Introductory Statistics 9th Edition

Published by Wiley
ISBN 10: 1-11905-571-7
ISBN 13: 978-1-11905-571-6

Chapter 3 - Section 3.2 - Measures of Dispersion for Ungrouped Data - Exercises - Page 96: 3.39

Answer

a. Range = 26, Variance = 75.64, Standard of Deviation = 8.6971 b. Coefficient of Variation = 35.64% c. The high values of standard deviation indicate that the values of that data set are spread over a larger range around the mean.

Work Step by Step

a. Range = Highest value- Lowest value = 39-13 = 26 Variance = $σ^2=(∑〖(x-μ)〗^2 )/N $ $=[∑(x^2) -∑(x)^2]/10/N$ $=[6710-5953.6]/10$ $=75.64$ Standard Deviation = $\sqrt 75.64= 8.6971$ b. Coefficient of Variation = $8.6971\div24.4 \times100% = 35.64%$
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