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1332.0.55.002 - Statistical Language!, 2008  
Latest ISSUE Released at 11:30 AM (CANBERRA TIME) 27/06/2008  First Issue
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Contents >> Median >> How do you calculate a Median?

HOW DO YOU CALCULATE A MEDIAN?

To calculate the median, line up all the values in the data set from smallest to largest and identify the middle value. If there are even numbers of values, then the median is the average of the middle two values.

For example, let's look at ‘The Widget Company’ and the salaries of its nine employees.

Employment details of 'The Widget Company'

Observation
Position in company
Salary ($)

1
CEO
100 000
2
Manager
60 000
3
Manager
60 000
4
Factory Worker
50 000
5
Factory Worker
50 000
6
Factory Worker
50 000
7
Factory Worker
50 000
8
Trainee
40 000
9
Trainee
40 000


To identify which value in a data set is the median we use the following formula:

Equation: Median

The fifth observation of the data set (when the data set is arranged from lowest to highest) will have the median salary. So the median salary of workers at the ‘The Widget Company’ is $50,000, a good indication of a central value of the salaries.

Diagram: median salary- multiple same values





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