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?

Answer 1

The coefficient of variation (CV) for the first distribution is 60.
The coefficient of variation (CV) for the second distribution is 70.

\[SD\left( \sigma_1 \right) = 21\]

\[SD\left( \sigma_2 \right) = 16\]

We know: \[CV = \frac{\sigma}{\bar{X}} \times 100\]

From the above formula, we get:

\[CV = \frac{\sigma}{\bar{X}} \times 100\]

\[\bar{{X_1}} = \frac{21}{60} \times 100 = 35\]
\[ \bar{{X_2}} = \frac{16}{70} \times 100 = 22 . 86\]