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 - 3-4 Exploratory Data Analysis - Exercises 3-4: 2

Answer

Minimum = 7 Maximum = 48 Median = 19 $Q_{1}$ = 11.5 $Q_{1}$ = 35 IQR = 23.5

Work Step by Step

Arranging the values in ascending order, we have: Minimum = 7 Maximum = 48 Median is the middle value = 19 $Q_{1}$ is the median of values below median, hence: $Q_{1}$ = (7+16)/2 = 11.5 $Q_{3}$ is the median of values above median, hence: $Q_{1}$ = (22+48)/2 = 35 IQR = $Q_{3} - Q_{1} = 35-11.2 = 23.5$
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