The smaller the spread of scores around the mean:
A)the smaller the variance of the data set.
B)the smaller the standard deviation of the data set.
C)the smaller the coefficient of variation of the data set.
D)All of these choices are true.

Question

Quizplus · Accepted Answer

All of these statements are true because the spread of scores around the mean directly affects the variance, standard deviation, and coefficient of variation of a data set. A smaller spread indicates that the data points are closer to the mean, leading to a smaller variance and standard deviation. Since the coefficient of variation is a standardized measure of dispersion that takes into account the mean of the dataset, a smaller spread around the mean also results in a smaller coefficient of variation.

The Smaller the Spread of Scores Around the Mean