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Algebra I: Median
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Median is a measure of central tendency commonly used in statistics and probability.

It is a value in the middle of the distribution, dividing the distribution in such a way that there are an equal number of values above and below it.

In order to find the median for a set of ungrouped values, first, the N values should be ordered in an increasing order. If N is odd, the value at the position (N+1)/2 is the median value. If N is even, the median is the average of the two values at the positions N/2 and N/2 + 1.
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Example:  Find the median for the following list of values: 10, 8, 11, 10, 12, 10, 11, 9, 13
Solution: Median is the middle value, so rewrite the list in ascending order:
                           8, 9, 10, 10, 10, 11, 11, 12, 13
There are nine numbers in the list, so the middle one will be the (9 + 1)/2 = 10/2 = 5th number.
Therefore, median is 10.

Example: Find the median for the following list of values: 13, 18, 14, 13, 13, 16, 14, 21
Solution: First rewrite the list in ascending order:
                          13, 13, 13, 14, 14, 16, 18, 21.
There are eight numbers in the list, so the middle one will be the (8 + 1)/2 = 9/2 = 4.5th number.
So the median will be the average of 4th and 5th number i.e. (14 + 14)/2 = 14.
Therefore, median is 14.

 
   
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