Question

Given the box plot, Which of the median and mean will best describe of the center?

Box plot with min at 11, Q1 at 22.5, median at 34.5, Q3 at 32, max at 37.5
A. The mean, because the data distribution is symmetrical
B. The mean, because the data distribution is skewed to the left
C. The median, because the data distribution is skewed to the left
D. The median, because the data distribution is skewed to the right

Answer 1

D is the correct answer. The data ranges from 11 to 37.5, but the median and Q3 are closer to the higher end. This means the data is skewed to the right, because the higher values are on the right of the axis.