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 - Chapter Quiz - Page 366: 33

Answer

not normal

Work Step by Step

1. Construct a frequency distribution and draw a histogram for the data as shown in the figure. We can see that the distribution is right skewed. 2. Check for skewness using the Pearson coefficient with $\bar X=481.5, median=460, s=166.9$ we have $PC=\frac{3(481.5-460)}{166.9}=0.386$ which shows a right skewed distribution. 3. Check for outliers, with $Q1=340,Q3=550,IQR=210$, we set up a range of $340-1.5IQR=25$ to $550+1.5IQR=865$ and we can see that 1 data point (1010) is an outlier. Because of the skewness and the outlier, we conclude that the distribution is not normal.
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