Question
Calculate the coefficient of variation for the data given below:
✓
Answer
$\bar{x}=\frac{\sum f_i x_i}{N}=\frac{1700}{100}=17$
$\begin{aligned} \operatorname{Var}( X ) & =\sigma_x{ }^2=\frac{1}{ N } \sum f _{ i } x_{ i }{ }^2-(\bar{x})^2 \\ & =\frac{1}{100}(31465)-(17)^2 \\ & =314.65-289\end{aligned}$
$=25.65$
$\begin{aligned} & \sigma_x=\sqrt{25.65}=5.06 \\ & \text { C.V. }=100 \times \frac{\sigma_x}{\bar{x}}=100 \times \frac{5.06}{17}=29.76 \%\end{aligned}$
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