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Question
Coefficient of variation of two distributions are 60% and 70% and their standard deviations are 21 and 16 respectively. What are their arithmetic means?
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Solution
The coefficient of variation (CV) for the first distribution is 60.
The coefficient of variation (CV) for the second distribution is 70.
We know: \[CV = \frac{\sigma}{\bar{X}} \times 100\]
From the above formula, we get:
\[ \bar{{X_2}} = \frac{16}{70} \times 100 = 22 . 86\]
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