Whenever the value of the standard deviation is positive, then
A) the z score must be positive
B) the percentile must be greater than 50
C) the raw score must be above the mean
D) none of these, since the standard deviation is always positive

Question

Quizplus · Accepted Answer

The standard deviation is a measure of the dispersion or spread of a set of data points. It is always non-negative, as it is calculated as the square root of the variance, which is a squared quantity. Choices A, B, and C are incorrect because they make specific claims about the z score, percentile, or raw score based on the standard deviation being positive, which does not directly influence these aspects.

Whenever the Value of the Standard Deviation Is Positive, Then