From the data given below state which group is more variable, A or B?
The group having higher coefficient of variation will be more variable
So, we will calculate
Where σ is standard deviation
is mean
For group A
Mean
Where A is assumed mean = 45
h = class size= 20- 10 = 10
Mean,
Variance
=
=
Standard deviation =
C.V.A=
For group B
Variance
=
=
Standard deviation =
Since the coefficient of variance of group B coefficient of Group A
∴ Group B is more variable