The Basic Practice of Statistics 7th Edition

Published by W. H. Freeman
ISBN 10: 146414253X
ISBN 13: 978-1-46414-253-6

Chapter 2 - Describing Distributions with Numbers - Chapter 2 Exercises - Page 70: 2.40c

Answer

More than one choice is possible in (a) but not in (b).

Work Step by Step

Since four repeats of the same number do not vary from each other, any combination of the same four numbers will have a standard deviation of 0. Only one combination of four numbers (0, 0, 10, 10) produces the highest standard deviation of 5.
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