Elementary Statistics: A Step-by-Step Approach with Formula Card 9th Edition

Published by McGraw-Hill Education
ISBN 10: 0078136334
ISBN 13: 978-0-07813-633-7

Chapter 6 - The Normal Distribution - Review Exercises - Section 6-2 - Page 363: 12

Answer

This distribution is roughly bell-shaped, but skewed to the right.

Work Step by Step

The frequency table and histogram are shown above. The distribution is close to bell-shaped. To check for skewness, calculate the Pearson Coefficient $PC=\frac{3(6972-5932)}{3459}=0.9$ indicating it is positively skewed. To check for outliers, we have Q1=5135, Q3=9348, IQR=4213, Q1-1.5IQR=-1185, Q3+1.5IQR=15668, there are no outliers. Conclusion: this distribution is roughly bell-shaped, but skewed to the right.
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