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 - 3-1 Measures of Central Tendency - Extending the Concepts - Page 126: 37

Answer

a. $25.5\%$ b. $5.7\%$ c. $8.4\%$

Work Step by Step

a. Use the geometric mean formula: geometric mean growth rates=$\sqrt[3] {135\times124\times118}-100=125.5-100=25.5$ percent b. geometric mean raises in salary=$\sqrt[4] {108\times106\times104\times105}-100=105.7-100=5.7$ percent c. geometric mean stock increase=$\sqrt[5] {110\times108\times112\times109\times103}-100=108.4-100=8.4$ percent
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