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 140: 43d

Answer

$Mean\lt Median$ This contradicts the rule that says that, in a skewed-right distribution, the mean is greater than the median.

Work Step by Step

$Mean=\frac{23\times0+17\times1+4\times2+3\times3+2\times4+1\times5}{50}=0.94$ There are 50 observations (even). According to the histogram (in ascending order), the 25th and 26th number of days are 1 and 1. $Median=\frac{1+1}{2}=1$ Notice that, if you change two number of days from 1 to 0, there will be 25 number of days equal to 0 and 15 number of days equal to 1. And then: $median=\frac{0+1}{2}=0.5$ And if you change three number of days from 1 to 0, there will be 26 number of days equal to 0 and 14 number of days equal to 1. Now, $median=0$ That is the "problem" for some discrete data.
Update this answer!

You can help us out by revising, improving and updating this answer.

Update this answer

After you claim an answer you’ll have 24 hours to send in a draft. An editor will review the submission and either publish your submission or provide feedback.