The Basic Practice of Statistics 7th Edition

Published by W. H. Freeman
ISBN 10: 1-46414-253-X
ISBN 13: 978-1-46414-253-6

Chapter 2 - Describing Distributions with Numbers - Check Your Skills - Page 67: 2.22


a) $0 \leq x$

Work Step by Step

A standard deviation is the square root of the sum of the variances. Since the sum of the variances is (almost) always greater than 1--and never negative--the standard deviation would be greater than 1 (except for when the sum of the variances is smaller than 1, when the standard deviation would also be less than 1).
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.