Elementary Statistics (12th Edition)

Published by Pearson
ISBN 10: 0321836960
ISBN 13: 978-0-32183-696-0

Chapter 3 - Statistics for Describing, Exploring, and Comparing Data - 3-4 Measures of Relative Standing and Boxplots - Beyond the Basics: 38

Answer

21.6

Work Step by Step

$P_{17}$ is the value where 17 % of the values are smaller than $P_{17}$. 17% of the data here is: $40\cdot0.17=6.8$, therefore $P_{17}$ is the 6th value plus the the difference of the 7th and 6th value 0.8 times: $P_{17}=20+(22-20)\cdot 0.8=6+1.6=21.6.$
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