Statistics: Informed Decisions Using Data (4th Edition)

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

Chapter 3 - Review - Test - Page 186: 9

Answer

$Q_1=5.58~grams$ $Q_2=5.60~grams$ $Q_3=5.6625~grams$ 25% of the quarters have a weight $\leq5.58~grams$ and 75% have a weight $\gt5.58~grams$ 50% of the quarters have a weight $\leq5.60~grams$ and 50% have a weight $\gt5.60~grams$ 75% of the quarters have a weight $\leq5.6625~grams$ and 25% have a weight $\gt5.6625~grams$ Outlier: 5.84 grams

Work Step by Step

In MINITAB, enter the weights in C1. Select Stats -> Basic Stas -> Display Descriptive Statistics In Variables enter C1 and click in Statistics. Select "First quartile", "Median", "Third quartile" and "Interquartile range". Click OK. Click Ok. $Q_1=5.58$, $Q_2=median=5.60$, $Q_3=5.6625$ and $IQR=0.0825$ $Lower~Fence=Q_1-1.5(IQR)=5.58-1.5\times0.0825=5.45625$ $Upper~Fence=Q_3+1.5(IQR)=5.6625+1.5\times0.0825=5.78625$ There is no value less than 5.45625. But, there is 1 value above 5.70375: 5.84
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