Question

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

Answer 1

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

10 -1.9 3.61

10 -1.9 3.61

11 -0.9 0.81

11 -0.9 0.81

11 -0.9 0.81

14 2.1 4.41

14 2.1 4.41

14 2.1 4.41

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

Learn More:

https://brainly.in/question/30293321

If the variance of 1,2,3,4,…………,10 is 99/12 , then S.D. of 3,6,9,12 ...

https://brainly.in/question/21987503

Variance of the 50 number in A.P whose first term is and common ...

https://brainly.in/question/16813212

. (a) The arithmetic mean and variance of a set of ten figures are ...

https://brainly.in/question/18508276