Elementary Statistics: A Step-by-Step Approach with Formula Card 9th Edition

Published by McGraw-Hill Education
ISBN 10: 0078136334
ISBN 13: 978-0-07813-633-7

Chapter 3 - Data Description - 3-3 Measures of Position - Exercises 3-3 - Page 160: 16

Answer

b.

Work Step by Step

Which score indicates the highest relative position? a. A score of 3.2 on a test with $\bar x$=4.6 and s =1.5, $z=\frac{3.2-4.6}{1.5}=-0.93$ b. A score of 630 on a test with $\bar x$= 800 and s = 200, $z=\frac{630-800}{200}=-0.85$ c. A score of 43 on a test with $\bar x$= 50 and s= 5, $z=\frac{43-50}{5}=-1.40$ As can be seen, the z-score for (b) indicates the highest relative position.
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