| Group Group | ||
| A | B | |
| Sample Size | 20 | 25 |
| Sample mean | 22 | 23 |
| Sample standard Deviation | 10 | 12 |
A) Group A is less variable then Group B because Group A's standard deviation is smaller.
B) Group A is less variable then Group B because Group A's sample size is smaller.
C) Group A is less variable then group B because Group A's sample mean is smaller.
D) Group A is less variable then group B because Group A's coefficient of variation is smaller.
Correct Answer: D
Solution :
[d] For Group A: Coefficient of variation \[C{{V}_{A}}=\frac{S.D.}{Mean}=\frac{10}{22}=0.4545.\] For Group B: \[C{{V}_{B}}=\frac{12}{23}=0.522\] \[\Rightarrow \]Group A is less variable.
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