Correct Answer - Option 3 : 25%
Concept:
The coefficient of variation can be calculated as:
\({\rm{Coefficient\;of\;variation}} = {\rm{}}\frac{{{\rm{standard\;deviaiton}}}}{{{\rm{Mean}}}} \times 100\)
Calculation:
Given:
Mean = 20 and Standard deviation = 5
As we know,
\({\rm{Coefficient\;of\;variation}} = {\rm{}}\frac{{{\rm{standard\;deviaiton}}}}{{{\rm{Mean}}}} \times 100\)
\(\Rightarrow {\rm{Coefficient\;of\;variation}} = {\rm{}}\frac{5}{20} \times 100 = 25\%\)
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.
