Algebra 1

Published by Prentice Hall
ISBN 10: 0133500403
ISBN 13: 978-0-13350-040-0

Chapter 12 - Data Analysis and Probability - 12-4 Box-and-Whisker Plots - Practice and Problem-Solving Exercises - Page 739: 24


a) Device 1 b) under 17 ounces--Device 2, over 17.2 ounces--Device 1

Work Step by Step

a) Device 1 has a smaller interquartile range, and the length of the whiskers are shorter than those of Device 2. b) Device 1 has its third quartile at 17.2 ounces, while Device 1 has its median at 17.2 ounces. The goal is to minimize the number of packages over 17.2 ounces, so Device 1 would average 1/4 of its packages over that weight (while Device 2 would average 1/2 of its packages over that weight). Device 1 has its median at 17.1 ounces (while Device 2 has its first quartile at 17 ounces). Thus, half of the packages with Device 2 would be under 17 ounces. Device 1 would have more than a quarter (but less than half) of its packages under that weight.
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