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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?
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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