Statistics: Informed Decisions Using Data (4th Edition)

Published by Pearson
ISBN 10: 0321757270
ISBN 13: 978-0-32175-727-2

Chapter 3 - Review - Review Exercises - Page 185: 10g

Answer

The distribution is skewed right.

Work Step by Step

From item (b): $Q_1=1390$, $median=Q_2=2144$ and $Q_3=2942$ (Note: results will differ slightly depending on method used; e.g. MINITAB vs Excel, etc) $Q_2-Q_1=2144-1390=754$ $Q_3-Q_2=2942-2144=798$ $Q_3-Q_2\gt Q_2-Q_1$ means that the median is closer to $Q_1$ than to $Q_3$. That is, in the boxplot, the median is on the left side of the box. Also, the right whisker is longer than the left whisker. We can conclude that the distribution is skewed right.
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