What is the variance of 48,65,57,54,61,57,52,61,57 ?

The variance of 48,65,57,54,61,57,52,61,57 is 26.36111…

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variance of 48,65,57,54,61,57,52,61,57

variance

48, 65, 57, 54, 61, 57, 52, 61, 57

26.36111 \dots

Solution steps

Compute the average,

\overset{x}{ˉ} : 56.88888 \dots

Compute

i = 1 \sum n (x_{i} - \overset{x}{ˉ})^{2} : 210.88888 \dots

Compute the number of terms in the data set:

n = 9

Compute

Va r (X) = i = 1 \sum n \frac{( x _{i} - x ˉ ) ^{2}}{n - 1} : 26.36111 \dots

26.36111 \dots

12 n C r 4

5 n C r 4

6 n C r 5

45, 80

18, 16, 13, 14, 14

What is the variance of 48,65,57,54,61,57,52,61,57 ?
The variance of 48,65,57,54,61,57,52,61,57 is 26.36111…