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: 15

Answer

SAT's z-score is higher, therefore it is relatively better.

Work Step by Step

The z-scores: SAT: $z_{SAT}=\frac{value-mean}{standard \ deviation}=\frac{1490-1518}{325}=-0.086$. ACT: $z_{ACT}=\frac{value-mean}{standard \ deviation}=\frac{17-21.1}{4.8}=-0.854$. The SAT's z-score is higher, therefore it is relatively better.
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