The numerical value of the standard deviation can never be
A) larger than the variance.
B) zero.
C) negative.
D) smaller than the variance.

Question

Quizplus · Accepted Answer

The standard deviation is a measure of the amount of variation or dispersion of a set of values. It is calculated as the square root of the variance. Since the variance is a squared value, it cannot be negative, and thus the standard deviation, being a square root, also cannot be negative.

The Numerical Value of the Standard Deviation Can Never Be