Introductory Statistics 9th Edition

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

Chapter 3 - Section 3.1 - Measures of Center for Ungrouped Data - Exercises - Page 88: 3.15

Answer

median=235 mean=244 trimmed mean = 235

Work Step by Step

Rearrange the data set from smallest to largest 188, 195, 205, 214, 219, 251, 265, 283, 295, 325 n = 10 , trimmed n = 10 * 10% = 1, which 1 number will be removed 1)median = (5th + 6th)/2 =(219 + 251)/2 =235 2)mean = (188+195+205+214+219+251+265+283+295+325)/10 = 2440/10 = 244 3) Trimmed data set : 188, 195, 205, 214, 219, 251, 265, 283, 295 note: 325 is removed since it has the largest gap with the previous number compared to 188 Trimmed mean = (188+195+205+214+219+251+265+283+295)/9 =2115/9 = 235
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