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 - 3-2 Measures of Variation - Exercises 3-2 - Page 145: 31

Answer

a. $75\%$ b. $56\%$

Work Step by Step

Chebyshev’s theorem The proportion of values from a data set that will fall within k standard deviations of the mean will be at least $1-1/k^2$, where k is a number greater than 1 (k is not necessarily an integer). The distribution has a mean of 80 and a standard deviation of 10. a. At least what percentage of values will fall between 60 and 100? k=2, $1-1/4=0.75$ or $75\%$ b. At least what percentage of values will fall between 65 and 95? k=1.5 $1-1/1.5^2=0.56$ or $56\%$
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.