Which of the following statements is true regarding the data set 8,8,8,8,and 8?
A)The range equals 0.
B)The standard deviation equals 0.
C)The coefficient of variation equals 0.
D)All of these choices are true.

Question

Quizplus · Accepted Answer

The range equals the difference between the maximum and minimum values in the data set, and in this case, they are all the same (8-8=0), so the range equals 0.
The standard deviation is a measure of the spread or dispersion of a data set, and when all values in the data set are the same, the standard deviation equals 0.
The coefficient of variation is the ratio of the standard deviation to the mean, and when the standard deviation is 0 (as it is in this case), the coefficient of variation also equals 0. Therefore, all of these choices are true.

Which of the Following Statements Is True Regarding the Data