Question

If the coefficient of variation of a collection of data is $45$ and its standard deviation is $2.5$, then find the mean

Answer 1

$CV=45$

$\sigma =2.5$

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

$45=\frac{2.5}{\mu }\times 100$

$\mu =\frac{2.5\times 100}{45}$

$\mu =5.56$