## Elementary Statistics (12th Edition)

Published by Pearson

# Chapter 3 - Statistics for Describing, Exploring, and Comparing Data - 3-4 Measures of Relative Standing and Boxplots - Basic Skills and Concepts: 13

#### Answer

De-Fen Yao is taller relative to the population of the same gender.

#### Work Step by Step

The z-scores: Sultan Kosen: $z=\frac{value-mean}{standard \ deviation}=\frac{247-175}{7}=10.29$. De-Fen Yao: $z=\frac{value-mean}{standard \ deviation}=\frac{236-162}{6}=12.33$. De-Fen Yao's z-score is higher, therefore she is taller relative to the population of the same gender.

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