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: 12

Answer

Europe: 20915, 57908917.3, 7609.8 Asia: 26847, 109243268, 10451.95 The Asia set of data is more variable.

Work Step by Step

Europe range, 20915 (max-min) variance, 57908917.3 (use definition formula) standard deviation 7609.8 (take square root of the variance), Coefficient of variance $CVar=s/X=7609.8/34637=0.22$ Asia range, 26847 variance, 109243268 standard deviation 10451.95, Coefficient of variance $CVar=s/X=10452/16326.3=0.64$ The Asia set of data is more variable as it has a larger values of CVar.
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