If the mean of few observations is 40 and standard deviation is 8, then what is the coefficient of variation?

Concept:

\({\rm{Coefficient\;of\;variation}} = {\rm{}}\frac{{{\rm{standard\;deviaiton}}}}{{{\rm{Mean}}}} \times 100\)

Calculation:

Given:

Mean = 40 and Standard deviation = 8

As we know, \({\rm{Coefficient\;of\;variation}} = {\rm{}}\frac{{{\rm{standard\;deviaiton}}}}{{{\rm{Mean}}}} \times 100\)

\(\Rightarrow {\rm{Coefficient\;of\;variation}} = {\rm{}}\frac{8}{40} \times 100 = 20\)%

Adding a constant to each value: The median, mean, and quartiles will be changed by adding a constant to each value. However, the range, interquartile range, standard deviation and variance will remain the same.

Multiplying every value by a constant: however, will multiply the mean, median, quartiles, range, interquartile range, and standard deviation by that constant, and multiply the variance by the square of that constant.