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: 2.4.1

Answer

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

Work Step by Step

a. )Rearrange the values in ascending order: 13,13,14,14,15,15,16,20,21,26 The Median or Q3: (15 + 15)/2 = 15 Median of Lower Half Observations: 14 Median of Upper Half Observations: 20 b.) IQR = Q3 - Q1 IQR = 20 - 14 = 6 c.) Upper fence value = Q3 + (1.5×IQR) = 20 + (1.5×6) = 29 An observation would have to be greater than 29 to be an outlier.
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