Elementary Statistics: A Step-by-Step Approach with Formula Card 9th Edition

Published by McGraw-Hill Education
ISBN 10: 0078136334
ISBN 13: 978-0-07813-633-7

Chapter 3 - Data Description - 3-1 Measures of Central Tendency - Exercises 3-1 - Page 124: 16

Answer

mean: $6.52\%$ modal class 0.8–4.4 No. The mean is not the best average for this set of data because the modal class is the lowest class, and most of the data were clustered on the left side of the total data range.

Work Step by Step

The mean is $\frac{326.1}{50}=6.52\%$ The modal class is the class with the largest frequency. Modal class = 0.8–4.4, since it has the highest frequency (26). The mean is pulled slightly higher by a few states with very high foreign-born percentages (e.g., 23.0–26.6). The modal class (0.8–4.4) shows that most states have relatively low percentages. The data is skewed right, meaning the mean is higher than the mode and median. The mean is not the best average here. The mode or median would better represent the typical state, since most states fall in the lower percentage range.
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.