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How Do You Find the Median of a Data Set?
Find the median of the following data set: 46.4, 29.3, 48.2, 35.1, 46.4, 39.5, 41.3, 25.2.
Summary
- The median is the middle number when the data is put in numerical order
- To find the median, put the numbers in order from least to greatest
- Check or mark off each number to be sure it isn't missed or counted twice
- Since there are an even number of data points, that means there are 2 middle numbers
- When you have an even number of data points, the median is the average of the two middle numbers
- To find the average, just add the two points and divide by 2

Notes
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- To find the median, put the numbers in order from least to greatest
- The number that falls exactly in the middle will be the median!
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- To find the median, let's put the numbers in order from least to greatest
- Mark each number to be sure it isn't missed or counted twice
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- Putting the numbers in order makes it really easy to pick out the median!
- Mark each number to be sure it isn't missed or counted twice
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- 46.4 occurs twice, so we need to write it twice in our list
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- The median is the middle number in the data set
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- Since we can only have one median, we need to find the number that comes right in between 39.5 and 41.3
- The number right in between two numbers is the average of those two numbers
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- Since there are 2 middle numbers, their average is the median of the data set
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- When there are an even number of data points, the average of the 2 middle numbers is the median
- So here the median is the average of 39.5 and 41.3:
- 39.5 + 41.3 = 80.8
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80.8
÷ 2 = 40.4
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- The average of the 2 middle numbers is 40.4, so that's our median!