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 143: 8

Answer

range=62 $s^2=332.4$ $s=18.2$ $s'=15.5$ The estimate is less than the actual standard deviation.

Work Step by Step

range=max-min=62 variance=332.4 (use definition formula) standard deviation=18.2 (square root of variance) Use the range rule of thumb to estimate the standard deviation. $s'=\frac{range}{4}=15.5$ The estimate is less than the actual standard deviation.
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