Statistics: Informed Decisions Using Data (4th Edition)

Published by Pearson
ISBN 10: 0321757270
ISBN 13: 978-0-32175-727-2

Chapter 3 - Section 3.2 - Assess Your Understanding - Vocabulary and Skill Building - Page 151: 11

Answer

The range: $R=1537~dollars$ The variance: $s^2=507,013.58~dollars^2$ The standard deviation: $s=712.05~dollars$

Work Step by Step

The costs in ascending order: 1073, 1889, 2529, 2610 $R=largest~data~value-smallest~data~value=2610-1073=1537$ The mean: $x̅=\frac{1073+1889+2529+2610}{4}=2025.25$ The variance: $s^2=\frac{Σ(x_i-x̅)^2}{n-1}=\frac{(1073-2025.25)^2+(1889-2025.25)^2+(2529-2025.25)^2+(2610-2025.25)^2}{4-1}=507,013.58$ The standard deviation: $s=712.05$
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