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

In a perfectly symmetrical distribution, the median is the same as the mean and the quartiles are equidistant from the median. Therefore, the distance from Q1 to the median would be equal to the distance from Q3 to the median in a boxplot.

If the Distribution of a Data Set Were Perfectly Symmetrical