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When a distribution has an even number of scores, the median is defined as the average of the two middle scores once the distribution is ranked. Consider the following example:
In this ranked distribution, the two middle scores are 3 and 4. If we add these two scores together (their sum equals 7) and divide the sum by 2, the median is 3.5. There are three scores below 3.5 (1, 2, and 3) and three scores above 3.5 (4, 4, and 5). Mean The mean is defined as the arithmetic average. It is the sum of all the scores in a distribution and that sum divided by the number of scores in a distribution. |
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