What is the variance of 3,8,4,6,3,10,7,3,7,7 ?

The variance of 3,8,4,6,3,10,7,3,7,7 is 5.95555…

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variance of 3,8,4,6,3,10,7,3,7,7

variance

3, 8, 4, 6, 3, 10, 7, 3, 7, 7

5.95555 \dots

Solution steps

Compute the average,

\overset{x}{ˉ} : 5.8

Compute

i = 1 \sum n (x_{i} - \overset{x}{ˉ})^{2} : 53.6

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} : 5.95555 \dots

5.95555 \dots

7 C 4

57, 58, 69, 61, 62, 62, 62, 64, 64, 65, 69, 70

48, 50, 56, 53, 46, 50, 41, 54, 47, 56

19, 10, 6, 5, 8, 6, 16

10, 25

What is the variance of 3,8,4,6,3,10,7,3,7,7 ?
The variance of 3,8,4,6,3,10,7,3,7,7 is 5.95555…