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Median

The median is defined as the middle score in a ranked distribution of scores. The median is equal to or smaller than half of the terms in a distribution and equal to or larger than half the terms in a distribution. Consider the following distribution of five scores:

Unranked
3
1
4
2
5
Ranked
1
2
3
4
5

In this distribution of five data values, the median is 3 as 3 is the score that divides the distribution into two equal halves. There are two scores above the value 3 (1 and 2) and two scores below the value 3 (4 and 5).

Notice that this distribution has an odd number of scores (i.e., 5 scores).

How would calculation of the median change if the distribution had 6 scores or an even number of scores? When a distribution has an even number of scores, there is no true or actual median. In other words, there is no data value that is larger than half of the distribution and smaller than half of the distribution.

 
 
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