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 - 3-3 Measures of Variation - Basic Skills and Concepts - Page 111: 42


a)68% b) 99.7%

Work Step by Step

a) By the empirical rule, 68% of the data are within 1 standard deviation of the mean, hence the answer is 68%. b) $|96.34-98.2|=|100.06-98.2|=1.86=3 \ standard \ deviation$, hence by the empirical rule, 99.7% of the data are within 3 standard deviations from the mean, hence the answer is 99.7%.
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