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: 3.36

Answer

a. Range = 23, Variance = 45.6079, Standard Deviation = 6.7534 b. Coefficient of Variation = 22.62%

Work Step by Step

a. Range = Highest Value - Lowest Value = 42-19=23 Variance = $σ^2=(∑〖(x-μ)〗^2 )/n-1 $ $=[∑(x^2) -∑(x)^2]/N/n-1$ $=[18687-(597^{2}/20)/19]$ $=(18687-17820.45)/19$ $=45.6079$ Standard Deviation = $\sqrt45.6079 = 6.7534$ b. Coefficient of Variation=$6.7534\div29.85\times100% =22.62%$
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