METHODS OF DATA ANALYSIS
MEASURES OF DISPERSION
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Question
[CLICK ON ANY CHOICE TO KNOW THE RIGHT ANSWER]
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If the standard deviation of a data set is 4, what is the variance?
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2
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16
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4
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None of the above
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Explanation:
Detailed explanation-1: -95% of the population is within 2 standard deviations of the mean. 99% of the population is within 2 1/2 standard deviations of the mean. 99.7% of the population is within 3 standard deviations of the mean. 99.9% of the population is within 4 standard deviations of the mean.
Detailed explanation-2: -It is possible to have a standard deviation of −4 for some data set. False, since the standard deviation is an average distance and computed from the square root, it cannot be negative.
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