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: 10

Answer

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. $Minimum \ usual \ value=mean-2\cdot(standard \ deviation)=36.6 \ cm-2\cdot2.5 \ cm=31.6 \ cm$ $Maximum \ usual \ value=mean+2\cdot(standard \ deviation)=36.6 \ cm+2\cdot2.5 \ cm=41.6 \ cm$. Therefore the z scores are -2 and 2, the IQ scores are $31.6 \ cm$ and 41.6 \ cm$.
Update this answer!

You can help us out by revising, improving and updating this answer.

Update this answer

After you claim an answer you’ll have 24 hours to send in a draft. An editor will review the submission and either publish your submission or provide feedback.