Basic College Mathematics (10th Edition)

Published by Pearson
ISBN 10:
ISBN 13:

Chapter 10 - Statistics - 10.4 Mean, Median, and Mode - 10.4 Exercises - Page 739: 27

Answer

The median is a better measure of central tendency than the mean when there is an extremely big or an extremely small number (called an outlier) in the data set. Refer to the example below.

Work Step by Step

The median is a better measure of central tendency than the mean when there is an extremely big or an extremely small number (called an outlier) in the data set. Example: $1, 2, 3, 4, 5, 105$ Mean = $\dfrac{1+2+3+4+5+105}{6}=20$ Median = $\dfrac{4+5}{2}=4.5$ In the data set above, it is clear that the better measure of central tendency if the median as the value of the mean is too big.
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.