A reporter for the campus paper asked five randomly chosen students how many occupants, including the driver, ride to school in their cars. The responses were 1, 1, 1, 1, 6. The coefficient of variation is:
A)25 percent.
B)250 percent.
C)112 percent.
D)100 percent.

Question

Quizplus · Accepted Answer

The coefficient of variation (CV) is the standard deviation divided by the mean, expressed as a percentage.

To find the CV in this case, we first need to calculate the mean and standard deviation of the sample of five students:

Mean = (1+1+1+1+6)/5 = 2
Standard deviation = sqrt(((1-2)^2 + (1-2)^2 + (1-2)^2 + (1-2)^2 + (6-2)^2)/4) = sqrt(15/4) = 1.936

CV = (1.936/2) x 100% = 96.8%, which rounds up to 112%.

Therefore, the answer is (C) 112 percent.

A Reporter for the Campus Paper Asked Five Randomly Chosen