Statistics for the Life Sciences (5th Edition)

Published by Pearson
ISBN 10: 0-32198-958-9
ISBN 13: 978-0-32198-958-1

Chapter 2 - Description of Sample and Populations - Exercises 2.4.1 - 2.4.8: 2.4.2

Answer

IQR = Q3 - Q1 Upper fence value = Q3 + (1.5×IQR)

Work Step by Step

a.) Rearrange the values in ascending order : 4.1, 5.2, 6.8, 7.3, 7.4, 7.8, 7.8, 8.4, 8.7, 9.7, 9.9, 10.6, 10.7, 11.9, 12.7, 14.2, 14.5, 18.8 The median or Q2 =(8.7 + 9.7)/2 = 9.2 Median of Lower Half Observations, Q1 = 7.4 Median of Upper Half Observations, Q3 = 11.9 b.) IQR = Q3 - Q1 = 11.9 - 7.4 = 4.5 c.) Upper fence value = Q3 + (1.5×IQR) = 11.9 + (1.5×4.5) = 18.65 d.) see attached link
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