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 - Extending the Concepts - Page 146: 46

Answer

a. 15.8 b. 15.8 c. 15.8 d. 79.1 e. 3.16 f. no change when add or subtract, same factor change when multiple or divide g. same rules apply on mean

Work Step by Step

46. Use this data set: 10, 20, 30, 40, 50 a. Find the standard deviation. 15.8 b. Add 5 to each value, and then find the standard deviation. 15.8 c. Subtract 5 from each value and find the standard deviation. 15.8 d. Multiply each value by 5 and find the standard deviation. 79.1 e. Divide each value by 5 and find the standard deviation. 3.16 f. Generalize the results of parts b through e. no change when add or subtract, same factor change when multiple or divide g. Compare these results with those in Exercise 35 of Exercises 3–1. same effects.
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