The numerical value of the variance
A) is always larger than the numerical value of the standard deviation.
B) is always smaller than the numerical value of the standard deviation.
C) is negative if the mean is negative.
D) can be larger or smaller than the numerical value of the standard deviation.

Question

Quizplus · Accepted Answer

The variance is defined as the average of the squared differences between each data point and the mean. The standard deviation is the square root of the variance. Therefore, the variance can be larger or smaller than the numerical value of the standard deviation depending on the spread of the data. It is not related to the mean being negative or positive.

The Numerical Value of the Variance