---
title: "The median"
canonical: "https://modelassist.epixanalytics.com/space/EA/26574924/The%20median"
format: markdown
---
#### The median X<sub>50</sub>   


 

The median is the value that the variable has a 50% probability of exceeding, i.e.:

 

            F(X<sub>50</sub>) = 0.5

 

An interesting property of unimodal probability distributions relates the [relative positions](https://epixanalytics.atlassian.net/wiki/spaces/EA/pages/26575498/) of the mean, mode and median. If the distribution is right (positively) skewed, these three measures of central tendency are positioned from left to right: mode, median, and mean. Conversely, a unimodal left (negatively) skewed distribution has them in the reverse order. For a unimodal, symmetric distribution the mode, median and mean are all equal.

 

 

 

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