The variance of a χ² distribution is twice the value of its mean.

Name: The variance of a χ 2 distribution is twice the value of its mean.
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Quizplus · Accepted Answer

This is a known property of the χ² distribution - its variance is equal to twice its degrees of freedom. In this case, the degrees of freedom are (1+1+2+1+1+0) = 6, so the variance is 2*6 = 12. Therefore, if the variance is twice the mean, then the mean must be 12/2 = 6.

The Variance of a χ2 Distribution Is Twice the Value

The Variance of a χ² Distribution Is Twice the Value