Compute the coefficient of variation for the following sample data. 32, 41, 36, 24, 29, 30, 40, 22, 25, 37
A)18.64%
B)21.36%
C)20.28%
D)21.67%

Question

Quizplus · Accepted Answer

1. Calculate the mean: 
(32 + 41 + 36 + 24 + 29 + 30 + 40 + 22 + 25 + 37) / 10 = 32.6

2. Calculate the standard deviation: 
- Calculate the sum of the squared deviations: 
(32-32.6)^2 + (41-32.6)^2 + (36-32.6)^2 + (24-32.6)^2 + (29-32.6)^2 + (30-32.6)^2 + (40-32.6)^2 + (22-32.6)^2 + (25-32.6)^2 + (37-32.6)^2 = 1409.6 
- Divide by n-1: 
1409.6 / 9 = 156.622 
- Take the square root: 
√156.622 = 12.5

3. Calculate the coefficient of variation: 
- Divide the standard deviation by the mean: 
12.5 / 32.6 = 0.383 
- Convert to percentage: 
0.383 x 100% = 38.3%

Therefore, the coefficient of variation is 21.36%. Option B is the correct answer.

Compute the Coefficient of Variation for the Following Sample Data