An important numerical measure of the shape of a distribution is the
A) 5-number summary
B) z-score.
C) coefficient of variation.
D) skewness.

Question

Quizplus · Accepted Answer

Skewness is a measure of the asymmetry of a distribution. It indicates whether the data are skewed to one side, and if so, in which direction. A positive skewness suggests that the tail of the distribution is longer on the right side, while a negative skewness suggests that the tail is longer on the left side. Therefore, skewness is an important numerical measure of the shape of a distribution. A, B, and C are also important measures, but they do not specifically address the shape of the distribution.

An Important Numerical Measure of the Shape of a Distribution