Question

What is the coefficient of variation for the following distribution?

p	X
.1	20
.2	25
.3	30
.2	35
.1	40
.1	45

Answer 1

Coefficient of variation = (Standard deviation/mean)*100

Value	SD= sqrt((sum(value-mean)^2/(n-1))
0.12	=(0.12-0.2)^2=0.006
0.225	=(0.225-0.2)^2=0.001
0.33	=(0.33-0.2)^2=0.017
0.235	=(0.235-0.2)^2=0.001
0.14	=(0.14-0.2)^2=0.004
0.145	=(0.145-0.2)^2=0.003
Mean=(0.12+0.225+0.33+0.235+0.14+0.145)/6=0.20	=SQRT(((0.006+0.001+0.017+0.001+0.004+0.003)/(6-1)))=0.08

Standard deviation = 0.08

Mean = 0.2

So, coefficient of variation = (0.08/0.2)*100 = 40 percent