The weights (in pounds) of a sample of 36 individuals were recorded and the following statistics were calculated. mean = 160
Range = 60
Mode = 165
Variance = 324
Median = 170
The coefficient of variation equals
A) 0.1125%.
B) 11.25%.
C) 203.12%.
D) 0.20312%.

Question

Quizplus · Accepted Answer

The coefficient of variation is calculated as the standard deviation divided by the mean, expressed as a percentage. Since the standard deviation is the square root of the variance, we first need to find the standard deviation:

Standard deviation = sqrt(Variance) = sqrt(324) = 18

Coefficient of variation = (standard deviation / mean) x 100%
Coefficient of variation = (18 / 160) x 100%
Coefficient of variation = 0.1125 x 100%
Coefficient of variation = 11.25%

Therefore, the answer is B.

The Weights (In Pounds) of a Sample of 36 Individuals