Which of the following statements are true of the standard normal distribution?

Which of the following statements is true about the standard normal distribution (mean = 0, standard deviation = 1)?

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Which statement is true for the standard normal distribution?
Which of the following statements is are true regarding the normal distribution curve *?

a.The interval from value 1 to 3 has a higher probability than that of the interval from value -3 to -1.

b.The interval from value 1 to 3 has the same probability than that of the interval from value -3 to -1.

c.The interval from value 1 to 3 has the same probability than that of the interval from value 4 to 6.

d.The interval from value 1 to 3 has a higher probability than that of the interval from values -3 to 0.

Asked by ninokk27

Which of the following statements is true?

a.)
In a standard normal distribution, the mean is equal to 0 and the standard deviation is equal to 2.
b.)
In a standard normal distribution, the mean is equal to 1 and the standard deviation is equal to 2.
c.)
In a standard normal distribution, the mean is equal to 1 and the standard deviation is equal to 1.
d.)
In a standard normal distribution, the mean is equal to 0 and the standard deviation is equal to 1.

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Answered by emmariesesante

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Which of the following statements are TRUE about the Normal Distribution? Check all that apply: The graph of the Normal Distribution is bell-shaped, with tapering tails that never actually touch the horizontal axis_ The mean, median and mode are all equal and occur at the center of the distribution. About 95% of all data values lie within standard deviation of the mean: Data values are spread evenly around the mean Data values farther from the mean are less common than

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Video Transcript

Okay, here's my normal curve and in the center is the mean median and mode. So the first statement is correct. The second one though is not correct because 68 of the Data samples or population lie within one SD of the mean. Not 95 Here, here is the mean mean plus one SD Mean -1 s. D. The 95 Applies to two SD from the mean. So we'll be here to here. So this area in red Be 95%. So Item two is wrong now. Data values are spread around the mean evenly is correct because what you have is over here on the left, 50% on the right 50%. So half and half. So it's an even spread around the center point and data values further away are less common. That is true. This number here for example, much less common than the number here. So they're all correct. Then apart from item two.

Which statement is true for the standard normal distribution?

Answer and Explanation: The correct option is C) The mean divides the distribution into two equal areas. Option C is correct because the normal distribution is a symmetric distribution. Its median is equal to the mean and hence, it divides the distribution into two equal parts.

Which of the following statements is are true regarding the normal distribution curve *?

In the given question, we are asked to find which of the following is correct regarding the normal distribution curve. In a normal distribution, the values of mean, median and mode are equal. So, the point (ii) is correct in the context of a normal distribution curve.