Thinking Mathematically (6th Edition)

Published by Pearson
ISBN 10: 0321867327
ISBN 13: 978-0-32186-732-2

Chapter 12 - Statistics - Chapter 12 Test - Page 838: 9


Median = 3

Work Step by Step

The median of a data set is the middle number when the values of the data set are put in order. If there is an odd number of data values, there will be a single middle number. If there is an even number of values, there will not be a distinct middle number. There will be two numbers in the middle of the set. In the case of an even number of data values (like in this set), after the numbers are put in order, we select the two middle numbers. We then add these two numbers and divide the sum by 2. This is our median. Note: The median does not have to be part of the data set. It can be part of the set, but it is not a requirement. Our set: 1, 2, 3, 3, 6, 7 The middle is between the two threes (I have line between the middle numbers. 1 2 3 | 3 6 7 There are 3 values to each side of the line. Take the numbers of each side of the line -- 3 and 3. Add those together: 3 + 3 = 6. Then divide this sum by 2. 6 divided by 2 is 3. This is our median. Our median is 3.
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