What is the variance of 4,5.5,5,6.5,7.5,1.5,1,0.5,3.5,2.5,4,5,3.5,4.5,6 ?

The variance of 4,5.5,5,6.5,7.5,1.5,1,0.5,3.5,2.5,4,5,3.5,4.5,6 is 4.08809…

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variance of 4,5.5,5,6.5,7.5,1.5,1,0.5,3.5,2.5,4,5,3.5,4.5,6

variance

4, 5.5, 5, 6.5, 7.5, 1.5, 1, 0.5, 3.5, 2.5, 4, 5, 3.5, 4.5, 6

4.08809 \dots

Solution steps

Compute the average,

\overset{x}{ˉ} : 4.03333 \dots

Compute

i = 1 \sum n (x_{i} - \overset{x}{ˉ})^{2} : 57.23333 \dots

Compute the number of terms in the data set:

n = 15

Compute

Va r (X) = i = 1 \sum n \frac{( x _{i} - x ˉ ) ^{2}}{n - 1} : 4.08809 \dots

4.08809 \dots

1.69, 1.7, 1.69, 1.71, 1.68, 1.69, 1.68, 1.7, 1.67, 1.68

19 n CR 6

90.4, 80.43, 100.54, 91.32, 102.23, 109.43, 101.32, 82.43, 79.33, 92.3

C (6, 2)

100, 140, 130, 180, 80, 160

What is the variance of 4,5.5,5,6.5,7.5,1.5,1,0.5,3.5,2.5,4,5,3.5,4.5,6 ?
The variance of 4,5.5,5,6.5,7.5,1.5,1,0.5,3.5,2.5,4,5,3.5,4.5,6 is 4.08809…