Basic Statistics: Tales of Distributions 10th Edition

Published by Cengage Learning
ISBN 10: 0-49580-891-1
ISBN 13: 978-0-49580-891-6

Chapter 4 - Exploring Data: Variability - Problems - Page 61: 4.6

Answer

a. The standard deviation is lower when the scores are closer together b. The mean is also lower when the scores are closer together.

Work Step by Step

The standard deviation of a. is 1.87 and the standard deviation of c. is 1.68. The standard deviation of a. is larger than the standard deviation of c. This means that the scores in set a. are more spread out than the scores in set c. The mean of a. is 5 and the mean of c. is 104.5. The mean of a. is much smaller than the mean of c. This means that the scores in set a. are much lower than the scores in set c.
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