The variance of a distribution increases more than proportionately with the spread of the distribution because:
A)variance is a squared quantity.
B)variance always lies at the center of the distribution.
C)variance is half the value of mean.
D)variance is closer to the maximum values.

Question

Quizplus · Accepted Answer

The formula for variance involves squaring the distance of each data point from the mean, which means that as the spread increases, the squared distances increase even more. Therefore, the variance increases more than proportionately with the spread of the distribution.

The Variance of a Distribution Increases More Than Proportionately with the Spread