variance of 101,111,121,120,115,130,98,100,120,112,99,130,109,99,110

Solution

variance

101, 111, 121, 120, 115, 130, 98, 100, 120, 112, 99, 130, 109, 99, 110

119.80952 \dots

Solution steps

Compute the average,

\overset{x}{ˉ} : 111.66666 \dots

Compute

i = 1 \sum n (x_{i} - \overset{x}{ˉ})^{2} : 1677.33333 \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} : 119.80952 \dots

119.80952 \dots

7 n C r 5

2 n P r 2

15 n C r 5

c (10, 3)

50, 60, 70, 80, 90

What is the variance of 101,111,121,120,115,130,98,100,120,112,99,130,109,99,110 ?
The variance of 101,111,121,120,115,130,98,100,120,112,99,130,109,99,110 is 119.80952…