Calculate: Median

November 5, 2008 by  
Filed under How To Calculate, Median

Finding the median in a distribution of integers is relatively easy. When there is an odd number of scores: it is the one left over when counting in from either end. When there are an even number of scores, the median is whatever the middle two scores are (if they are the same) or the halfway point between the middle-most two scores when they differ from each other.

Medians are most often used when distributions are skewed. Indeed, when data is presented in medians, ask about the means. If they are quite different, the distribution is highly skewed, and the sample may not be as representative as you would like.

To calculate the median, arrange the scores in order of magnitude from high to low or from  low to high (it doesn’t matter which one you choose). Select the score in the middle.

Take these number, and arrangement from high to low:

2
9
4
7
8

Here they are arranged in a distribution:

9
8
7
4
2

Find the score in the middle. In the following numbers, the median is 7:

9
8
7
4
2

NOW YOU CHOOSE:
Day 2: Central Tendency
A Bit More About Central Tendency

Even More About Central Tendency
More Examples
More Mean Examples

More Median Examples
Median Is Middle Of Distribution
More Mode Examples
Impact of Outlying Scores
On The Mean
On The Median
On The Mode
How To Calculate Central Tendency
Calculating The Mean
Calculating The Median
When There’s No Middle-Most Score

Calculating The Mode
Formulas For Central Tendency
Basic Facts About Central Tendency
Vocabulary
Quiz 2
Summary