The interquartile range would be an appropriate measure of dispersion for
A) nominal level variables
B) interval-ratio level variables only
C) ordinal level variables
D) skewed variables only

Question

Quizplus · Accepted Answer

The interquartile range (IQR) is a measure of dispersion that is appropriate for ordinal level variables. It measures the spread of the middle 50% of the data and is not affected by extreme values or outliers. For nominal level variables, there is no meaningful order to the categories, so the IQR is not appropriate. For interval-ratio level variables, there are other measures of dispersion that are more appropriate, such as the standard deviation or range. Skewness does not necessarily determine which measure of dispersion is appropriate.

The Interquartile Range Would Be an Appropriate Measure of Dispersion