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 3 - Data Description - 3-3 Measures of Position - Extending the Concepts - Page 161: 31

Answer

a. $Q1=12$, $Q2=20$, $Q3=32$, Midquartile=$22$, $IQR=20$ b. $Q1=62$, $Q2=94$, $Q3=99$, Midquartile=$80.5$, $IQR=37$

Work Step by Step

find Q1, Q2, Q3, the midquartile, and the interquartile range a. 5, 12, 16, 25, 32, 38 $Q1=12$, $Q2=(15+25)/2=20$, $Q3=32$, Midquartile=$(12+32)/2=22$, $IQR=32-12=20$ b. 53, 62, 78, 94, 96, 99, 103 $Q1=62$, $Q2=94$, $Q3=99$, Midquartile=$(62+99)/2=80.5$, $IQR=99-62=37$
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