## 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 - Page 124: 10

The z scores are -2 and 2, the IQ scores are $31.6 \ cm$ and 41.6 cm$. #### Work Step by Step If a value is unusual, then it is more than two standard deviations far from the mean.$Minimum \ usual \ value=mean-2\cdot(standard \ deviation)=36.6 \ cm-2\cdot2.5 \ cm=31.6 \ cmMaximum \ usual \ value=mean+2\cdot(standard \ deviation)=36.6 \ cm+2\cdot2.5 \ cm=41.6 \ cm$. Therefore the z scores are -2 and 2, the IQ scores are$31.6 \ cm$and 41.6 \ cm$.

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