The Basic Practice of Statistics 7th Edition

Published by W. H. Freeman
ISBN 10: 1-46414-253-X
ISBN 13: 978-1-46414-253-6

Chapter 2 - Describing Distributions with Numbers - Check Your Skills - Page 67: 2.17

Answer

b) 151.6, 163.5, 168.25, 174.3, 177.6

Work Step by Step

The minimum and maximum values of the data set are 151.6 and 177.6, respectively. $151.6, 159.2, 163.5, 164.1, 165.1, 171.4, 173.2, 174.3, 174.8, 177.6$ The median of the data set is the average of the two middle numbers (165.1 and 171.4, or 168.25). The Q1 is the median value between the minimum (151.6) and the median (168.25, but we will use 165.1 as 168.25 is not part of the data set). Thus, Q1 = 163.5. Q3 is the median value between the median (168.25, but we will use 171.4 as 168.25 isn't part of the data set) and the maximum value (177.6). Thus, Q3 = 174.3.
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