Statistics: Informed Decisions Using Data (4th Edition)

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

Chapter 3 - Review - Review Exercises - Page 183: 2b

Answer

$R=8550$ $s=3074.9$ $IQR=5954.5$

Work Step by Step

$R=largest~value−smallest~value=14050-5500=8550$ According to the previous question: $x̅=mean=10178.9$ $s=\sqrt {\frac{Σ(x_i−x̅)^2}{n-1}}=\sqrt {\frac{(14050-10178.9)^2+(13999-10178.9)^2+(12999-10178.9)^2+(10995-10178.9)^2+(9980-10178.9)^2+(8998-10178.9)^2+(7889-10178.9)^2+(7200-10178.9)^2+(5500-10178.9)^2}{9-1}}=3074.9$ In ascendind order: 5500, 7200, 7889, 8998, 9980, 10995, 12999, 13999, 14050 $Q_1=\frac{7200+7889}{2}=7544.5$ $Q_3=\frac{12999+13999}{2}=13499$ $IQR=Q_3-Q_1=13499-7544.5=5954.5$
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