Statistics - Arithmetic Median


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Arithmetic Median is a positional average and refers to the middle value in a distribution. It divides the series into two halves by first arranging the items in ascending or descending order of magnitude and then locating the middle value and is denoted by the symbol $\tilde{X}$ or M.

We're going to discuss methods to compute the Arithmetic Median for three types of series:

Individual Data Series

When data is given on individual basis. Following is an example of individual series:

Items510203040506070

Discrete Data Series

When data is given alongwith their frequencies. Following is an example of discrete series:

Items510203040506070
Frequency251312057

Continuous Data Series

When data is given based on ranges alongwith their frequencies. Following is an example of continous series:

Items0-55-1010-2020-3030-40
Frequency251312


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