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: 3

Answer

Minimum = 188 Maximum = 589 Median = 339 $Q_{1}$ = 192 $Q_{3}$ = 437 IQR = 245

Work Step by Step

Arranging the values in ascending order, we have: Minimum = 188 Maximum = 589 Median is the average of middle values = (316+362)/2 = 339 $Q_{1}$ is the median of values below median or at 25% of values, hence: $Q_{1}$ = 192 $Q_{3}$ is the median of values above median or at 75% of values, hence: $Q_{3}$ = 437 IQR = $Q_{3} - Q_{1} = 437 - 192 = 245$
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