What is the variance of 1,1,1,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4,5,5 ?

The variance of 1,1,1,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4,5,5 is 1.49047…

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variance of 1,1,1,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4,5,5

variance

1, 1, 1, 2, 2, 2, 2, 2, 3, 3, 3, 3, 3, 3, 4, 4, 4, 4, 4, 5, 5

1.49047 \dots

Solution steps

Compute the average,

\overset{x}{ˉ} : 2.90476 \dots

Compute

i = 1 \sum n (x_{i} - \overset{x}{ˉ})^{2} : 29.80952 \dots

Compute the number of terms in the data set:

n = 21

Compute

Va r (X) = i = 1 \sum n \frac{( x _{i} - x ˉ ) ^{2}}{n - 1} : 1.49047 \dots

1.49047 \dots

11 C 3

9, 8, 6, 6, 8, 6, 3, 9, 4, 6

50 C 5

1, 1, 3, 3, 5, 5, 7, 7, 7, 9, 10

16 C 2

What is the variance of 1,1,1,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4,5,5 ?
The variance of 1,1,1,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4,5,5 is 1.49047…