If the distribution of a data set were perfectly symmetrical, the distance from Q₁ to the median would always equal the distance from Q₃ to the median in a boxplot.

Question

Quizplus · Accepted Answer

The statement is true. If the distribution of a dataset is perfectly symmetrical, then the median is at the center of the data, and the first quartile (Q₁) and third quartile (Q₃) are equidistant from the median. Therefore, the distance from Q₁ to the median would be the same as the distance from Q₃ to the median in a boxplot.

If the Distribution of a Data Set Were Perfectly Symmetrical