Elementary Statistics (12th Edition)

Published by Pearson
ISBN 10: 0321836960
ISBN 13: 978-0-32183-696-0

Chapter 3 - Statistics for Describing, Exploring, and Comparing Data - 3-2 Measures of Center - Basic Skills and Concepts - Page 94: 31

Answer

The actual mean is more accurate, and a bit less than the one we've calculated.

Work Step by Step

The mean can be counted by summing all the data and dividing it by the number of data. Also, at each age group we take the midrange of the group to calculate. The midranges: 50-59:54.5, 60-69:64.5, 70-79:74.5, 80-89:84.5, 90-99:94.5, 100-109:104.5, 110-119:114.5, 120-129:124.5. The mean: $\frac{54.5\cdot4+64.5\cdot10+74.5\cdot25+84.5\cdot43+94.5\cdot26+104.5\cdot8+114.5\cdot3+124.5\cdot2}{121}=84.67$. The actual mean is more accurate, and a bit less than the one we've calculated.
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.