Statistics: Informed Decisions Using Data (4th Edition)

Published by Pearson
ISBN 10: 0321757270
ISBN 13: 978-0-32175-727-2

Chapter 3 - Section 3.1 - Assess Your Understanding - Applying the Concepts - Page 138: 28

Answer

The distibution is symmetric. $Mean=104.136~s$ $Median=104~s$ The mean better describes the length of eruption of this sample.

Work Step by Step

$Mean=\frac{2\times90+92+94+95+2\times99+2\times100+4\times101+3\times102+5\times103+3\times104+3\times105+2\times106+107+3\times108+2\times109+5\times110+111+113+116+120}{44}=104.136~s$ $Median=\frac{104+104}{2}=104~s$ Since the distribution is symmetric, the mean better describes the length of eruption of this sample.
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