What is the variance of 5,9,3,9,4,5,2,6,10,2 ?

The variance of 5,9,3,9,4,5,2,6,10,2 is 8.72222…

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variance of 5,9,3,9,4,5,2,6,10,2

variance

5, 9, 3, 9, 4, 5, 2, 6, 10, 2

8.72222 \dots

Solution steps

Compute the average,

\overset{x}{ˉ} : 5.5

Compute

i = 1 \sum n (x_{i} - \overset{x}{ˉ})^{2} : 78.5

Compute the number of terms in the data set:

n = 10

Compute

Va r (X) = i = 1 \sum n \frac{( x _{i} - x ˉ ) ^{2}}{n - 1} : 8.72222 \dots

8.72222 \dots

95, 110, 116, 128, 137, 142, 182

8, 4, 9, 2, 8, 2, 6, 2, 2, 4

12.5, 12.7, 14.9, 11.3, 11.7, 10.9

C (20, 2)

55, 55, 50, 52, 46, 38, 47, 51, 55, 56

What is the variance of 5,9,3,9,4,5,2,6,10,2 ?
The variance of 5,9,3,9,4,5,2,6,10,2 is 8.72222…