Elementary Statistics: Picturing the World (6th Edition)

Published by Pearson
ISBN 10: 0321911210
ISBN 13: 978-0-32191-121-6

Chapter 2 - Descriptive Statistics - Section 2.4 Measures of Variation - Exercises - Page 93: 4

Answer

Variance is the value of standard deviation squared. Neither of these measures can be negative.

Work Step by Step

By definition if your multiply standard deviation by itself it will result in the variance. It is impossible for a squared value to be negative and standard deviation is always above 0
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