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: 27

Answer

Range:36 years, variance:94.5 years, standard deviation: 9.72 years..

Work Step by Step

Range is the difference of the maximum and minimum of the set: range=36-0=36 years. Calculated by calculator, the mean is: 15.03 years. 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=$\frac{(10-15.03)^2+(29-15.03)^2+...+(23-15.03)^2}{50-1}=94.5$ years. The standard deviation is the square root of the variance: standard deviation=$\sqrt{94.5}=$9.72 years.
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