Warning: This web page document is quite long and has many (intra)connecting links. Do NOT click on any links until the entire document has been loaded by your web browser.Return to Brian Schott @ GSU Show Return to the list of chapters Chapter: Descriptive StatisticsContents:21-1 Questions (a) to (c) refer to the following figure: 40-2 Numerator 41-1 Denominator 46-4
which of the following two events is the more unusual 50-1 In what sense is the mean 715-1 Which are the correct real limits for the frequency table given
below? 717-1 What can be said about these two classes? 723-1 A large mass of data can best be summarized pictorially by 1014-1
"For a symmetric distribution, the mean and median are" 1016-1 The mean and median for this data are: 1021-1 "increases 3 points, the median will
become" 1403-1 "Find S**2, the sample variance." 1562-1 If you are told a population has a mean of 25 and a variance of 0 1719-1
Only a very small (5 or 10) percentage of measurements can 1743-1 ____X___________Frequency of X 1743-2 "If the mean, median and mode of a distribution
are 5, 6, 7 " 1745-1 would be most influenced by an extreme score? 1745-3 the median as 65. One would expect this distribution to be 1746-1
sensitive to extreme scores on the higher or lower end 1746-3 Which of the following is not a measure of central tendency 1797-2 "In a group of 12
scores, the largest score is increased by 36 points." 1799-2 The quantity SUM(X - XBAR) is not used as a measure of dispersion 1802-3 "In popular usage, the term average may refer to:" 1803-1
The mean is a measure of: 1805-2 X(I)______Freq(I) 1810-1 The mean XBAR of the data above is 1811-1
A sample of 5 persons with hypertension underwent a special blood 1820-3 If a teacher computes the mean for a set of test scores and then 1821-1 "In a
set of 10 scores the value 2 occurs three times, the value 4" 1838-1 Prepare the frequency distribution table 1839-2 whose hot dogs would you buy? Why? 1840-1
For each characteristic obtain a frequency plot 1847-2 Which worker appears to be faster in completing the job? 1849-1 Should the manager order the study
repeated to 1855-4 Is this evidence that there is likely to be a mistake 1862-1 "3,3,3,3,3 is:" 1862-2 The sample
variance of the following sample of five numbers 1864-1 "The variance, S(Y)**2, of the numbers 4, 6 is" 1866-1 Let us define a new statistic as the distance between 70th sample 1867-1
Which one of the following CANNOT be used as a measure of dispersion? 1874-1 "Generally, a small standard deviation implies that the measurements" 1876-1
Which of the following relations is always correct: 1878-1 "If a constant were to be added to a set of scores, the standard" 1878-2 Increasing the
frequencies in the tails of a distribution will: 1879-1 "If the variance of a distribution is 9, the standard deviation is:" 1879-2 "If 5 were subtracted from each score, the standard deviation" 1879-3
What is the relationship between the variance of a set of scores and the 1883-1 Then which of the following statements about this second sample 1884-3
"Two suppliers offer a machine part with the required 1"" diameter." 1885-3 Which of the following indices will be changed from 1886-1 "Each year, during
a period of seven years, Mrs. Smith gave birth " 1887-4 "Given that n = 25, SUM(i = 1,25)((X(i) - XBAR)**2) = 600, and" 1888-2 What is the standard deviation for the following set of scores: 1889-2
Calculate the variance and standard deviataion for the data given: 1891-3 Which data set has the larger standard deviation? 1896-3 The standard deviation
of a group of scores is 0 when all the scores 1897-2 The standard deviation is a point in a distribution. 1899-1 The standard deviation is a measure of dispersion around the mean. 1901-2 "If the standard deviation of a set of scores is zero, " 1907-3 "[SUM(i = 1,n)(X(i)**2)]/n is:" 1910-1 "Find S**2, the unbiased estimator" 1911-1 "The variance, S**2, of this data is closest to:" 1914-1 "The variance for the sample [47.1, 33.1, 26.1, 40.1, 54.1] is:" 1916-1
The variance of a group of 10 scores was 16. If 2 were subtracted 1920-1 The scores that have the greatest effect on the value of the variance 1920-3 Why
is the numerator squared? 1950-1 The variance of a set of negative numbers is negative. 2000-1 would you expect the histogram for the group to look most like 2002-1
Explain why histograms and frequency polygons are used in statistics. 2003-1 Construct a histogram using the 9 class intervals. 2005-1 "Using your
relative frequency histogram, indicate " 2006-3 Plot a histogram showing roughly the relative frequencies 2008-1 Construct a frequency distribution using the class limits: 2009-3
Explain why the above graph is misleading. 2011-1 Assume half the subjects are male and half are female. 2012-1 Discuss the problems involved in drawing
a histogram from this table. 2014-1 HISTOGRAM 2015-1 "In Table A, what proportion of those whose reading speed was more than" 2016-1
and a relative frequency diagram are drawn for the following data: 2017-1 a person with a raw score of 10 has a higher score than what percent 2019-1 the
total number of cases observed at each score value 2019-3 the width of each interval would be: 2020-1 "If the same test were administered to fifth graders, what" 2020-2
A frequency distribution provides the following information: 2030-1 Relative frequency distributions permit comparisons between 2033-2 A percentile score
of 40 indicates that a person 2033-3 If a person earned a score higher than 35 persons in his class 2034-1 is approximately equivalent to a percentile rank of ________? 2036-1
"Using the above distribution, answer the following questions." 2037-1 "Complete this sentence: ""The kth percentile of a given distribution" 2038-1 the
78th percentile. If five points were added 2038-2 If a given score is at the 30th percentile for reference group 2042-2 "If 40% of a group obtain scores below 70, the percentile rank of" 2043-2
Half (50%) of the values in a distribution are 2044-1 "On the same test, Tom scored at the 87th percentile, and Bill scored" 2045-1 For items (i)-(iii)
use the following graph. 2050-4 Explain to a friend who has not studied statistics what this fact 2053-3 The 40th percentile of a distribution is the value above which 2053-4
"If the percentile rank for the value 60 is 40, this means that" 2057-4 Frequency distributions are useful for ALL BUT which of the following 2065-1 The
skewness of the population is: 2066-1 How may the distribution be described? 2119-2 A graphical presentation may accomplish ALL BUT which of the following 2890-3
A sample is: Return to the list of chapters Return to Brian Schott @ GSU Questions:21-1 Q: Questions (a) to (c) refer to the following figure:
|
|
Frequency | B
|
| B B
|
| A C
| C C
|
| A A
| C C
| B B
| A C A C
| A C B B A C
|A C B B A C
--------------------------------------------------->
Score
NOTE: Connect the A points with a smooth curve to form
distribution A, the B points with a smooth curve
to form distribution B, and the C points with a
smooth curve to form distribution C.
a. In the figure, which distribution's mean differs from the mean
of the other two distributions?
b. In the figure, which distribution has the smallest standard
deviation?
c. In the figure, is it likely that the mean of distribution A
corresponds closely with the mode of distribution B?
a. Yes b. No c. Cannot be determined
Back to this chapter's Contents Look at the answer 40-2 Q: Define the following term and give an example of its use.
Your example should not be one given in class or in a handout.
Numerator
Back to this chapter's Contents Look at the answer 41-1 Q: Define the following term and give an example of its use.
Your example should not be one given in class or in a handout.
Denominator
Back to this chapter's Contents Look at the answer 46-4 Q: Explain briefly how you would decide which of the following two events
is the more unusual:
a. A 90 degree day in Vermont.
b. A 100 degree day in Florida.
Back to this chapter's Contents Look at the answer 50-1 Q: In what sense is the mean of any distribution the "best guess"
of the score of any single individual selected at random from
the group?
a. In a series of such guesses, the sum of the errors in one
direction will balance the sum of the errors in the other
direction.
b. The mean score will occur more often than any other single
score.
c. The chances are 50-50 that any individual will be above or
below the mean.
d. All the above are true.
e. None of the above is true.
Back to this chapter's Contents Look at the answer 715-1 Q: The heights of a sample of ten people are:
67 73 70 60 67 66 68 71 70 67.
Which are the correct real limits for the frequency table given below?
Frequency (a) (b) (c)
1 60.5-63.5 60-62 59.5-62.5
0 63.5-66.5 63-65 62.5-65.5
5 66.5-69.5 66-68 65.5-68.5
3 69.5-72.5 69-71 68.5-71.5
1 72.5-75.5 72-74 71.5-74.5
(1) Column a is correct
(2) Column b is correct
(3) Column c is correct
(4) All of columns a,b,c are correct
(5) None of columns a,b,c are correct
Back to this chapter's Contents Look at the answer 717-1 Q: Ms. Sweetwater's biology class had a standard deviation of 2.4 on a
standardized test, while Ms. Quincy's biology had a standard deviation
of 1.2 on the same test. What can be said about these two classes?
a. Ms. Sweetwater's class is more homogeneous than Ms. Quincy's.
b. Ms. Quincy's class is less heterogeneous than Ms. Sweetwater's.
c. Ms. Quincy's class did less well on the test than Ms. Sweet-
water's.
d. Ms. Sweetwater's class performed twice as well on the test as
Ms. Quincy's.
Back to this chapter's Contents Look at the answer 723-1 Q: A large mass of data can best be summarized pictorially by means
of:
a. the range
b. a histogram
c. the frequency table
d. XBAR and S(Y**2)
Back to this chapter's Contents Look at the answer 1014-1 Q: For a symmetric distribution, the mean and median are
1. the same
2. always different
3. possibly the same, possibly different
4. insufficient information.
Back to this chapter's Contents Look at the answer 1016-1 Q: Consider the following data:
1, 7, 3, 3, 6, 4
The mean and median for this data are:
A. 4 and 3 D. 4.8 and 3
B. 4.8 and 3 1/2 E. 4 and 3 1/2
C. 4 and 3 1/3
Back to this chapter's Contents Look at the answer 1021-1 Q: A distribution of 6 scores has a median of 21. If the highest score
increases 3 points, the median will become ___________.
a. 21
b. 21.5
c. 24
d. Cannot be determined without additional information.
e. none of these
Back to this chapter's Contents Look at the answer 1403-1 Q: Consider the following data:
53, 61, 38, 65, 72, 58, 52, 63, 69, 74, 66
You are given that SUM(i = 1, 11)(Y(i) - YBAR)**2 = 1082
and SUM(i = 1, 11)(Y(i)) = 671.
i) Find YBAR, the sample mean.
a) 67.1 b) 98.4 c) 108.2 d) 61.0
e) None of the above
ii) Find S**2, the sample variance.
a) 98 4/11 b) 108.2 c) 0 d) 67.1
e) None of the above
Back to this chapter's Contents Look at the answer 1562-1 Q: If you are told a population has a mean of 25 and a variance of 0,
what must you conclude?
a. Someone has made a mistake.
b. There is only one element in the population.
c. There are no elements in the population.
d. All the elements in the population are 25.
e. None of the above.
Back to this chapter's Contents Look at the answer 1719-1 Q: True or False? If False, correct it.
Only a very small (5 or 10) percentage of measurements can be more
than two standard deviations from the mean.
Back to this chapter's Contents Look at the answer 1743-1 Q: The sample mean of the following sample
X Frequency of X
-----------------------------------
2 1
3 2
4 3
is: (1) 3
(2) 2
(3) 20
(4) 20/9 = 2.22
(5) 20/6 = 3.33
Back to this chapter's Contents Look at the answer 1743-2 Q: If the mean, median and mode of a distribution are 5, 6, 7 respec-
tively, then the distribution is:
1. skewed negatively
2. not skewed
3. skewed positively
4. symmetrical
5. bimodal.
Back to this chapter's Contents Look at the answer 1745-1 Q: Which of the following measures of central tendency tends to
be most influenced by an extreme score?
a. median
b. mode
c. mean
Back to this chapter's Contents Look at the answer 1745-3 Q: In a frequency distribution of 250 scores, the mean is reported as 78
and the median as 65. One would expect this distribution to be
a. positively skewed.
b. negatively skewed.
c. symmetrical but not rectangular or normal.
d. normal.
e. rectangular.
Back to this chapter's Contents Look at the answer 1746-1 Q: The measure of central tendency which is sensitive to extreme scores
on the higher or lower end of a distribution is the:
a. median.
b. mean.
c. mode.
d. all of the above
e. none of the above
Back to this chapter's Contents Look at the answer 1746-3 Q: Which of the following is not a measure of central tendency?
a. mean d. standard deviation
b. median e. none of these
c. mode
Back to this chapter's Contents Look at the answer 1797-2 Q: In a group of 12 scores, the largest score is increased by 36 points.
What effect will this have on the mean of the scores?
a. it will be increased by 12 points
b. it will remain unchanged
c. it will be increased by 3 points
d. it will increase by 36 points
e. there is no way of knowing exactly how many points the mean
will be increased.
Back to this chapter's Contents Look at the answer 1799-2 Q: The quantity SUM(X - XBAR) is not used as a measure of dispersion
because it is:
(a) always equal to zero
(b) always a positive value
(c) too difficult to work with
(d) always a negative value.
Back to this chapter's Contents Look at the answer 1802-3 Q: In popular usage, the term average may refer to:
a. The mean
b. The median
c. The mode
d. None of these
e. All of these
Back to this chapter's Contents Look at the answer 1803-1 Q: The mean is a measure of:
a. variability.
b. position.
c. skewness.
d. central tendency.
e. symmetry.
Back to this chapter's Contents Look at the answer 1805-2 Q: The mean of the following data is:
X(I) Freq(I)
----------------
0 4
1 3
2 1
3 0
4 1
a. 9/5
b. 9
c. 9/4
d. 1
e. none of the above
Back to this chapter's Contents Look at the answer 1810-1 Q: Consider the following data:
-4, 3, 8, -2, 7, 7, 6, 11, 4, 10
The mean XBAR of the data above is
(a) 4.00 (d) 5.60
(b) 4.60 (e) none of these.
(c) 5.00
Back to this chapter's Contents Look at the answer 1811-1 Q: A sample of 5 persons with hypertension underwent a special blood-
pressure-reducing treatment program which resulted in the following
reductions in systolic blood pressure for these persons (i.e. the
scores give SBP after treatment - SBP before treatment): -5, 10,
20, 5, 10. The mean of this sample is
a. 10 b. 9 c. 8 d. 40 e. none of these
Back to this chapter's Contents Look at the answer 1820-3 Q: If a teacher computes the mean for a set of test scores and then
subtracts this mean from each score, the SUM of the resulting set of
difference scores will equal
a. zero.
b. unity.
c. n, the number of scores.
d. the mean.
e. n times the mean.
Back to this chapter's Contents Look at the answer 1821-1 Q: In a set of 10 scores the value 2 occurs three times, the value 4
occurs twice, 6 occurs twice, and 7 occurs three times. What is the
mean of the scores?
a. (2 + 2 + 6 + 7)/4
b. (2 + 4 + 6 + 7)/10
c. (3*2 + 2*4 + 2*6 + 3*7)/4
d. (3*2 + 2*4 + 2*6 + 3*7)/10
Back to this chapter's Contents Look at the answer 1838-1 Q: The following data represent scores of 50 students in a calculus
test.
72 72 93 70 59 78 74 65 73 80
57 67 72 57 83 76 74 56 68 67
74 76 79 72 61 72 73 76 67 49
71 53 67 65 100 83 69 61 72 68
65 51 75 68 75 66 77 61 64 74
a. Prepare the frequency distribution table and the frequency
histogram for this data set.
b. Compute the sample mean XBAR, sample median X(M), sample range
R, interquantile range and sample variance S**2.
c. Does the data set represent a sample or a population?
If it is a sample, describe the population from which it
has been drawn.
Back to this chapter's Contents Look at the answer 1839-2 Q: a. For each of the samples listed below obtain:
1. a mean
2. a variance, and
3. a standard deviation
Each sample was randomly obtained from the production of the hot
dog manufacturer listed.
Company Dog Length(inches)
A 5,5,5,5,5
B 6,5,5,5,4
C 9,9,5,1,1
D 9,5,5,5,1
E 9,5,5,5,5,5,5,5,5,1
F 9,9,9,4,4,3,3,3,3,3
b. Given that the price per hot dog is the same for all manufacturers,
whose hot dogs would you buy? Why?
Back to this chapter's Contents Look at the answer 1840-1 Q: Below are measurements of characteristics for two samples of interest,
For each characteristic obtain:
a. Mean
b. Variance
c. Standard deviation
d. Frequency plot
DATA:
MALE HEIGHTS (inches) LENGTH OF INDEX FINGER (inches)
66 71 3.0 3.2
68 71 3.5 2.8
69 72 3.4 2.9
68 69 3.5 3.1
71 71 3.7 3.1
73 70 3.2 3.3
67 72 3.5 3.2
68 69 3.4 3.5
65 70 3.1 2.9
72 70 3.5 3.1
Back to this chapter's Contents Look at the answer 1847-2 Q: Two workers on the same job show the following results over a long
period of time.
Worker Worker
A B
-------------------------------------------------------------------
Mean time of completing the job (minutes) 30 25
Standard deviation (minutes) 6 4
a. Which worker appears to be more consistent in the time he
requires to complete the job? Explain.
b. Which worker appears to be faster in completing the job?
Explain.
Back to this chapter's Contents Look at the answer 1849-1 Q: Suppose the manager of a plant is concerned with the total
number of man-hours lost due to accidents for the past 12
months. The company statistician has reported the mean number
of man-hours lost per month but did not keep a record of the
total sum. Should the manager order the study repeated to
obtain the desired information? Explain your answer clearly.
Back to this chapter's Contents Look at the answer 1855-4 Q: Answer the question by circling either "YES" or "NO" and by responding
to the subsequent question if it applies to your answer.
Suppose I calculate the mean of a distribution to be 15 and the stan-
dard deviation to be 15. Is this evidence that there is likely to be
a mistake in my calculations?
YES or NO? If YES, why?
Back to this chapter's Contents Look at the answer 1862-1 Q: The sample variance of the following sample of five numbers
3,3,3,3,3 is:
(1) 0
(2) 3
(3) 9
(4) 11.25
(5) 45
Back to this chapter's Contents Look at the answer 1862-2 Q: The sample variance of the following sample of five numbers
1,2,3,4,5 is:
(1) 2.5
(2) 9
(3) 10
(4) 13.3
(5) 55
Back to this chapter's Contents Look at the answer 1864-1 Q: The variance, S(Y)**2, of the numbers 4, 6 is
(a) 2.0
(b) 1.0
(c) 0.5
(d) 0.25
Back to this chapter's Contents Look at the answer 1866-1 Q: Let us define a new statistic as the distance between 70th sample
percentile and 30th sample percentile. This new statistic would give
us information concerning
a. central tendency.
b. variability.
c. relative position.
d. skewness.
e. symmetry.
Back to this chapter's Contents Look at the answer 1867-1 Q: Which one of the following CANNOT be used as a measure of dispersion?
a. The difference between the third and first quartiles
b. [SUM(X(i)-XBAR)]/[n]
c. [SUM(]X(i)-XBAR])]/[n]
d. The difference between the 90th and 10th percentiles
Back to this chapter's Contents Look at the answer 1874-1 Q: True or False? If False, explain why.
Generally, a small standard deviation implies that the measurements
are clustered close to the mean.
Back to this chapter's Contents Look at the answer 1876-1 Q: Which of the following relations is always correct:
1. SUM(X) = 0
2. SUM(X - XBAR) = 0
3. SUM(]X - XBAR]) = 0
4. SUM((X - XBAR)**2) = 0
5. SUM(X - a) = 0
Back to this chapter's Contents Look at the answer 1878-1 Q: If a constant were to be added to a set of scores, the standard
deviation would:
a. remain the same.
b. increase by the square root of that constant.
c. increase by the square of that constant.
d. increase by the magnitude of that constant.
e. none of the above.
Back to this chapter's Contents Look at the answer 1878-2 Q: Increasing the frequencies in the tails of a distribution will:
a. reduce the standard deviation.
b. not affect the standard deviation.
c. increase the standard deviation.
d. not affect the standard deviation as long as the increases are
balanced on each side of the mean.
e. none of the above
Back to this chapter's Contents Look at the answer 1879-1 Q: If the variance of a distribution is 9, the standard deviation is:
a. 3
b. 6
c. 9
d. 81
e. impossible to determine without knowing n.
Back to this chapter's Contents Look at the answer 1879-2 Q: The standard deviation of a group of scores is 10. If 5 were
subtracted from each score, the standard deviation of the new
scores would be
1. 2
2. 10/25
3. 5
4. none of these.
Back to this chapter's Contents Look at the answer 1879-3 Q: What is the relationship between the variance of a set of scores and the
standard deviation of those scores?
a. variance = (standard deviation)**2
b. standard deviation = (variance)**2
c. variance = mean/standard deviation
d. standard deviation = mean/variance
Back to this chapter's Contents Look at the answer 1883-1 Q: A sample of 5 persons with hypertension underwent a special blood-
pressure-reducing treatment program which resulted in the following
values giving reduction in systolic blood pressure for these per-
sons (i.e. the scores give SBP after treatment - SBP before treat-
ment): -5, 10, 20, 5, 10.
Suppose for a second sample of 5 persons, the sample mean is 10, and
the sample variance is 25. Then which of the following statements
about this second sample is not correct?
a. A person with a SBP reduction of 20 units is 2 standard deviations
above the sample mean.
b. A person with a SBP reduction of -5 units is 3 standard deviations
below the sample mean.
c. The sum of the squared deviations of SBP reduction scores from
the sample mean, i.e. SUM((X - XBAR)**2), is 100.
d. The sample median cannot be determined from the information pro-
vided.
e. Any SBP reduction score between 0 and 20 is within one standard
deviation of the sample mean.
Back to this chapter's Contents Look at the answer 1884-3 Q: Two suppliers offer a machine part with the required 1" diameter.
Samples indicate that supplier A's product has a standard deviation
of 0.12 in. and supplier B's product has a standard deviation of 0.15
in. Which of the following statements is true?
a. A offers a more homogeneous product.
b. B offers a more homogeneous product.
c. The standard deviation has no relationship to the quality of the
product.
d. Only the mean is important in buying the machine part.
Back to this chapter's Contents Look at the answer 1885-3 Q: The following set of scores is obtained on a test, X: 4, 6, 8, 9,
11, 13, 16, 24, 24, 24, 26. The teacher computes all of the
descriptive indices of central tendency and variability on these
data, then discovers that an error was made, and one of the 24's is
actually a 17. Which of the following indices will be changed from
the original computation?
a. Median
b. Mode
c. Range
d. Standard deviation
e. None of the above
Back to this chapter's Contents Look at the answer 1886-1 Q: Each year, during a period of seven years, Mrs. Smith gave birth to a
child. The standard deviation of the ages (in whole years) of the 7
children of the family Smith is equal to
a. 2
b. 4
c. 7
d. Cannot be calculated if the present age of the children is not known
Back to this chapter's Contents Look at the answer 1887-4 Q: Given that n = 25, SUM(i = 1,25)((X(i) - XBAR)**2) = 600, and
XBAR = 156, calculate the variance and standard deviation.
Back to this chapter's Contents Look at the answer 1888-2 Q: What is the standard deviation for the following set of scores:
1,1,7,13,13? In calculating the standard deviation, use the
formula below:
S = SQRT ((SUM(X-XBAR)**2)/(n-1))
Back to this chapter's Contents Look at the answer 1889-2 Q: Calculate the variance and standard deviataion for the data given:
(58, 50, 55, 53, 59)
Back to this chapter's Contents Look at the answer 1891-3 Q: Listed below are two sample data sets, S and T. Which data set
has the larger standard deviation? (Hint: you can answer this
question by inspecting the two data sets. But if you are not
sure after inspection, calculate the standard deviation.)
Data Set S: 1, 2, 3, 4, 5, 6, 7, 8, 9
Data Set T: 8, 9, 9, 9, 10, 11, 11, 12
Back to this chapter's Contents Look at the answer 1896-3 Q: True or False? If false, correct it.
The standard deviation of a group of scores is 0 when all the scores
are the same.
Back to this chapter's Contents Look at the answer 1897-2 Q: True or False? If False, correct it.
The standard deviation is a point in a distribution.
Back to this chapter's Contents Look at the answer 1899-1 Q: True or False? If False, correct it.
The standard deviation is a measure of dispersion around the mean.
Back to this chapter's Contents Look at the answer 1901-2 Q: True or false? If false, explain why.
If the standard deviation of a set of scores is zero, all the
scores have the same value.
Back to this chapter's Contents Look at the answer 1907-3 Q: [SUM(i = 1,n)(X(i)**2)]/n is:
a. the variance.
b. the standard deviation.
c. the variance only when the mean equals zero.
d. the standard deviation only when the mean equals zero.
e. none of the above.
Back to this chapter's Contents Look at the answer 1910-1 Q: Consider the following data:
53, 61, 38, 65, 72, 58, 52, 63, 69, 74, 66.
You are given that SUM(i = 1,11)([Y(i) - YBAR]**2) = 1082 and
SUM(i = 1,11)(Y(i)) = 671. Find S**2, the unbiased estimator
of the sample variance.
a) 98 + 4/11
b) 108.2
c) 61
d) 67.2
e) none of the above
Back to this chapter's Contents Look at the answer 1911-1 Q: Consider the following data:
1,7,3,3,6,4
The variance, S**2, of this data is closest to:
A. 2 D. 5
B. 3 E. 6
C. 4
Back to this chapter's Contents Look at the answer 1914-1 Q: The variance for the sample [47.1, 33.1, 26.1, 40.1, 54.1] is:
a. 72.8 d. 122.5
b. 98.0 e. none of these
c. 143.1
Back to this chapter's Contents Look at the answer 1916-1 Q: The variance of a group of 10 scores was 16. If 2 were subtracted
from each score, the variance of the new scores would be:
a. 14
b. 4
c. 16
d. none of these
Back to this chapter's Contents Look at the answer 1920-1 Q: The scores that have the greatest effect on the value of the variance
are those
a. above the mean.
b. below the mean.
c. nearest the mean.
d. farthest from the mean.
Back to this chapter's Contents Look at the answer 1920-3 Q: The sample variance is calculated as the average of the squared devia-
tions of all the scores from the mean:
SUM(i=1,n)([[X(i)-XBAR]**2]/[n-1]
Why is the numerator squared?
a. Because otherwise you could get a negative variance, and this is
not allowed.
b. Because otherwise the variance would always be equal to 0.
c. Because then the square root of the variance (i.e. the standard
deviation) is in the original measurement units.
d. Because then the mean absolute deviation is minimal.
Back to this chapter's Contents Look at the answer 1950-1 Q: True or False? If false correct it.
The variance of a set of negative numbers is negative.
Back to this chapter's Contents Look at the answer 2000-1 Q: The median weight for a group of men is 65 kg; the mean is 75 kg.
Based on your knowledge of the mean and median would you expect
the histogram for the group to look most like (a), (b), or (c)
below?
a) |
|
Frequency | ---
| | |
| | |--
| | | |
| --| | |--
| | | | | |
| | | | | |--
| | | | | | |
| --| | | | | |
| | | | | | | |
| | | | | | | |--
| | | | | | | | |
| | | | | | | | |--------
| | | | | | | | | | | | |
| | | | | | | | | | | | |--------
| | | | | | | | | | | | | | | | |
| | | | | | | | | | | | | | | | |
--//-----------+--------------------------->
0 65
Weight in Kg
b) |
|
Frequency |
|
| ---
| | |
| | |
| --| |--
| | | | |
| --| | | |--
| --| | | | | |--
| | | | | | | | |
| --| | | | | | | |--
| | | | | | | | | | |
| | | | | | | | | | |
--//-----------+--------------------------->
0 65
Weight in Kg
c) |
|
Frequency |
|
| ---
| | |
| --| |
| | | |
| --| | |--
| | | | | |
| --| | | | |
| | | | | | |
| | | | | | |
| ----| | | | | |
| | | | | | | | |
| ----| | | | | | | |
| | | | | | | | | | |
| | | | | | | | | | |
--//-----------+--------------------------->
0 65
Weight in Kg
Back to this chapter's Contents Look at the answer 2002-1 Q: Explain why histograms and frequency polygons are used in statistics. Back to this chapter's Contents Look at the answer 2003-1 Q: On a final examination, the following scores were earned: 5,6,7,7,
10,15,16,16,17,17,22,22,22,25,26,28,31,33,35,37,40. Use these data to
answer the following 4 questions.
1. Construct a frequency table for this data, grouping the data
into 9 class intervals.
2. Construct a histogram using the 9 class intervals. Be sure to
properly construct and label the histogram.
3. What are the exact or real limits of the lowest class interval?
Back to this chapter's Contents Look at the answer 2005-1 Q: Suppose that the variable Y can only take on the following five values
with relative frequencies as indicated below:
Y Rel. Freq. Cumulative Rel. Freq.
- ---------- ---------------------
0 5/100
1 25/100
2 30/100
3 25/100
4 15/100
a. Fill in the cumulative relative frequencies.
b. Using 5 classes with unit widths and identifying the midpoints of
the classes with the values of Y, plot the relative frequency
histogram for the data.
c. Using your relative frequency histogram, indicate the positions
of the mean, median, and mode.
d. If relative frequency is given as the interpretation of probability,
then what is the probability that Y is greater than or equal to 2?
Back to this chapter's Contents Look at the answer 2006-3 Q: A report states that a measurement is approximately normally
distributed with mean 3.5 and variance 1. Further, it states that
measurements were recorded for 7 measurement classes 0-1,1-2, etc.
Plot a histogram showing roughly the relative frequencies of these
measurement classes.
Back to this chapter's Contents Look at the answer 2008-1 Q: Given the following data:
18, 13, 2, 20, 8, 10, 5, 10, 6, 9, 10, 20, 2
15, 16, 16, 13, 10, 17, 10, 3, 2, 15, 8, 5
a) Construct a frequency distribution using the class limits:
1-4, 5-8, 9-12, 13-16, 17-20.
b) Construct a relative frequency histogram using the results
of part a).
c) Why might it be useful to construct a frequency distribution
and/or a histogram of the sample data?
Back to this chapter's Contents Look at the answer 2009-3 Q: |
|
150 + -----
| | |
100 + ----- | |
# OF | | | | |
PEOPLE 30 + | | | | ----- -----
| | | | | | | | |
5 + | | | | | | | | -----
| | | | | | | | | | |
--------+-------+-------+-------+-------+-----
1 2 3 4 5
or less or more
AGE OF CAR IN YEARS
Explain why the above graph is misleading.
Back to this chapter's Contents Look at the answer 2011-1 Q: Suppose you are given a data set to analyze. The data consist of 1000
observations on one variable, the height of the subject being inter-
viewed. Assume half the subjects are male and half are female. The
sample mean height of the males is larger than the sample mean height
of the females, while the sample standard deviation of the females is
larger than the sample standard deviation of the males. Both histo-
grams are approximately symmetric. Draw two histograms, one for males
and one for females, to illustrate these facts.
Back to this chapter's Contents Look at the answer 2012-1 Q: A friend of yours heard that you were taking statistics and has
presented you with the following table from which he wants you to
construct a histogram.
Age Relative Frequency (%)
----- ----------------------
0-14 28.4
15-44 50.5
45+ 21.1
-----
100.0
Discuss the problems involved in drawing a histogram from this table.
Back to this chapter's Contents Look at the answer 2014-1 Q: Define the following term and give an example of its use.
Your example should not be one given in class or in a handout.
HISTOGRAM
Back to this chapter's Contents Look at the answer 2015-1 Q: TABLE A The following table is a cross-tabulation of age and
reading speed of 100 pupils.
Age to the nearest month
94-103 104-113 114-123 124-133 134-143 144-153 | f(Y)
|
46-51 4 1 | 5
Score 40-45 2 10 5 | 17
on 34-39 1 5 2 | 8
reading 28-33 2 8 6 3 1 1 | 21
speed 22-27 9 13 3 | 25
16-21 1 5 4 2 1 1 | 14
10-15 2 3 3 1 1 | 10
---------------------------------------------------------------
f(X) 6 43 34 11 3 3 |100
In Table A, what proportion of those whose reading speed was more than
33 were aged between 104 and 113 months?
a. 19/30
b. 27/51
c. 19/43
d. 27/43
e. 19/100
Back to this chapter's Contents Look at the answer 2016-1 Q: Both a frequency diagram and a relative frequency
diagram are drawn for the following data:
X f
15 3
17 5
19 4
23 3
29 1
We can state that
a. both will have the same values on the horizontal axis.
b. the frequency diagram will be less precise than the
relative frequency diagram.
c. one depicts data in many-value classes while the
other depicts single-value classes.
d. both depict continuous variables.
Back to this chapter's Contents Look at the answer 2017-1 Q: The figure below indicates that a person with a raw score of 10 has a
higher score than what percent of the persons in the group?
| NOTE: In order to complete the figure,
| connect the *'s with a smooth curve.
Cumulative |
Proportion 100 + *
|
90 + *
| *
80 +
|
70 +
|
60 +
|
50 +
|
40 + *
|
30 +
|
20 +
| *
10 + *
| *
*---+---+---+---+---+---+---+---+-------->
2 4 6 8 10 12 14 16
Raw Score
a. 10 b. 50 c. 82 d. 93
Back to this chapter's Contents Look at the answer 2019-1 Q: A list of the percentages of the total number of cases observed at
each score value or each subinterval of scores is:
a. a histogram d. a normal distribution
b. a relative frequency distribution e. none of these
c. a cumulative frequency polygon
Back to this chapter's Contents Look at the answer 2019-3 Q: If our lowest score were 40, and the highest score were 189, n=200,
and we decide to group our scores into 15 class intervals for a
frequency distribution, the width of each interval would be:
a. 5
b. 10
c. 12
d. 15
e. Insufficient information to answer
Back to this chapter's Contents Look at the answer 2020-1 Q: A reading test with 50 possible points yields a bell-shaped
distribution with scores ranging from 5 to 48 on a large sample of
third graders. If the same test were administered to fifth graders,
what would we expect the form of the frequency distribution to be?
a. Negatively skewed (skewed to the left)
b. Symmetric and bell-shaped
c. Symmetric, but not bell-shaped
d. Positively skewed (skewed to the right)
e. None of the above
Back to this chapter's Contents Look at the answer 2020-2 Q: A frequency distribution provides the following information:
a) The value of the measurement and the number of individuals with
that value.
b) The value of the measurement and the percent of individuals with
that value.
c) The value of the measurement and the percent of individuals with
that value or a smaller one.
Back to this chapter's Contents Look at the answer 2030-1 Q: True or False? If False, correct it.
Relative frequency distributions permit comparisons between data sets
of different sizes.
Back to this chapter's Contents Look at the answer 2033-2 Q: A percentile score of 40 indicates that a person
a. answered 40% of the questions correctly on the test;
b. knows 40% of the material covered by the examination;
c. has earned a score equal to or better than 40 persons in
his class;
d. has earned a score equal to or better than 40% of the
persons in his class.
Back to this chapter's Contents Look at the answer 2033-3 Q: If a person earned a score higher than 35 persons in his class
of 50 students, what is his percentile score?
a. 35
b. 50
c. 70
d. 90
Back to this chapter's Contents Look at the answer 2034-1 Q: The scores on a midterm examination are presented below in decreasing
order of magnitude. A score of 63 is approximately equivalent
to a percentile rank of ________?
65 63 61 60 57 56
65 62 61 59 57 56
65 62 60 59 57 56
64 62 60 58 57 48
64 61 60 58 57 47
a. 20
b. 25
c. 63
d. 80
Back to this chapter's Contents Look at the answer 2036-1 Q: Class interval f Cum f Cum %
75-83 5 200 100.0
66-74 12 195 97.5
57-65 15 183 91.5
48-56 38 168 84.0
39-47 60 130 65.0
30-38 40 90 35.0
21-29 13 30 15.0
12-20 10 17 8.5
3-11 7 7 3.5
-------
N=200
Using the above distribution, answer the following questions.
1) The frequency of 38 in the interval 48-56 means:
a. 38 frequencies are at the upper real limit of the interval.
b. 38 frequencies are at the lower real limit of the interval.
c. 38 frequencies are spread out throughout the interval.
d. 38 frequencies are at the upper apparent limit of the
interval.
e. 38 frequencies are at the lower apparent limit of the
interval.
2) A cumulative percentage of 97.5 means that:
a. 97.5 cases fall below a score of 74.
b. 97.5% of the cases fall below a score of 74.
c. 97.5% of the cases fall below a score of 65.5.
d. 97.5% of the cases fall below a midpoint of the interval
66-74.
e. 97.5% of the cases fall below a score of 74.5.
3) The score above which 35% of the cases are found is:
a. 70
b. 40
c. 38.5
d. 29.5
e. 47.5
Back to this chapter's Contents Look at the answer 2037-1 Q: Complete this sentence: "The kth percentile of a given distribution
is ...":
a. the score at which k% of the cases fall.
b. the score above which k% of the cases fall.
c. the score below which k% of the cases fall.
d. cannot answer without knowing the precise numerical
value of k.
e. more than one of the above is correct.
Back to this chapter's Contents Look at the answer 2038-1 Q: Edith G. obtained a score of 65 in a statistics test, placing her at
the 78th percentile. If five points were added to each score in the
distribution, her new score would be at the:
a. 83rd percentile.
b. 78th percentile.
c. 70th percentile.
d. none of the above.
e. impossible to answer without additional information.
Back to this chapter's Contents Look at the answer 2038-2 Q: If a given score is at the 30th percentile for reference group
A and the 60th percentile for reference group B, which of the
following is most likely true?
a. Individuals in reference group B generally performed
better on the test than those in group A.
b. A person at the 15th percentile with group A will be
at the 30th percentile with group B.
c. A person at the 80th percentile with reference group B
will be at the 50th percentile with group A.
d. Individuals in reference group B generally scored lower
on the test than those in reference group A.
e. None of the above.
Back to this chapter's Contents Look at the answer 2042-2 Q: If 40% of a group obtain scores below 70, the percentile rank of
the score is:
1. 30 4. 70
2. 40 5. none of these
3. 60
Back to this chapter's Contents Look at the answer 2043-2 Q: The following data are the number of hours worked per week by seven
State College students:
3, 7, 4, 6, 2, 8, 19
Half (50%) of the values in a distribution are
a. included in the range c. between the mean and mode
b. between Q(1) and Q(3) d. the mode and the highest value
Back to this chapter's Contents Look at the answer 2044-1 Q: On the same test, Tom scored at the 87th percentile, and Bill scored
at the 73rd. This means
a. Tom is 14% better than Bill.
b. Tom scored 14 more points than Bill.
c. 14% of those taking the test got scores ranging between Tom's
and Bill's.
d. there were only 13 people smarter than both Tom and Bill.
e. none of the above.
Back to this chapter's Contents Look at the answer 2045-1 Q: For items (i)-(iii) use the following graph.
Ogives of Distributions of Arithmetic Test
Scores for Seventh and Eighth Graders
(Note: Connect 7's with a smooth curve for seventh
grade ogive and connect 8's with a smooth curve for
eighth grade ogive.)
100+------------------------------------------------7---------8
| | | | | | |
- | | | | 7 | 8 |
| | | | | | |
90+--------|---------|---------|---------|--7------|-----8---|
| | | | | | |
- | | | 7 | |
| | | | | | |
80+--------|---------|---------|-------7-|---------|---8-----|
| | | | | | |
- | | | 7 | | |
| | | | | | |
70+--------|---------|---------|---------|---------|-8-------|
| | | | | | |
- | | | | | |
| | | | | 8 |
PERCENT 60+--------|---------|---------|---------|---------|---------|
| | | | | | |
- | | | | | |
| | | | | | |
50+--------|---------|---------|---------|---------|---------|
| | | | | | |
- | | 7 | 8 | |
| | | | | | |
40+--------|---------|---------|---------|---------|---------|
| | | | | | |
- | | | | | |
| | | | | | |
30+--------|---------|-----7---|---------|--8------|---------|
| | | | | | |
- | | | 8 | |
| | | | | | |
20+--------|---------|-7-------|-------8-|---------|---------|
| | | | | | |
- | 7 | | 8 | | |
| | | | | | |
10+--------|---------|-------8-|---------|---------|---------|
| | | | | | |
- 7 8 | | | |
| | | | | | |
0+----7---|--8------|---------|---------|---------|---------|
5 10 15 20 25 30
TEST SCORE
(i) What is the estimated percent of 8th grade pupils whose arith-
metic scores fall below the median score for grade 7?
a. 6
b. 12
c. 16
d. 24
e. It is impossible to estimate this percent from the ogives.
(ii) What would be the shape of the frequency distribution corres-
ponding to the 8th grade ogive?
a. Skewed to the left
b. Skewed to the right
c. Bimodal
d. Unimodal and symmetrical
e. It is impossible to tell from the ogive.
Back to this chapter's Contents Look at the answer 2050-4 Q: Suppose that the 60th percentile of a sample was 1468.3. Explain
to a friend who has not studied statistics what this fact tells you
about this sample.
Back to this chapter's Contents Look at the answer 2053-3 Q: True or False? If false, correct it.
The 40th percentile of a distribution is the value above which
60% of the distribution of values will fall.
Back to this chapter's Contents Look at the answer 2053-4 Q: True or False? If false, correct it.
If the percentile rank for the value 60 is 40, this means that
60% of the observations will fall above 40.
Back to this chapter's Contents Look at the answer 2057-4 Q: Frequency distributions are useful for ALL BUT which of the following
objectives?
a) Investigation of characteristics of each observation.
b) Summarization of data.
c) Condensation of large sets into smaller sets.
d) Illustration of the amount of variability in data.
Back to this chapter's Contents Look at the answer 2065-1 Q: The mean of the population of ten scores, 78, 91, 91, 94, 74, 23, 63,
22, 78, 89 is 70.3, and the modes are 78 and 91. The skewness of the
population is:
1. negative
2. zero
3. positive
4. not determined
5. positive or negative depending on the score.
Back to this chapter's Contents Look at the answer 2066-1 Q: The distribution of entrance test scores of freshmen in a particular
university has the following percentile scores. How may the
distribution be described?
Percentile Score
---------- -----
95th 140
80th 120
65th 101
50th 94
35th 91
20th 87
5th 80
a. Symmetrical bell-shaped
b. Skewed left (negatively skewed)
c. Skewed right (positively skewed)
d. Impossible to tell from the above
Back to this chapter's Contents Look at the answer 2119-2 Q: A graphical presentation may accomplish ALL BUT which of the following
objectives?
a) Illustrate the amount of variation in the data.
b) Illustrate approximately where the mean is.
c) Allow comparison with similar data.
d) Will have the exact same shape regardless of what units are used on
the axes.
Back to this chapter's Contents Look at the answer 2890-3 Q: A sample is:
a. a number resulting from the manipulation of raw data
according to specified rules.
b. a subset of a population.
c. a characteristic of a population which is measurable.
d. a complete set of individuals, objects, or measurements
having some common observable characteristic.
e. none of the above.
Back to this chapter's Contents Look at the answer Return to the list of chapters Return to Brian Schott @ GSU Answers:21-1 A: a. The mean of distribution C differs from the means of distributions
A and B.
b. Distribution B has the smallest standard deviation.
c. Yes, it is likely that the mean of distribution A corresponds
closely with the mode of distribution B.
Back to review this question Look at this question's identification Back to this chapter's Contents 40-2 A: Definition: The value divided when division is carried out.
Example: The expression 12/5 or (12 divided by 5) indicates that 12
is to be divided by 5. 12 is the numerator.
Back to review this question Look at this question's identification Back to this chapter's Contents 41-1 A: Definition: The value that "goes into" the value divided when division
is carried out or the value below the division symbol in a
fraction.
Example: The expression 12/5 or (12 divided by 5) indicates that 12
is to be divided by 5. 5 is the denominator. It is the
number that "goes into" 12.
Back to review this question Look at this question's identification Back to this chapter's Contents 46-4 A: One would examine previous weather records and note the relative fre-
quency of 90+ degree days in Vermont, and 100+ degree days in
Florida. Thus, relative frequencies are one method of estimating the
probability of each event. (Note: The smallest frequency is the
more unusual event.)
Back to review this question Look at this question's identification Back to this chapter's Contents 50-1 A: a. In a series of such guesses, the sum of the errors in one
direction will balance the sum of the errors in the other
direction.
Answers b. and c. are not necessarily true with distributions
other than normal distributions.
Back to review this question Look at this question's identification Back to this chapter's Contents 715-1 A: (3) Column c is correct Back to review this question Look at this question's identification Back to this chapter's Contents 717-1 A: b. Ms. Quincy's class is less heterogeneous than Ms. Sweetwater's. Back to review this question Look at this question's identification Back to this chapter's Contents 723-1 A: b. a histogram Back to review this question Look at this question's identification Back to this chapter's Contents 1014-1 A: 1. the same Back to review this question Look at this question's identification Back to this chapter's Contents 1016-1 A: E. 4 and 3.5
Mean = (1+7+3+3+6+4)/6
= 4
Data arranged in ascending order: 1,3,3,4,6,7
Median = (3+4)/2
= 3.5
Back to review this question Look at this question's identification Back to this chapter's Contents 1021-1 A: a. 21
Median is not sensitive to the relative magnitude of the scores but is
determined by their rank ordering, which is not affected by this change.
Back to review this question Look at this question's identification Back to this chapter's Contents 1403-1 A: i) 671/11 = 61.0, (d)
ii) 1082/10 = 108.2, (b)
Back to review this question Look at this question's identification Back to this chapter's Contents 1562-1 A: d. All the elements in the population are 25. Back to review this question Look at this question's identification Back to this chapter's Contents 1719-1 A: False. There are many distributions for which this statement is
false, however it is true for distributions that are approximately
normal.
Back to review this question Look at this question's identification Back to this chapter's Contents 1743-1 A: (5) 20/6 = 3.33 Back to review this question Look at this question's identification Back to this chapter's Contents 1743-2 A: 1. skewed negatively. Back to review this question Look at this question's identification Back to this chapter's Contents 1745-1 A: c. mean Back to review this question Look at this question's identification Back to this chapter's Contents 1745-3 A: a. positively skewed.
In a positively skewed distribution the mean is greater than the
median, while in a negatively skewed distribution the mean is less
than the median, and in a symmetrical distribution the mean is equal
to the median.
Back to review this question Look at this question's identification Back to this chapter's Contents 1746-1 A: b. mean. Back to review this question Look at this question's identification Back to this chapter's Contents 1746-3 A: d. standard deviation
Standard deviation is a measure of dispersion among the data.
Back to review this question Look at this question's identification Back to this chapter's Contents 1797-2 A: c. it will be increased by 3 points Back to review this question Look at this question's identification Back to this chapter's Contents 1799-2 A: (a) always equal to zero. Back to review this question Look at this question's identification Back to this chapter's Contents 1802-3 A: (E.) It may refer to any of these. Back to review this question Look at this question's identification Back to this chapter's Contents 1803-1 A: d. central tendency. Back to review this question Look at this question's identification Back to this chapter's Contents 1805-2 A: d. 1
mean = (SUM(X(I)*Freq(I)))/SUM(Freq(I))
Back to review this question Look at this question's identification Back to this chapter's Contents 1810-1 A: (c) 5.00 Back to review this question Look at this question's identification Back to this chapter's Contents 1811-1 A: c. 8
(-5 + 10 + 20 + 5 + 10)/5 = 8
Back to review this question Look at this question's identification Back to this chapter's Contents 1820-3 A: a. zero. Back to review this question Look at this question's identification Back to this chapter's Contents 1821-1 A: d. (3*2 + 2*4 + 2*6 + 3*7)/10 Back to review this question Look at this question's identification Back to this chapter's Contents 1838-1 A: a. SCORE | FREQUENCY
------------------------------
90 - 100 | 2
80 - 89 | 3
70 - 79 | 22
60 - 69 | 16
50 - 59 | 6
40 - 49 | 1
-----
| |
| |
-----| |
| | |
| | |
| | |
-----| | |
| | | |
| | | |-----
| | | | |
-----| | | | |-----
| | | | | | | | | | | | |
-----------------------------------------------
45 55 65 75 85 95
b. XBAR = 69.94
Median = 77.5
Interquantile Range = 75 - 65 = 10
Variance = 91.65
c. Insufficient information is given, but one assumes from part (b)
that it is a sample.
Back to review this question Look at this question's identification Back to this chapter's Contents 1839-2 A: a. Company Mean Variance St. Dev.
(SUM X(i))/n=XBAR S**2=(SUM(X-XBAR)**2)/n-1 S=SQRT(VAR.)
A 25/5=5 0 0
B 25/5=5 2/4=1/2=.5 SQRT( 1/2 )=.707
C 25/5=5 64/4=16 SQRT( 16 )=4
D 25/5=5 32/4=8 SQRT(8)=2.83
E 50/10=5 32/9=3.55 SQRT( 3.55)=1.89
F 50/10=5 70/9=7.78 SQRT(7.78)=2.79
b. This question may have a variety of answers. The decision would
depend on the purpose. If it was important to have as little
variability as possible when selling 5 inch hot dogs, company A
would be best since it has the least variability. However, if you
could profit from selling hot dogs in a variety of lengths, company
F might prove best since it shows a lot of variability and produces hot
dogs ranging from 9 to 3 inches in length.
Back to review this question Look at this question's identification Back to this chapter's Contents 1840-1 A: a. XBAR(height) = 1392/20 = 69.6
XBAR(length) = 64.9/20 = 3.245
b. S**2(height) = (SUM(X - 69.6)**2)/19
= 12.96 1.96
2.56 1.96
.36 5.76
deviations 2.56 .36
from the 1.96 1.96
mean squared 11.56 .16
are: 6.76 5.76
2.56 .36
21.16 .16
5.76 .16
S**2(height) = 86.8/19 = 4.568
S**2(length) = (SUM(X - 3.245)**2)/19
= .06 .002
.065 .198
.024 .119
deviations .065 .021
from the .207 .021
mean squared .002 .003
are: .065 .002
.024 .065
.021 .119
.065 .021
S**2(length) = 1.169/19 = .06
c. S(height) = SQRT(4.568) = 2.137
S(length) = SQRT(.06) = .25
d. FREQUENCY PLOTS:
|
| MALE HEIGHTS
|
|
6 +
Frequency |
5 +
|
4 + x
|
3 + x x x x
|
2 +
|
1 + x x x x
|
-----+----+----+----+----+----+----+----+----+----+-->
65 66 67 68 69 70 71 72 73 74
Inches
|
|
| LENGTH OF INDEX FINGER
|
6 +
Frequency |
5 + x
|
4 + x
|
3 + x
|
2 + x x
|
1 + x x x x
|
-----+----+----+----+----+----+----+----+----x----+-->
2.8 2.9 3.0 3.1 3.2 3.3 3.4 3.5 3.6 3.7
Inches
NOTE: To complete frequency plots, connect x's with straight lines.
Back to review this question Look at this question's identification Back to this chapter's Contents 1847-2 A: a. Worker B appears to be more consistent in the time he requires
to complete the job, since he has a smaller variance.
b. Worker B appears to be faster in completing the job, since he
has a smaller mean. (You could actually test this.)
Back to review this question Look at this question's identification Back to this chapter's Contents 1849-1 A: No--the estimate that he would get using the mean number per
month would most likely be accurate enough, without having to
go to the extra expense of another study. Presumably the mean
number of hours lost per month is equal to the total number
of hours lost divided by 12, so it's not difficult to
calculate the total.
Back to review this question Look at this question's identification Back to this chapter's Contents 1855-4 A: NO, because mean and standard deviation may not specify the distribu-
tions completely. Even if they do so, (as in normal distributions)
there is no relation between mean and standard deviation. Hence, if
there is a calculation mistake, it is not detectable by the given in-
formation. In fact, for the exponential distribution, the mean exactly
equals the standard deviation.
Back to review this question Look at this question's identification Back to this chapter's Contents 1862-1 A: (1) 0 Back to review this question Look at this question's identification Back to this chapter's Contents 1862-2 A: (1) 2.5 Back to review this question Look at this question's identification Back to this chapter's Contents 1864-1 A: (a) 2.0
SS = 2.0 and n - 1 = 1
S(Y)**2 = 2.0/1 = 2.0
Back to review this question Look at this question's identification Back to this chapter's Contents 1866-1 A: b. variability. Back to review this question Look at this question's identification Back to this chapter's Contents 1867-1 A: b. [SUM(X(i)-XBAR)]/[n]
SUM(X(i)-XBAR) always equals zero.
Back to review this question Look at this question's identification Back to this chapter's Contents 1874-1 A: True Back to review this question Look at this question's identification Back to this chapter's Contents 1876-1 A: 2. SUM(X - XBAR) = 0 Back to review this question Look at this question's identification Back to this chapter's Contents 1878-1 A: a. remain the same. Back to review this question Look at this question's identification Back to this chapter's Contents 1878-2 A: c. increase the standard deviation. Back to review this question Look at this question's identification Back to this chapter's Contents 1879-1 A: a. 3
The variance is equal to the standard deviation squared.
Back to review this question Look at this question's identification Back to this chapter's Contents 1879-2 A: 4. none of these
Correct answer: 10.
Back to review this question Look at this question's identification Back to this chapter's Contents 1879-3 A: a. variance = (standard deviation)**2 Back to review this question Look at this question's identification Back to this chapter's Contents 1883-1 A: e. Any SBP reduction score between 0 and 20 is within one standard
deviation of the sample mean.
10 +/- SQRT(25) is the interval from 5 to 15.
Back to review this question Look at this question's identification Back to this chapter's Contents 1884-3 A: a. A offers a more homogeneous product. Back to review this question Look at this question's identification Back to this chapter's Contents 1885-3 A: d. Standard deviation Back to review this question Look at this question's identification Back to this chapter's Contents 1886-1 A: a. 2
For the calculation of the standard deviation it does not make any
difference if the present ages are 1,2,3,4,5,6, and 7 years or 15,
16,17,18,19,20, and 21, or whatsoever. So take 1,2,3,4,5,6, and 7
and calculated S = SQRT([[X-MU]**2]/[n]).
Back to review this question Look at this question's identification Back to this chapter's Contents 1887-4 A: Variance = 600/24 = 25
Standard deviation = SQRT(25) = 5
Back to review this question Look at this question's identification Back to this chapter's Contents 1888-2 A: XBAR = (1+1+7+13+13)/5 = 7
TOTAL
X 1 1 7 13 13 35
X-XBAR -6 -6 0 6 6 0
(X-XBAR)**2 36 36 0 36 36 144
S= SQRT (144/4)
= SQRT (36)
= 6
Back to review this question Look at this question's identification Back to this chapter's Contents 1889-2 A: Variance = (SUM((X - XBAR)**2))/(n - 1)
= 13.5
Standard Deviation = SQRT[SUM((X - XBAR)**2)/(n - 1)]
== 3.67
Back to review this question Look at this question's identification Back to this chapter's Contents 1891-3 A: On inspection, data set S has the larger sample standard deviation.
By calculation: S(S) = 2.58
S(T) = 1.27
Back to review this question Look at this question's identification Back to this chapter's Contents 1896-3 A: True. Back to review this question Look at this question's identification Back to this chapter's Contents 1897-2 A: False. The standard deviation is a measure of spread in a distribution. Back to review this question Look at this question's identification Back to this chapter's Contents 1899-1 A: True. Back to review this question Look at this question's identification Back to this chapter's Contents 1901-2 A: True. Back to review this question Look at this question's identification Back to this chapter's Contents 1907-3 A: c. the variance only when the mean equals zero. Back to review this question Look at this question's identification Back to this chapter's Contents 1910-1 A: b) 108.2
Sample Variance = (1/(N-1))SUM(i=1,11)([Y(i)-YBAR]**2)
= (1/(11 - 1))(1082)
= (1/10)(1082)
= 108.2
Back to review this question Look at this question's identification Back to this chapter's Contents 1911-1 A: D. 5
S**2 = SUM[(X(i) - XBAR)**2/(n-1)], where XBAR is the mean of the data
= (9+9+1+1+4+0)/5
= 24/5 = 4.8
Back to review this question Look at this question's identification Back to this chapter's Contents 1914-1 A: d. 122.5
Variance = [SUM(i=1,n)((X(i) - XBAR)**2)]/[n - 1]
= ([(47.1-40.1)**2] + [(33.1-40.1)**2] + [(26.1-40.1)**2] +
[(40.1-40.1)**2] + [(54.1-40.1)**2])/[4]
= 490/4
= 122.5
Back to review this question Look at this question's identification Back to this chapter's Contents 1916-1 A: c. 16 Back to review this question Look at this question's identification Back to this chapter's Contents 1920-1 A: d. farthest from the mean. Back to review this question Look at this question's identification Back to this chapter's Contents 1920-3 A: b. Because otherwise the variance would always be equal to 0.
Note: SUM(i=1,n)(X-XBAR) = 0
Back to review this question Look at this question's identification Back to this chapter's Contents 1950-1 A: False. The variance of a set of negative numbers is positive. Back to review this question Look at this question's identification Back to this chapter's Contents 2000-1 A: a. The mean is greater than the median, indicating the histogram
would be skewed with its tail to the right.
Back to review this question Look at this question's identification Back to this chapter's Contents 2002-1 A: 1) A picture is worth a thousand words, i.e. a visual display is a good
way to summarize a large data set.
2) Histograms give some feeling for the overall shape of the data,
something that reporting XBAR and S cannot give, i.e. skewness,
kurtosis, range.
3) Relative histograms and frequency polygons are estimates of proba-
bility functions.
Back to review this question Look at this question's identification Back to this chapter's Contents 2003-1 A: 1. FREQUENCY TABLE
Score Midpoint Frequency
37-40 38.5 2
33-36 34.5 2
29-32 30.5 1
25-28 26.5 3
21-24 22.5 3
17-20 18.5 2
13-16 14.5 3
9-12 10.5 1
5-8 6.5 4
1-4 2.5 0
2. HISTOGRAM
Frequency
|
|
|
5 +
|
|
4 + _____
| | |
| | |
3 + | | _____ _________
| | | | | | | |
| | | | | | | |
2 + | | | |___| | | _________
| | | | | | | | | | |
| | | | | | | | | | |
1 + | |___| | | | |___| | |
| | | | | | | | | | |
| | | | | | | | | | |
-+---+---+---+---+---+---+---+---+---+---+-------->
.5 8.5 16.5 24.5 32.5 40.5
4.5 12.5 20.5 28.5 36.5
Final Examination Scores
3. The real or exact limits of the lowest interval are 4.5 - 8.5.
Back to review this question Look at this question's identification Back to this chapter's Contents 2005-1 A: a. Y Cumulative Rel. Freq.
- ---------------------
0 5/100
1 30/100
2 60/100
3 85/100
4 100/100
b. |
|
30 + -----
| | |
+ ----| |----
| | | | |
20 + | | | |
Relative | | | | |
Frequency + | | | |----
| | | | | |
10 + | | | | |
| | | | | |
+---| | | | |
| | | | | |
--+---+---+---+---+--------> Y
0 1 2 3 4
c. Median = 1.5 + (20/30)(1.0) = 2.17
Mode = 2
Mean = [0(5) + 1(25) + 2(30) + 3(25) + 4(15)]/100 = 220/100 = 2.2
d. Prob(Y >= 2) = (30/100) + (25/100) + (15/100) = 70/100 = .70 = 70%
Back to review this question Look at this question's identification Back to this chapter's Contents 2006-3 A: .4 x
.3
x x
.2
.1
x x
0 x x
_____________________________________
0-1 1-2 2-3 3-4 4-5 5-6 6-7
Back to review this question Look at this question's identification Back to this chapter's Contents 2008-1 A: a) Class Freq. Rel. Freq.
1-4 4 4/25
5-8 5 5/25
9-12 6 6/25
13-16 6 6/25
17-20 4 4/25
Totals 25 25/25
b) |
|
10/25 +
|
Relative |
Frequency |
| -----------------
5/25 + --------| | |
|--------| | | |--------
|| | | | | |
|| | | | | |
|| | | | | |
--+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+----->
1 4 5 8 9 12 13 16 17 20
X Values
c) 1. Sometimes it is easier to get the mean and variance
(group method -- by hand).
2. Visual check on calculation of mean and variance.
3. Easier for lay person (specialist also) to see what values
are likely and what values are unlikely in a population.
Back to review this question Look at this question's identification Back to this chapter's Contents 2009-3 A: The primary problem is that the vertical axis does not have equally
spaced intervals. For example, a constant distance on the axis re-
presents jumps of 5, 25, and 70 units.
Back to review this question Look at this question's identification Back to this chapter's Contents 2011-1 A: |
| FEMALES
Frequency |
| -----
| ----| |----
| ----| | | |----
| ----| | | | | |----
| ----| | | | | | | |----
| | | | | | | | | | |
| | | | | | | | | | |
-----------------------+--------------------------->
XBAR
|
| MALES
Frequency |
|
| -----
| | |
| | |
| | |
| ----| |----
| | | | |
| | | | |
| ----| | | |----
| | | | | | |
| | | | | | |
| | | | | | |
| | | | | | |
------------------------------------+-------------->
YBAR
Histogram for males should be taller and thinner and shifted to the
right of that for females. The areas of the two histograms should be
the same.
Back to review this question Look at this question's identification Back to this chapter's Contents 2012-1 A: 1. Too few intervals to give meaningful results.
2. Open ended interval
3. Intervals of unequal length.
Back to review this question Look at this question's identification Back to this chapter's Contents 2014-1 A: Definition: A graph indicating frequencies or relative frequencies of
values (or value classes) of a random variable.
Example: Suppose that we interviewed 10 sultans to discover how
many wives each sultan enjoyed. Suppose that the results
were:
1 sultan had no wives
4 sultans had two wives
3 sultans had three wives, and
2 sultans had four wives.
Then the appropriate histogram would be:
|
Number of |
Sultans |
|
4 + -------
| | |
3 + | |------
| | | |
2 + | | |------
| | | | |
1 +------ | | | |
| | | | | |
---+-----+-----+-----+-----+--------->
0 1 2 3 4
Number of Wives
Back to review this question Look at this question's identification Back to this chapter's Contents 2015-1 A: a. 19/30
30 students scored more than 33(5+17+8 = 30) of which
19(4+10+5) were in the age range 104-113 months.
Back to review this question Look at this question's identification Back to this chapter's Contents 2016-1 A: a. both will have the same values on the horizontal axis. Back to review this question Look at this question's identification Back to this chapter's Contents 2017-1 A: c. 82 Back to review this question Look at this question's identification Back to this chapter's Contents 2019-1 A: b. a relative frequency distribution. Back to review this question Look at this question's identification Back to this chapter's Contents 2019-3 A: b. 10; (190-40)/15 = 10 Back to review this question Look at this question's identification Back to this chapter's Contents 2020-1 A: a. Negatively skewed (skewed to the left),
because they score higher in general.
Back to review this question Look at this question's identification Back to this chapter's Contents 2020-2 A: a) The value of the measurement and the number of individuals with
that value.
Back to review this question Look at this question's identification Back to this chapter's Contents 2030-1 A: True. Back to review this question Look at this question's identification Back to this chapter's Contents 2033-2 A: d. has earned a score equal to or better than 40% of the
persons in his class.
Back to review this question Look at this question's identification Back to this chapter's Contents 2033-3 A: c. 70 Back to review this question Look at this question's identification Back to this chapter's Contents 2034-1 A: (d) Back to review this question Look at this question's identification Back to this chapter's Contents 2036-1 A: 1) c. 38 frequencies are spread out throughout the interval.
2) e. 97.5% of the cases fall below a score of 74.5.
3) e. 47.5
Back to review this question Look at this question's identification Back to this chapter's Contents 2037-1 A: c. the score below which k% of the cases fall. Back to review this question Look at this question's identification Back to this chapter's Contents 2038-1 A: b. 78th percentile. Back to review this question Look at this question's identification Back to this chapter's Contents 2038-2 A: d. Individuals in reference group B generally scored lower
on the test than those in reference group A.
Back to review this question Look at this question's identification Back to this chapter's Contents 2042-2 A: 2. 40 Back to review this question Look at this question's identification Back to this chapter's Contents 2043-2 A: b. between Q(1) and Q(3) Back to review this question Look at this question's identification Back to this chapter's Contents 2044-1 A: c. 14% of those taking the test got scores ranging between Tom's
and Bill's.
Back to review this question Look at this question's identification Back to this chapter's Contents 2045-1 A: (i) b. 12
(ii) a. skewed to the left
Back to review this question Look at this question's identification Back to this chapter's Contents 2050-4 A: It tells you that 60% of the sample has values less than or equal
to 1468.3.
Back to review this question Look at this question's identification Back to this chapter's Contents 2053-3 A: True. Back to review this question Look at this question's identification Back to this chapter's Contents 2053-4 A: False. If the percentile rank for the value 60 is 40, this means
that 60% of the observations will fall above 60.
Back to review this question Look at this question's identification Back to this chapter's Contents 2057-4 A: a) Investigation of characteristics of each observation. Back to review this question Look at this question's identification Back to this chapter's Contents 2065-1 A: 1. negative, because the mean is below the median. The two low
values, (22, 23), are primarily responsible.
Back to review this question Look at this question's identification Back to this chapter's Contents 2066-1 A: c. Skewed right (positively skewed) Back to review this question Look at this question's identification Back to this chapter's Contents 2119-2 A: d) Will have the exact same shape regardless of what units are used on
the axes.
Back to review this question Look at this question's identification Back to this chapter's Contents 2890-3 A: b. a subset of a population. Back to review this question Look at this question's identification Back to this chapter's Contents Return to the list of chapters Return to Brian Schott @ GSU Identification:21-1 Based upon item submitted by R. Shavelson - UCLA
Multiple Choice
PROBABILITY
MEAN STANDARDDEVIATIO DESCRSTAT/P
PARAMETRIC STATISTICS
T= 5 Comprehension
D= 2 General
***Multiple Parts***
Back to review this question Back to this chapter's Contents 40-2 Based upon item submitted by J. Warren - UNH
Definition
BASICTERMS/PROB
I650I PROBABILITY
T= 2 Comprehension
D= 1 General
Back to review this question Back to this chapter's Contents 41-1 Based upon item submitted by J. Warren - UNH
Definition
BASICTERMS/PROB
I650I PROBABILITY
T= 2 Comprehension
D= 1 General
Back to review this question Back to this chapter's Contents 46-4 Item is still being reviewed
Short Answer
PROBMODELS TESTING
PROBABILITY CONCEPT STATISTICS
T= 2 Comprehension
D= 2 General Natural Sciences
Back to review this question Back to this chapter's Contents 50-1 Item is still being reviewed
Multiple Choice
PROBDISTRIBUTION MEAN
PROBABILITY DESCRSTAT/P PARAMETRIC
STATISTICS
T= 2 Comprehension
D= 3 General
Back to review this question Back to this chapter's Contents 715-1 Item is still being reviewed
Multiple Choice
FREQDIAGRAM STATISTICS
DESCRSTAT/P PARAMETRIC
T= 2 Computation
D= 2 General
Back to review this question Back to this chapter's Contents 717-1 Item is still being reviewed
Multiple Choice
BASICTERMS/STATS VARIABILITY/P
STATISTICS DESCRSTAT/P PARAMETRIC
T= 2 Comprehension
D= 2 General Education
Back to review this question Back to this chapter's Contents 723-1 Item is still being reviewed
Multiple Choice
BASICTERMS/STATS HISTOGRAM FREQTABLE
STATISTICS DESCRSTAT/P PARAMETRIC
T= 2 Comprehension
D= 2 General
Back to review this question Back to this chapter's Contents 1014-1 Based upon item submitted by J. Inglis
Multiple Choice
MEAN MEDIAN
DESCRSTAT/P PARAMETRIC STATISTICS
DESCRSTAT/NP NONPARAMETRIC
T= 2 Comprehension
D= 1 General
Back to review this question Back to this chapter's Contents 1016-1 Based upon item submitted by F. J. Samaniego - UC Davis
Multiple Choice
MEDIAN
MEAN DESCRSTAT/NP NONPARAMETRIC
STATISTICS DESCRSTAT/P PARAMETRIC
T= 2 Computation
D= 1 General
Back to review this question Back to this chapter's Contents 1021-1 Based upon item submitted by J. Inglis
Multiple Choice
MEDIAN
DESCRSTAT/NP NONPARAMETRIC STATISTICS
T= 2 Comprehension
D= 2 General
Back to review this question Back to this chapter's Contents 1403-1 Based upon item submitted by R. F. Tate - U. of Oregon
Multiple Choice
VARIANCE MEAN UNBIASEDNESS
DESCRSTAT/P PARAMETRIC STATISTICS
ESTIMATION CONCEPT
T= 5 Computation
D= 2 General
***Multiple Parts***
Back to review this question Back to this chapter's Contents 1562-1 Item is still being reviewed
Multiple Choice
POPULATION MEAN VARIANCE
CONCEPT STATISTICS DESCRSTAT/P
PARAMETRIC
T= 2 Comprehension
D= 2 General
Back to review this question Back to this chapter's Contents 1719-1 Item is still being reviewed
True/False
STANDARDDEVIATIO TCHEBYSHEFFSTHM
DESCRSTAT/P PARAMETRIC STATISTICS
CONCEPT
T= 2 Comprehension
D= 4 General
Back to review this question Back to this chapter's Contents 1743-1 Item is still being reviewed
Multiple Choice
CENTRALTENDENCY MEAN
DESCRSTAT/P PARAMETRIC STATISTICS
T= 2 Computation
D= 1 General
Back to review this question Back to this chapter's Contents 1743-2 Based upon item submitted by B. Weir - N. C. State & Massey Univ.
Multiple Choice
CENTRALTENDENCY SKEWNESS/P
DESCRSTAT/P PARAMETRIC STATISTICS
T= 2 Comprehension
D= 2 General
Back to review this question Back to this chapter's Contents 1745-1 Based upon item submitted by R. Pruzek - SUNY at Albany
Multiple Choice
MEAN CENTRALTENDENCY
MODE MEDIAN DESCRSTAT/P
PARAMETRIC STATISTICS DESCRSTAT/NP
NONPARAMETRIC
T= 2 Comprehension
D= 2 General
Back to review this question Back to this chapter's Contents 1745-3 Based upon item submitted by R. Pruzek - SUNY at Albany
Multiple Choice
CENTRALTENDENCY
SKEWNESS/P DESCRSTAT/P PARAMETRIC
STATISTICS
T= 2 Comprehension
D= 3 General
Back to review this question Back to this chapter's Contents 1746-1 Based upon item submitted by W. J. Hall - Univ. of Rochester
Multiple Choice
CENTRALTENDENCY MEAN
MEDIAN MODE DESCRSTAT/P
PARAMETRIC STATISTICS DESCRSTAT/NP
NONPARAMETRIC
T= 2 Comprehension
D= 2 General
Back to review this question Back to this chapter's Contents 1746-3 Based upon item submitted by J. Inglis
Multiple Choice
CENTRALTENDENCY STANDARDDEVIATIO
DESCRSTAT/P PARAMETRIC STATISTICS
T= 2 Comprehension
D= 2 General
Back to review this question Back to this chapter's Contents 1797-2 Item is still being reviewed
Multiple Choice
MEAN
DESCRSTAT/P PARAMETRIC STATISTICS
T= 2 Computation Comprehension
D= 2 General
Back to review this question Back to this chapter's Contents 1799-2 Item is still being reviewed
Multiple Choice
VARIABILITY/P MEAN
DESCRSTAT/P PARAMETRIC STATISTICS
T= 2 Comprehension
D= 3 General
Back to review this question Back to this chapter's Contents 1802-3 Based upon item submitted by W. J. Hall - Univ. of Rochester
Multiple Choice
MEAN
CENTRALTENDENCY I650I DESCRSTAT/P
PARAMETRIC STATISTICS
T= 2 Comprehension
D= 3 General
Back to review this question Back to this chapter's Contents 1803-1 Based upon item submitted by W. J. Hall - Univ. of Rochester
Multiple Choice
MEAN
DESCRSTAT/P PARAMETRIC STATISTICS
T= 2 Comprehension
D= 1 General
Back to review this question Back to this chapter's Contents 1805-2 Item is still being reviewed
Multiple Choice
MEAN
DESCRSTAT/P PARAMETRIC STATISTICS
T= 5 Computation
D= 4 General
Back to review this question Back to this chapter's Contents 1810-1 Item is still being reviewed
Multiple Choice
MEAN
SIMPLEDATASET DESCRSTAT/P PARAMETRIC
STATISTICS MISCELLANEOUS
T= 2 Computation
D= 1 General
Back to review this question Back to this chapter's Contents 1811-1 Item is still being reviewed
Multiple Choice
MEAN
DESCRSTAT/P PARAMETRIC STATISTICS
T= 2 Computation
D= 1 Biological Sciences
Back to review this question Back to this chapter's Contents 1820-3 Item is still being reviewed
Multiple Choice
MEAN VARIANCE
DESCRSTAT/P PARAMETRIC STATISTICS
T= 2 Comprehension
D= 2 General Education
Back to review this question Back to this chapter's Contents 1821-1 Item is still being reviewed
Multiple Choice
MEAN
DESCRSTAT/P PARAMETRIC STATISTICS
T= 2 Comprehension
D= 2 General Education
Back to review this question Back to this chapter's Contents 1838-1 Based upon item submitted by K. Gorowara - Wright State U.
Numerical Answer
HISTOGRAM MEAN VARIANCE
FREQTABLE VARIABILITY/P PERCENTILE
RANGE DESCRSTAT/P PARAMETRIC
STATISTICS VARIABILITY/NP DESCRSTAT/NP
NONPARAMETRIC
T=15 Computation
D= 2 General Education
***Calculator Necessary***
***Graph or Chart Necessary***
***Multiple Parts***
Back to review this question Back to this chapter's Contents 1839-2 Item is still being reviewed
Numerical Answer
MEAN VARIANCE STANDARDDEVIATIO
I650I DESCRSTAT/P PARAMETRIC
STATISTICS
T=10 Computation Comprehension
D= 4 General Business
***Calculator Necessary***
***Multiple Parts***
Back to review this question Back to this chapter's Contents 1840-1 Item is still being reviewed
Numerical Answer
MEANFREQDIAGRAM VARI STANDARDDEVIATIO
I650I DESCRSTAT/P PARAMETRIC
STATISTICS I650/TEMPORARY MISCELLANEOUS
T=10 Computation
D= 3 General
***Calculator Necessary***
***Multiple Parts***
Back to review this question Back to this chapter's Contents 1847-2 Item is still being reviewed
Short Answer
VARIANCE MEAN
DESCRSTAT/P PARAMETRIC STATISTICS
T= 5 Comprehension
D= 2 General Business
***Multiple Parts***
Back to review this question Back to this chapter's Contents 1849-1 Item is still being reviewed
Short Answer
MEAN
I650I DESCRSTAT/P PARAMETRIC
STATISTICS
T= 2 Comprehension
D= 2 General Business
Back to review this question Back to this chapter's Contents 1855-4 Based upon item submitted by R. Pruzek - SUNY at Albany
True/False
MEAN STANDARDDEVIATIO
DESCRSTAT/P PARAMETRIC STATISTICS
T= 2 Comprehension
D= 2 General
Back to review this question Back to this chapter's Contents 1862-1 Based upon item submitted by B. Weir - N. C. State & Massey Univ.
Multiple Choice
VARIANCE VARIABILITY/P
DESCRSTAT/P PARAMETRIC STATISTICS
T= 2 Computation
D= 1 General
Back to review this question Back to this chapter's Contents 1862-2 Item is still being reviewed
Multiple Choice
VARIANCE VARIABILITY/P
DESCRSTAT/P PARAMETRIC STATISTICS
T= 2 Computation
D= 1 General
Back to review this question Back to this chapter's Contents 1864-1 Based upon item submitted by H. B. Christensen - BYU
Multiple Choice
VARIABILITY/P VARIANCE
DESCRSTAT/P PARAMETRIC STATISTICS
T= 2 Computation
D= 2 General
Back to review this question Back to this chapter's Contents 1866-1 Item is still being reviewed
Multiple Choice
PERCENTILE VARIABILITY/P
DESCRSTAT/P PARAMETRIC STATISTICS
T= 2 Comprehension
D= 4 General
Back to review this question Back to this chapter's Contents 1867-1 Item is still being reviewed
Multiple Choice
VARIABILITY/P
DESCRSTAT/P PARAMETRIC STATISTICS
T= 2 Comprehension
D= 3 General
Back to review this question Back to this chapter's Contents 1874-1 Item is still being reviewed
True/False
STANDARDDEVIATIO VARIABILITY/P
DESCRSTAT/P PARAMETRIC STATISTICS
T= 2 Comprehension
D= 1 General
Back to review this question Back to this chapter's Contents 1876-1 Based upon item submitted by B. Weir - N. C. State & Massey Univ.
Multiple Choice
VARIANCE STANDARDDEVIATIO
DESCRSTAT/P PARAMETRIC STATISTICS
T= 2 Computation Comprehension
D= 2 General
Back to review this question Back to this chapter's Contents 1878-1 Item is still being reviewed
Multiple Choice
VARIANCE STANDARDDEVIATIO
SPECIALCASE/PROB DESCRSTAT/P PARAMETRIC
STATISTICS MISCELLANEOUS
T= 2 Computation Comprehension
D= 4 General
Back to review this question Back to this chapter's Contents 1878-2 Based upon item submitted by W. J. Hall - Univ. of Rochester
Multiple Choice
STANDARDDEVIATIO
PROBDISTRIBUTION DESCRSTAT/P PARAMETRIC
STATISTICS PROBABILITY
T= 2 Comprehension
D= 4 General
Back to review this question Back to this chapter's Contents 1879-1 Based upon item submitted by W. J. Hall - Univ. of Rochester
Multiple Choice
VARIANCE STANDARDDEVIATIO
DESCRSTAT/P PARAMETRIC STATISTICS
T= 2 Computation Comprehension
D= 1 General
Back to review this question Back to this chapter's Contents 1879-2 Item is still being reviewed
Multiple Choice
STANDARDDEVIATIO
DESCRSTAT/P PARAMETRIC STATISTICS
T= 2 Comprehension
D= 3 General
Back to review this question Back to this chapter's Contents 1879-3 Item is still being reviewed
Multiple Choice
VARIANCE STANDARDDEVIATIO
DESCRSTAT/P PARAMETRIC STATISTICS
T= 2 Comprehension
D= 1 General
Back to review this question Back to this chapter's Contents 1883-1 Item is still being reviewed
Multiple Choice
STANDARDDEVIATIO
DESCRSTAT/P PARAMETRIC STATISTICS
T= 5 Comprehension
D= 3 Biological Sciences
Back to review this question Back to this chapter's Contents 1884-3 Item is still being reviewed
Multiple Choice
STANDARDDEVIATIO
DESCRSTAT/P PARAMETRIC STATISTICS
T= 2 Comprehension
D= 2 General
Back to review this question Back to this chapter's Contents 1885-3 Item is still being reviewed
Multiple Choice
STANDARDDEVIATIO
MEDIAN MODE RANGE
DESCRSTAT/P PARAMETRIC STATISTICS
DESCRSTAT/NP NONPARAMETRIC VARIABILITY/NP
T= 2 Comprehension
D= 2 General Education
Back to review this question Back to this chapter's Contents 1886-1 Item is still being reviewed
Multiple Choice
STANDARDDEVIATIO
DESCRSTAT/P PARAMETRIC STATISTICS
T= 2 Computation
D= 2 General
Back to review this question Back to this chapter's Contents 1887-4 Based upon item submitted by D. V. Sisson - Utah State
Numerical Answer
VARIANCE COEFFVARIATION STANDARDDEVIATIO
DESCRSTAT/P PARAMETRIC STATISTICS
T= 5 Computation Application
D= 3 General
***Calculator Necessary***
***Multiple Parts***
Back to review this question Back to this chapter's Contents 1888-2 Based upon item submitted by R. Shavelson - UCLA
Numerical Answer
STANDARDDEVIATIO
DESCRSTAT/P PARAMETRIC STATISTICS
T= 5 Computation
D= 1 General
Back to review this question Back to this chapter's Contents 1889-2 Based upon item submitted by D. F. Butcher - W. Virginia U.
Numerical Answer
VARIANCE STANDARDDEVIATIO
SIMPLEDATASET DESCRSTAT/P PARAMETRIC
STATISTICS MISCELLANEOUS
T= 5 Computation
D= 2 General
***Calculator Necessary***
Back to review this question Back to this chapter's Contents 1891-3 Based upon item submitted by R. Shavelson - UCLA
Short Answer
STANDARDDEVIATIO
VARIABILITY/P SIMPLEDATASET I650I
DESCRSTAT/P PARAMETRIC STATISTICS
T= 5 Computation Comprehension
D= 3 General
Back to review this question Back to this chapter's Contents 1896-3 Based upon item submitted by R. Pruzek - SUNY at Albany
True/False
STANDARDDEVIATIO
I650I DESCRSTAT/P PARAMETRIC
STATISTICS
T= 2 Comprehension
D= 2 General
Back to review this question Back to this chapter's Contents 1897-2 Based upon item submitted by R. Pruzek - SUNY at Albany
True/False
STANDARDDEVIATIO
POPULATIONMODELS DESCRSTAT/P PARAMETRIC
STATISTICS
T= 2 Comprehension
D= 4 General
Back to review this question Back to this chapter's Contents 1899-1 Based upon item submitted by W. J. Hall - Univ. of Rochester
True/False
STANDARDDEVIATIO
DESCRSTAT/P PARAMETRIC STATISTICS
T= 2 Comprehension
D= 2 General
Back to review this question Back to this chapter's Contents 1901-2 Item is still being reviewed
True/False
STANDARDDEVIATIO
DESCRSTAT/P PARAMETRIC STATISTICS
T= 2 Comprehension
D= 3 General Education
Back to review this question Back to this chapter's Contents 1907-3 Based upon item submitted by W. J. Hall - Univ. of Rochester
Multiple Choice
VARIANCE
MODEL STANDARDDEVIATIO DESCRSTAT/P
PARAMETRIC STATISTICS MISCELLANEOUS
T= 2 Computation
D= 1 General
Back to review this question Back to this chapter's Contents 1910-1 Based upon item submitted by R. F. Tate - U. of Oregon
Multiple Choice
VARIANCE SAMPLE
DESCRSTAT/P PARAMETRIC STATISTICS
SAMPLING
T= 5 Comprehension Computation
D= 3 General
Back to review this question Back to this chapter's Contents 1911-1 Based upon item submitted by F. J. Samaniego - UC Davis
Multiple Choice
VARIANCE
DESCRSTAT/P PARAMETRIC STATISTICS
T= 5 Computation
D= 1 General
Back to review this question Back to this chapter's Contents 1914-1 Item is still being reviewed
Multiple Choice
VARIANCE
DESCRSTAT/P PARAMETRIC STATISTICS
T= 5 Computation
D= 2 General
***Calculator Necessary***
Back to review this question Back to this chapter's Contents 1916-1 Item is still being reviewed
Multiple Choice
VARIANCE
DESCRSTAT/P PARAMETRIC STATISTICS
T= 2 Comprehension
D= 3 General
Back to review this question Back to this chapter's Contents 1920-1 Item is still being reviewed
Multiple Choice
VARIANCE
DESCRSTAT/P PARAMETRIC STATISTICS
T= 2 Comprehension
D= 2 General
Back to review this question Back to this chapter's Contents 1920-3 Item is still being reviewed
Multiple Choice
VARIANCE
DESCRSTAT/P PARAMETRIC STATISTICS
T= 2 Comprehension
D= 1 General
Back to review this question Back to this chapter's Contents 1950-1 Based upon item submitted by R. Pruzek - SUNY at Albany
True/False
VARIANCE
DESCRSTAT/P PARAMETRIC STATISTICS
T= 2 Comprehension
D= 2 General
Back to review this question Back to this chapter's Contents 2000-1 Based upon item submitted by A. Matthews - U. Mass.
Multiple Choice
HISTOGRAM SKEWNESS/P
DESCRSTAT/P PARAMETRIC STATISTICS
T= 2 Comprehension
D= 3 General Biological Sciences
***Graph or Chart Necessary***
Back to review this question Back to this chapter's Contents 2002-1 Based upon item submitted by D. F. Butcher - W. Virginia U.
Essay
HISTOGRAM FREQDIAGRAM
DESCRSTAT/P PARAMETRIC STATISTICS
T= 5 Comprehension
D= 3 General
Back to review this question Back to this chapter's Contents 2003-1 Item is still being reviewed
Numerical Answer
FREQTABLE HISTOGRAM FREQDIAGRAM
CLASSINTERVAL SIMPLEDATASET I650I
DESCRSTAT/P PARAMETRIC STATISTICS
T=10 Computation
D= 4 General
***Multiple Parts***
Back to review this question Back to this chapter's Contents 2005-1 Based upon item submitted by W. Federer - Cornell
Numerical Answer
HISTOGRAM FREQTABLE
DESCRSTAT/P PARAMETRIC STATISTICS
T=10 Computation
D= 3 General
***Multiple Parts***
Back to review this question Back to this chapter's Contents 2006-3 Based upon item submitted by J. Warren - UNH
Numerical Answer
HISTOGRAM
NORMAL I650I DESCRSTAT/P
PARAMETRIC STATISTICS PROBDISTRIBUTION
PROBABILITY
T= 5 Comprehension
D= 2 General
Back to review this question Back to this chapter's Contents 2008-1 Based upon item submitted by R. E. Lund - Montana State U.
Short Answer
HISTOGRAM FREQDIAGRAM FREQTABLE
DESCRSTAT/P PARAMETRIC STATISTICS
T=10 Computation Comprehension
D= 3 General
***Multiple Parts***
Back to review this question Back to this chapter's Contents 2009-3 Based upon item submitted by A. Bugbee - UNH
Short Answer
HISTOGRAM GRAPH/PICTOGRAPH
COMMONPITFALLS BARCHART/P DESCRSTAT/P
PARAMETRIC STATISTICS MISCELLANEOUS
T= 2 Comprehension
D= 2 General
Back to review this question Back to this chapter's Contents 2011-1 Item is still being reviewed
Short Answer
HISTOGRAM
DESCRSTAT/P PARAMETRIC STATISTICS
T=10 Comprehension
D= 3 General
Back to review this question Back to this chapter's Contents 2012-1 Item is still being reviewed
Short Answer
HISTOGRAM
DESCRSTAT/P PARAMETRIC STATISTICS
T= 5 Comprehension
D= 3 General
Back to review this question Back to this chapter's Contents 2014-1 Based upon item submitted by J. Warren - UNH
Definition
HISTOGRAM
BASICTERMS/STATS I650I DESCRSTAT/P
PARAMETRIC STATISTICS
T= 5 Comprehension
D= 2 General
Back to review this question Back to this chapter's Contents 2015-1 Based upon item submitted by B. Weir - N. C. State & Massey Univ.
Multiple Choice
FREQDIAGRAM
DESCRSTAT/P PARAMETRIC STATISTICS
T= 2 Application
D= 2 Education
Back to review this question Back to this chapter's Contents 2016-1 Based upon item submitted by A. Bugbee - UNH
Multiple Choice
FREQDIAGRAM
DESCRSTAT/P PARAMETRIC STATISTICS
T= 2 Comprehension
D= 2 General
Back to review this question Back to this chapter's Contents 2017-1 Based upon item submitted by R. Shavelson - UCLA
Multiple Choice
PERCENTILE FREQDIAGRAM
DESCRSTAT/P PARAMETRIC STATISTICS
T= 2 Comprehension
D= 2 General
Back to review this question Back to this chapter's Contents 2019-1 Based upon item submitted by J. Inglis
Multiple Choice
FREQDIAGRAM
HISTOGRAM CUMULATIVEFN DESCRSTAT/P
PARAMETRIC STATISTICS PROBDISTRIBUTION
PROBABILITY
T= 2 Comprehension
D= 2 General
Back to review this question Back to this chapter's Contents 2019-3 Item is still being reviewed
Multiple Choice
FREQDIAGRAM FREQTABLE
DESCRSTAT/P PARAMETRIC STATISTICS
T= 2 Computation
D= 2 General Education
Back to review this question Back to this chapter's Contents 2020-1 Item is still being reviewed
Multiple Choice
SKEWNESS/P FREQDIAGRAM TESTCONSTRUCTION
DESCRSTAT/P PARAMETRIC STATISTICS
TESTTHEORY
T= 2 Comprehension
D= 3 General Education
Back to review this question Back to this chapter's Contents 2020-2 Item is still being reviewed
Multiple Choice
FREQDIAGRAM
DESCRSTAT/P PARAMETRIC STATISTICS
T= 5 Comprehension
D= 3 General
Back to review this question Back to this chapter's Contents 2030-1 Based upon item submitted by W. J. Hall - Univ. of Rochester
True/False
FREQDIAGRAM
DESCRSTAT/P PARAMETRIC STATISTICS
T= 2 Comprehension
D= 3 General
Back to review this question Back to this chapter's Contents 2033-2 Based upon item submitted by R. Shavelson - UCLA
Multiple Choice
PERCENTILE
DESCRSTAT/P PARAMETRIC STATISTICS
T= 2 Comprehension
D= 1 Education General
Back to review this question Back to this chapter's Contents 2033-3 Item is still being reviewed
Multiple Choice
PERCENTILE
DESCRSTAT/P PARAMETRIC STATISTICS
T= 2 Comprehension Computation
D= 2 Education General
Back to review this question Back to this chapter's Contents 2034-1 Based upon item submitted by R. Shavelson - UCLA
Multiple Choice
PERCENTILE
I650I DESCRSTAT/P PARAMETRIC
STATISTICS
T= 5 Computation
D= 3 General Education
Back to review this question Back to this chapter's Contents 2036-1 Item is still being reviewed
Multiple Choice
FREQTABLE PERCENTILE
DESCRSTAT/P PARAMETRIC STATISTICS
T= 5 Comprehension Computation
D= 3 General
***Multiple Parts***
Back to review this question Back to this chapter's Contents 2037-1 Item is still being reviewed
Multiple Choice
PERCENTILE
DESCRSTAT/P PARAMETRIC STATISTICS
T= 2 Comprehension
D= 1 General
Back to review this question Back to this chapter's Contents 2038-1 Item is still being reviewed
Multiple Choice
PERCENTILE
DESCRSTAT/P PARAMETRIC STATISTICS
T= 2 Comprehension
D= 1 General
Back to review this question Back to this chapter's Contents 2038-2 Based upon item submitted by W. J. Hall - Univ. of Rochester
Multiple Choice
PERCENTILE
DESCRSTAT/P PARAMETRIC STATISTICS
T= 2 Comprehension
D= 2 General
Back to review this question Back to this chapter's Contents 2042-2 Based upon item submitted by J. Inglis
Multiple Choice
PERCENTILE
DESCRSTAT/P PARAMETRIC STATISTICS
T= 2 Comprehension
D= 3 General
Back to review this question Back to this chapter's Contents 2043-2 Item is still being reviewed
Multiple Choice
PERCENTILE
DESCRSTAT/P PARAMETRIC STATISTICS
T= 2 Comprehension
D= 2 General
Back to review this question Back to this chapter's Contents 2044-1 Item is still being reviewed
Multiple Choice
PERCENTILE
DESCRSTAT/P PARAMETRIC STATISTICS
T= 2 Comprehension
D= 2 General Education
Back to review this question Back to this chapter's Contents 2045-1 Item is still being reviewed
Multiple Choice
PERCENTILE GRAPH/PICTOGRAPH SKEWNESS/P
MEDIAN FREQDIAGRAM DESCRSTAT/P
PARAMETRIC STATISTICS DESCRSTAT/NP
NONPARAMETRIC
T= 5 Computation Comprehension
D= 3 General Education
***Graph or Chart Necessary***
***Multiple Parts***
Back to review this question Back to this chapter's Contents 2050-4 Item is still being reviewed
Short Answer
PERCENTILE
DESCRSTAT/P PARAMETRIC STATISTICS
T= 5 Comprehension
D= 2 General
Back to review this question Back to this chapter's Contents 2053-3 Based upon item submitted by W. J. Hall - Univ. of Rochester
True/False
PERCENTILE
DESCRSTAT/P PARAMETRIC STATISTICS
T= 2 Comprehension
D= 1 General
Back to review this question Back to this chapter's Contents 2053-4 Based upon item submitted by W. J. Hall - Univ. of Rochester
True/False
PERCENTILE
DESCRSTAT/P PARAMETRIC STATISTICS
T= 2 Comprehension
D= 2 General
Back to review this question Back to this chapter's Contents 2057-4 Item is still being reviewed
Multiple Choice
FREQTABLE
DESCRSTAT/P PARAMETRIC STATISTICS
T= 2 Comprehension
D= 1 General
Back to review this question Back to this chapter's Contents 2065-1 Item is still being reviewed
Multiple Choice
SKEWNESS/P
DESCRSTAT/P PARAMETRIC STATISTICS
T= 2 Computation Comprehension
D= 1 General
Back to review this question Back to this chapter's Contents 2066-1 Item is still being reviewed
Multiple Choice
SKEWNESS/P
PERCENTILE DESCRSTAT/P PARAMETRIC
STATISTICS
T= 5 Comprehension
D= 5 General Education
Back to review this question Back to this chapter's Contents 2119-2 Item is still being reviewed
Multiple Choice
TYPICALPIC/GRAPH GRAPH/PICTOGRAPH
MISCELLANEOUS DESCRSTAT/P PARAMETRIC
STATISTICS
T= 2 Comprehension
D= 2 General
Back to review this question Back to this chapter's Contents 2890-3 Item is still being reviewed
Multiple Choice
SAMPLE
SAMPLING STATISTICS
T= 2 Comprehension
D= 1 General
Back to review this question Back to this chapter's Contents Return to the list of chapters Return to Brian Schott @ GSU |
If the standard deviation of a set of test scores is equal to 25 the variance is equal to
zusammenhängende Posts
Urheberrechte © © 2024 de.apacode Inc.
