What is the variance of 1,1,3,3,5,5,7,7,7,9,10 ?

The variance of 1,1,3,3,5,5,7,7,7,9,10 is 9.21818…

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variance of 1,1,3,3,5,5,7,7,7,9,10

variance

9.21818 \dots

Solution steps

Compute the average,

\overset{x}{ˉ} : 5.27272 \dots

Compute

i = 1 \sum n (x_{i} - \overset{x}{ˉ})^{2} : 92.18181 \dots

Compute the number of terms in the data set:

n = 11

Compute

Va r (X) = i = 1 \sum n \frac{( x _{i} - x ˉ ) ^{2}}{n - 1} : 9.21818 \dots

9.21818 \dots

What is the variance of 1,1,3,3,5,5,7,7,7,9,10 ?
The variance of 1,1,3,3,5,5,7,7,7,9,10 is 9.21818…