Median Calculator
Online calculator to calculating the median (middle value) of a data series
On this page the median of a series of numbers is calculated.
To perform the calculation, enter a series of numbers. Then click the 'Calculate' button. The list can be entered unsorted.
Input format
The data can be entered as a series of numbers, separated by semicolons or spaces. You can enter the data as a list (one value per line). Or from a column from Excel spreadsheet by copy & paste
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In statistics the median is the value separating the higher half from the lower half of a data series. The median is the middle value of a sorted list.
Example
\(\displaystyle 1, 3,\color{#44F}{\underline{5}},7,9 \)
In the example above, the middle value is 5.
If the number of values is odd, the middle number is the median.
For example with the unordered list
\(7, 9, 12, 1, 3, 2, 14 \)
7 is the median, because this value is in the middle of the ordered list.
\(1, 2, 3, \color{#44F}{\underline{7}}, 9, 12, 14\)
If the number of values is even, the median is defined as the arithmetic mean of the middle two numbers. For example with the unordered list
\( 7, 9, 12, 1, 3, 2, 14, 8\)
the value 7.5 is the median, because the two values 7 and 8 are in the middle of the ordered list.
\(1, 2, 3, \color{#44F}{\underline{7,8}}, 9, 12, 14\)
With the values
\(1,2,6,9\)
the value 4 is the median, because 4 is the mean between the two values 2 and 6.
\(1, \color{#44F}{\underline{2,6}},9\)
More statistics functions
Arithmetic Mean • Contraharmonic Mean • Covariance • Empirical distribution CDF • Deviation • Five-Number Summary • Geometric Mean • Harmonic Mean • Inverse Empirical distribution CDF • Kurtosis • Log Geometric Mean • Lower Quartile • Median • Pooled Standard Deviation • Pooled Variance • Skewness (Statistische Schiefe) • Upper Quartile • Variance
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