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: 28

Answer

Range:42, variance:174.5, standard deviation: 13.21.

Work Step by Step

Range is the difference of the maximum and minimum of the set: range=127-85=42. Calculated by calculator, the mean is: 101. The variance is the sum of the differences of each value and the mean on the power of two, divided by the number of values minus 1: variance=$\frac{(96-101)^2+(89-101)^2+...+(124-101)^2}{20-1}=174.5 $. The standard deviation is the square root of the variance: standard deviation=$\sqrt{174.5}=13.21$.
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