Question

Calculate the coefficient of variation (C.V.) of the following data:
$40,36,64,48,52$.

Answer 1

$CV=\frac{SD}{Mean}\times 100$

$Mean=\frac{40+36+64+48+52}{5}=\frac{240}{5}=48$

$SD=\sqrt{\frac{\sum {(x-\overline{X})}^2}{N}}$

$⟹\sqrt{\frac{(-8{)}^2+(-12{)}^2+(16{)}^2+(0{)}^2+(4{)}^2}{5}}$

$⟹\sqrt{96}=9.80$

Thus, $CV=\frac{9.80}{48}\times 100=20.42$