Question

A researcher has collected the following sample data. The mean of the sample below is 5.

Answer 1

Answer:

The coefficient of variation is 72.66%

Step-by-step explanation:

Data : 3 , 5 , 12 , 3 , 2

We are given that The mean of the sample is 5.

Formula of standard deviation =$\sigma = \sqrt{\frac{\sum(x-\bar{x})^2}{n}$

Substitute the values :

$\sigma = \sqrt{\frac{(3-5)^2+(5-5)^2+(12-5)^2+(3-5)^2+(2-5)^2}{5}}=3.633$

Coefficient of variation=$\frac{\sigma}{\mu} \times 100=\frac{3.633}{5} \times 100 =72.66\%$

Hence The coefficient of variation is 72.66%