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: 4

Answer

Minimum = 147 Maximum = 632 Median = 273 Q1 = 156 Q1 = 543 IQR = 387

Work Step by Step

Arranging the values in ascending order, we have: Minimum = 147 Maximum = 632 Median is the average of middle values = (243+303)/2 = 273 $Q_{1}$ is the median of values below median or at 25% of values, hence: $Q_{1}$ = 156 $Q_{3}$ is the median of values above median or at 75% of values, hence: $Q_{3}$ = 543 IQR = $Q_{3} - Q_{1} = 543-156 = 387$
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