Discussion
Which of the following is the value of coefficient of variation, when the mean is 20 and standard deviation is 7.
Answer: C
The coefficient of variation is 35 per cent.
The coefficient of variation expresses the standard deviation as a percentage of the mean:
\[ \begin{aligned} CV &= \frac{\sigma}{\bar{x}} \times 100 \\ &= \frac{7}{20} \times 100 = 35\% \end{aligned} \]
40% would follow from using 8 as the standard deviation, and 20.2% and 68% do not come from the given values.
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