# Numerical Measures of Central Tendency and Variability

## Measures of Central Tendency

### Median

The *median *is also a frequently used measure of central tendency. The median is the midpoint of a distribution: the same number of scores is above the median as below it. For the data in Table 1, there are scores. The 16th highest score (which equals ) is the median because there are scores below the score and scores above the score. The median can also be thought of as the percentile.

##### Computation of the Median

When there is an odd number of numbers, the median is simply the middle number. For example, the median of , , and is . When there is an even number of numbers, the median is the mean of the two middle numbers. Thus, the median of the numbers is . When there are numbers with the same values, then the formula for the third definition of the percentile should be used.