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: 43

Answer

75%, 150, 410

Work Step by Step

75% of the values are within 2 standard deviations from the mean according to Chebyshev's theorem, hence . $Minimum=mean-2\cdot(standard \ deviation)=280-2\cdot65=150$ $Maximum=mean+2\cdot(standard \ deviation)=280+2\cdot65=410$.
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