Question

If $n=10,\overline{x}=12$ and $\sum x^2=1530$, then calculate the coefficient of variation

Answer 1

$n=10$

$\overline{x}=12$

$\sum x^2=1530$

$\sigma =\sqrt{\frac{\sum x^2}{n}-{\left(\frac{\sum x}{n}\right)}^2}$

$\sigma =\sqrt{\frac{1530}{10}-{12}^2}$

$\sigma =\sqrt{9}$

$\sigma =3$