In a study of two groups, the following resutls were obtained
`|{:(,"Group","Group"),(,A,B),("Sample Size",22,23),("Sample mean",20,25),("Sample standard deviation",10,12):}|`
Which of the following statements is correct?

Options

A. Group A is less variable than Group B because Group A's standard deviation is smaller.
B. Group A is less variable than Group B because Group A's sample size is smaller.
C. Group A is less variable than Group B because Group A's sample mean is smaller.
D. Group A is less variable than Group B because Group A's coefficient of variation is smaller.

Answer

D

Explanation

For Group A :
Coefficient of variation
`CV_(A)=(S.D.)/("Mean")=(10)/(22)=0.4545.`