The smaller the spread of scores around the arithmetic mean,
A)the smaller the interquartile range.
B)the smaller the standard deviation.
C)the smaller the coefficient of variation.
D)All the above.

Question

Quizplus · Accepted Answer

All the options are correct because the spread of scores around the arithmetic mean directly affects these measures of variability. A smaller spread indicates that the data points are closer to the mean, which results in a smaller interquartile range, a smaller standard deviation, and a smaller coefficient of variation, as all these measures are used to quantify the dispersion or spread of data points around the central tendency.

The Smaller the Spread of Scores Around the Arithmetic Mean