Elementary Technical Mathematics

Published by Brooks Cole
ISBN 10: 1285199197
ISBN 13: 978-1-28519-919-1

Chapter 16 - Cumulative Review - Page 568: 20


The median of the numbers $20.2,27.3,35.1,30.6,29.6\text{ and }22.6$ is $28.5$.

Work Step by Step

Arrange the numbers in ascending order, $20.2,22.6,27.3,29.6,30.6,35.1$ The two middle numbers are $a=27.3$ and $b=29.6$ Since the number of terms are even, the median is the average of the two middle numbers, $\text{median}=\frac{a\text{+}b}{2}$ Therefore, $\begin{align} & \text{median}=\frac{\text{27}\text{.3+29}\text{.6}}{2} \\ & =\frac{\text{56}\text{.9}}{2} \\ & =28.45 \\ & =28.5 \end{align}$ Hence the median of the numbers $20.2,27.3,35.1,30.6,29.6\text{ and }22.6$ is $28.5$.
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