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 (CV) is the ratio of the standard deviation to the mean, expressed as a percentage. To calculate it, we first need to find the standard deviation, which is the square root of the variance. The variance is given as 324, so the standard deviation is sqrt(324) = 18.

The mean is given as 160, so the CV is (18/160) x 100% = 11.25%. Therefore, the best choice is B, 11.25%.

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