Stats Modeling the World, 4th Edition

Published by Pearson
ISBN 10: 0133151549
ISBN 13: 978-0-13315-154-1

Chapter 5 - The Standard Deviation as a Ruler and the Normal Model - Exercises: 21

Answer

Class 1: A Class 2: B Class 3: C

Work Step by Step

The histogram for Class 1 shows data that is mostly symmetric. Most of the data is near the mean, indicating that the first and third quartiles (the upper and lower bounds of the box in the boxplot) would be close to the mean as well. Both the A and B boxplots show symmetrical data, but plot A's first and third quartiles are closer to the mean. The histrogram for Class 2 shows a symmetric data as well, but it appears to have 3 modes, so the more spread-out data would create a boxplot with a larger space between the first and third quartiles (interquartile range), meaning plot B is the correct plot. The histogram for Class 3 shows data that is skewed to the right. Plot C is the only plot that shows a skew-- most of the data is above 60-- so it is the correct choice.
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