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 - Beyond the Basics: 46

Answer

The sample mean absolute deviation is not an unbiased estimator of the mean absolute deviation of a population.

Work Step by Step

Mean: sum of all values divided by number of values: $mean=\frac{0+1+6+1+0+5+6+5+0}{9}=\frac{8}{3}\ne\frac{22}{3}.$ Hence the sample mean absolute deviation is not an unbiased estimator of the mean absolute deviation of a population.
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