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

Question

Quizplus · Accepted Answer

In a perfectly symmetric distribution, the quartiles (Q1 and Q3) and therefore the positions of the upper and lower fences will be equidistant from the median. This means that the distance from Q₁ to the median would always equal the distance from Q₃ to the median in a box plot. Therefore, the statement is true.

If the Distribution of a Data Set Were Perfectly Symmetric,the