Question

In fuel economy tests in city driving conditions, a hybrid vehicle’s mean was 49.1 mpg with a standard deviation of 3.0 mpg. A comparably sized gasoline vehicle’s mean was 34.3 mpg with a standard deviation of 1.7 mpg.

Coefficient of hybrid vehicle%

Coefficient of gasoline vehicle%

Answer 1

Ans: The coefficient of variation, also known as relative standard deviation, is a standardized measure of dispersion of a probability distribution or frequency distribution. It is often expressed as a percentage, and is defined as the ratio of the standard deviation to the mean

Coefficient of variation of hybrid vehicle= (standard deviation of hybrid vehicles/ Mean of hybrid vehicles) *100

= (3/49.1)*100 = 6.11%

Coefficient of variation of gasoline vehicle= (standard deviation of gasoline vehicles/ Mean of gasoline vehicles) *100

= (1.7/34.3) * 100 = 6.11% = 4.96%