Introductory Statistics 9th Edition

Published by Wiley
ISBN 10: 1-11905-571-7
ISBN 13: 978-1-11905-571-6

Chapter 3 - Section 3.5 - Measures of Position - Exercises - Page 112: 3.70

Answer

a. Q2(median) = 1055.5, Q1 = 703.25, Q3 = 1264, Interquartile range = 560.75 b. Percentile (57) = 1065 c. Percentile rank = 45

Work Step by Step

a.$Q1 = (1\div4)\times20=5th = 699, Q2(median) = (2\div4\times20)th+[(2\div4\times20)+1]th \div2= 10th+11th = (1046+1065)\div2 =1055.5 , Q3 = (3\div4\times20)=15th = 1234$ b. Percentile of 57th = $(57\times20\div100)th = 11th = 1065$ c. Percentile rank of 1046 = $(9 \div 20)\times100 \% = 45 \%$
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