Question

The coefficient of variations of two series are $58$ and $69$. Their standard deviations are $21.2$ and $51.6$. What are their arithmetic means?

Answer 1

${CV}_1=58$ ${\sigma }_1=21.2$

${CV}_2=58$ ${\sigma }_2=51.6$

$CV=\left(\frac{\sigma }{\mu }\right)\times 100$

$\mu =\left(\frac{\sigma }{CV}\right)\times 100$

${\mu }_1=\left(\frac{21.2}{58}\right)\times 100$

${\mu }_1=36.552$

${\mu }_2=\left(\frac{51.6}{69}\right)\times 100$

${\mu }_2=74.783$