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In a study of two groups, the following results wer obtained $b$ \begin{array}{lcc}
\hline & Group & Group \\
\hline & \mathbf{A} & \mathbf{B} \\
Sample Size & 20 & 25 \\
Sample mean & 22 & 23 \\
Sample standard deviation & 10 & 12 \\
\hline
\end{array} Which of the following statements is correct?
Options:
\hline & Group & Group \\
\hline & \mathbf{A} & \mathbf{B} \\
Sample Size & 20 & 25 \\
Sample mean & 22 & 23 \\
Sample standard deviation & 10 & 12 \\
\hline
\end{array} Which of the following statements is correct?
Solution:
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Verified Answer
The correct answer is:
Group A is less variable than group B because Group A's coefficient of variation is smaller.
For Group A:
Coefficient of variation
$C V_{A}=\frac{\text { S.D. }}{\text { Mean }}=\frac{10}{22}=0.4545$
For Group B:
$C V_{B}=\frac{12}{23}=0.522$
$\Rightarrow$ Group $\mathrm{A}$ is less variable.
Coefficient of variation
$C V_{A}=\frac{\text { S.D. }}{\text { Mean }}=\frac{10}{22}=0.4545$
For Group B:
$C V_{B}=\frac{12}{23}=0.522$
$\Rightarrow$ Group $\mathrm{A}$ is less variable.
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