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

Question

Quizplus · Accepted Answer

The coefficient of variation (CV) is calculated as the ratio of the standard deviation to the mean, expressed as a percentage. 
CV = (standard deviation / mean) x 100%

Since the standard deviation is the square root of the variance, we can find the standard deviation to be:
Standard deviation = sqrt(variance) = sqrt(324) = 18

Now we can plug in the values: 
CV = (18 / 160) x 100% = 0.1125 x 100% = 11.25%

Therefore, the correct answer is B.

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