The numerical value of the standard deviation can never be _____.
A) larger than the variance
B) zero
C) negative
D) All of the answers are correct.

Question

Quizplus · Accepted Answer

The standard deviation is calculated as the square root of the variance, which is always a non-negative value. Therefore, it can never be negative. The other options are incorrect as the standard deviation can be equal to the variance (option A) and can technically be zero (option B) if all the values in the data set are the same.

The Numerical Value of the Standard Deviation Can Never Be