Question

Find the coefficient of variation of 18,20,15,12,25​

Answer 1

sorry l don't know this answers but who can i talk the answer

Answer 2

The  coefficient of variation of 18,20,15,12,25​ is as given below.

Given,

18, 20, 15, 12, 25

we need to arrange the data in ascending order.

12, 15, 18, 20, 25

Mean is given by,

$\bar {x} = \dfrac{12+15+18+20+25}{5} = 18$

Table:

x          d = x-18         d²

12            -6               36

15             -3               9

18              0               0

20             2                4

25             7                49

∑ d = 0

∑ d² = 98

n = 5

$\sigma = \sqrt {\dfrac{\sum d^2}{n}}$

$\sigma = \sqrt {\dfrac{98}{5}} = 4.428$

The coefficient of variation is given by,

$v = \dfrac{\sigma}{\bar{x}} \times 100$

$v = \dfrac{4.428}{18} \times 100=24.6$

Therefore, the coefficient of variation is 24.6