What is the variance of 100,140,130,180,80,160 ?

The variance of 100,140,130,180,80,160 is 1376.66666…

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variance of 100,140,130,180,80,160

variance

100, 140, 130, 180, 80, 160

1376.66666 \dots

Solution steps

Compute the average,

\overset{x}{ˉ} : 131.66666 \dots

Compute

i = 1 \sum n (x_{i} - \overset{x}{ˉ})^{2} : 6883.33333 \dots

Compute the number of terms in the data set:

n = 6

Compute

Va r (X) = i = 1 \sum n \frac{( x _{i} - x ˉ ) ^{2}}{n - 1} : 1376.66666 \dots

1376.66666 \dots

6.03, 5.61, 6.04, 6, 5.99, 6.02

6, 4, 3, 6, 6

3, 6, 4, 5, 1, 2, 3, 2, 4, 3

1, 2, 3, 4, 5

4 n cr 3

What is the variance of 100,140,130,180,80,160 ?
The variance of 100,140,130,180,80,160 is 1376.66666…