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Median – General Information

English: Comparison of mean, median and mode o...

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Median is numerical value separating the higher half of a sample from the lower half. The median of some variable x is denoted either as \tilde{x} or as \mu_{1/2}(x)\,\!.

An example for median:

To find median of 5, 9, 2, 6, 7 firstly sort by value: 2, 5, 6, 7, 9. The middlest value is median = 6. Other method to find median = [(n+1)/2]th value. (n is the number of values. median=(5+1)/2=3. 3rd value is 6.

If number of values even:

5, 9, 2, 6, 7, 1.  Sort by value: 1, 2, 5, 6, 7, 9. Median is the mean of middlest values: (5+6)/2=5.5 . Other method to find median = [(n+1)/2]th value. (n is the number of values. (6+1)/2=3.5 median is 3rd value + 0.5*|difference between 3rd and 4th value| = 5 + 0.5*(6-5) = 5.5 .

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