## Elementary Statistics: A Step-by-Step Approach with Formula Card 9th Edition

Published by McGraw-Hill Education

# Chapter 3 - Data Description - 3-4 Exploratory Data Analysis - Exercises 3-4 - Page 172: 5

#### Answer

Minimum = 14.6 Maximum = 19.8 Median = 16.3 Q1 = 15.05 Q3 = 19 IQR = 3.95

#### Work Step by Step

Arranging the values in ascending order, we have: Minimum = 14.6 Maximum = 19.8 Median is the middle value=16.3 $Q_{1}$ is the median of values below median or at 25% of values, hence: $Q_{1}$ = (14.6+15.5)/2 = 15.05 $Q_{3}$ is the median of values above median or at 75% of values, hence: $Q_{3}$ = (18.2+19.8)/2 = 19 IQR = $Q_{3} - Q_{1} = 19-15.05 = 3.95$

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