Question

For data $x_1,x_{\mathrm{2...},}{x}_{10,}\overline{x}=12$ and ${\sum }_{i=1}^{10}{X}_i^2=1530$, then the coefficient of variation is

Answer 1

The formula to find coefficient of variation is $(C.V)=\left(\sigma /\overline{x}\right)\times 100$

$\sigma =\int \left(\epsilon x^2/n\right)-(\epsilon x/n{)}^2$

$=\int \left(1530/10\right)-(12{)}^2$

$=\int 153-144=\int 9=3$

Coefficient of variation $\left(cv\right)=\left(\sigma /\overline{x}\right)\times 100$

$=\frac{3}{12}\times 100$

$=\frac{1}{4}\times 100=25$