Math, asked by alvishakaur, 4 months ago

Find the variance of the observations: 10, 10, 10, 11, 11, 11, 14, 14, 14, 14.

Answers

Answered by amitnrw

Given : observation: 10, 10, 10, 11, 11, 11, 14, 14, 14, 14

To Find : variance of observation:

Solution:

$\overline{x}$ = (10 + 10 + 10 + 11 + 11 + 11 + 14 + 14 + 14 + 14) /10

= ( 119)/10

= 11.9

x x- $\overline{x}$ (x-

10 -1.9 3.61

11 -0.9 0.81

14 2.1 4.41

30.9

Variance of Population = (1/n)∑ (x- $\overline{x}$ )²

= (1/10)30.9

= 3.09

Variance of Sample = (1/(n-1))∑ (x- $\overline{x}$ )²

= (1/9)30.9

= 3.43

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