The Basic Practice of Statistics 7th Edition

Published by W. H. Freeman
ISBN 10: 1-46414-253-X
ISBN 13: 978-1-46414-253-6

Chapter 2 - Describing Distributions with Numbers - Chapter 2 Exercises: 2.38

Answer

The median of the dataset can be zero. This can only happen if at least half of the points in the dataset are zeroes.

Work Step by Step

An example of a dataset where the mean is close to 8,000 and the median is 0 is as follows: $ 0, 0, 0, 0, 0, 0, 5000, 7700, 12000, 22000, 38000$ There are six data points who have a value of 0, and the other five data points are nonzero numbers. $5000 + 7700 + 12000 + 22000 + 38000 = 84700$ $84700/11 = 7700$ This dataset has a median of 0 and a mean of 7,700 (close to 8,000).
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