Random pages were chosen from a variety of children's books

Asked by maham237 @ in Mathematics viewed by 307 People

books and the number of words on each page was recorded. Find the variance of the sample pages. 10 15 8 16 14 12 9 12 14 10

A. 7.3

B. 2.4

C. 2.7

D. 1.5

Answered by maham237 @


Answer:

The variance of the given sample is 7.3

Hence the option A. 7.3 is correct

Step-by-step explanation:

The formula of Variance is:

Var=\frac{\sum (x- \bar{x})^2}{n-1}

x (x-\bar{x})^2

10 4

15 9

8 16

16 16

14 4

12 0

9 9

12 0

14 4

10 4

\sum ( x - \bar{x}) ^2 = 66

Therefore, the variance is:

Variance = \frac{66}{10-1} =7.3


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