Question

explain the purpose of a measure of variation. choose the correct answer below. a. the purpose of a measure of variation is to describe the center of the observations and show how the observations differ from each other. b. the purpose of a measure of variation is to characterize the elements of a data set and to describe the center of the observations. c. the purpose of a measure of variation is to capture the degree to which observations differ among themselves and to describe the center of the observations. d. the purpose of a measure of variation is to show the amount of variation or spread in a data set, and to capture the degree to which observations differ among themselves.

Explanation:

Measures of variation like range, variance, and standard - deviation focus on the spread or dispersion of data values in a dataset. They do not describe the center (which is done by measures like mean, median, mode). They show how much the data points vary from each other.

Answer:

D. The purpose of a measure of variation is to show the amount of variation or spread in a data set, and to capture the degree to which observations differ among themselves.