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Earn +20 ptsQ: What does it mean if the standard deviation is less than the mean?
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Can the mean be less than the standard deviation?
In general, a mean can be greater or less than the standard deviation.
Is the standard deviation best thought of as the distance from the mean?
No. A small standard deviation with a large mean will yield points further from the mean than a large standard deviation of a small mean. Standard deviation is best thought of as spread or dispersion.
Is standard deviation always smaller than mean?
No.
Is the mean for a set of data always greater than the standard deviation?
Yes; the standard deviation is the square root of the mean, so it will always be larger.
Suppose z has a standard normal distribution with a mean of 0 and a standard deviation of 1. the probability that z is less than 1.15 is?
probability is 43.3%
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