Essentials of Statistics (5th Edition)

Published by Pearson
ISBN 10: 0-32192-459-2
ISBN 13: 978-0-32192-459-9

Chapter 3 - Statistics for Describing, Exploring, and Comparing Data - 3-2 Measures of Center - Page 95: 39

Answer

33.97, the other median is better.

Work Step by Step

The median class here is the 30-39 class, because that contains both the 41st and 42nd data. Hence the lower median class limit is 30. Class width is 10, n=82, m=27, the frequency of the median class is 34. Hence by the given formula $median=30+10\cdot\left(\frac{\frac{82+1}{2}-(27+1)}{34}\right)=33.97.$ The other median is better because it is based on the actual data.
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