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 - 3-2 Measures of Variation - Extending the Concepts - Page 146: 44

Answer

mean=34.5 standard deviation=13.3 $93\%$ of the data fall within 2 standard deviation. Chebyshev’s theorem predicts that at least $75\%$ of the data fall within 2 standard deviation. For this case, Chebyshev’s theorem worked a little better than the previous question, but still far away from the true value.

Work Step by Step

mean=34.5 standard deviation=13.3 Range within 2 standard deviation: 7.9 to 61.1 contains 28 out of 30 data points, $93\%$ Chebyshev’s theorem predicts that at least $75\%$ of the data fall within 2 standard deviation. For this case, Chebyshev’s theorem worked a little better than the previous question, but still far away from the true value.
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