A study of the scores on an in-plant course in management principles and the years of service of the employees enrolled in the course resulted in these statistics: i. Mean test score was 200 with a standard deviation of 40
ii. Mean number of years of service was 20 years with a standard deviation of 2 years.
In comparing the relative dispersion of the two distributions, what are the coefficients of variation?
A) Test 50%, service 60%
B) Test 100%, service 400%
C) Test 20%, service 10%
D) Test 35%, service 45%

Question

Quizplus · Accepted Answer

The coefficient of variation is calculated by dividing the standard deviation by the mean and expressing the result as a percentage. For the test scores, the coefficient of variation is 40/200 = 0.20 or 20%. For the years of service, the coefficient of variation is 2/20 = 0.10 or 10%. Therefore, the answer is C, with a coefficient of variation of 20% for the test scores and 10% for the years of service.

A Study of the Scores on an In-Plant Course in Management