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 - Basic Skills and Concepts: 16

Answer

The male has the higher count relative to the sample.

Work Step by Step

The z-scores: Male: $z=\frac{value-mean}{standard \ deviation}=\frac{4.91-5.072}{0.395}=-0.41$. Female: $z=\frac{value-mean}{standard \ deviation}=\frac{4.32-4.577}{0.382}=-0.67$. The male's z-score is higher, therefore it has the higher count relative to the sample.
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