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: 11


This distribution is not normally distributed.

Work Step by Step

The frequency table and histogram are shown above. Clearly it is not a bell-shape. To check the skewness with the Pearson coefficient $PC=\frac{3(\bar X-median)}{x}=\frac{3(2136-1755)}{1171.7}=0.98$ indicating strong positive skewness. To check for outliers: Quartiles: Q1=1320, Q3=2827, IQR=1507, Q1-1.5IQR=-940.5, Q3+1.5IQR=5087.5 no outliers. Conclusion: this distribution is positively skewed and not normally distributed.
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