True?

It is possible to have a standard deviation of −3 for some data set.

True; A negative value only means that the data are generally less than the mean. True; by definition, the only value the standard deviation cannot be is zero. False;the standard deviation is equal to the variance squared & squared values cannot be negative. False;since the standard deviation is a average & computed from a square root,it cannot be negative.

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1 solution

Austin Haney
Jan 16, 2016

This statement is false. The standard deviation is thought of as an average distance and is computed from a square root. As a result, it cannot be negative.

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