# Category:Definitions/Medians

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This category contains definitions related to Medians.

Related results can be found in Category:Medians.

Let $S$ be a set of quantitative data.

Let $S$ be arranged in order of size.

The **median** is the element of $S$ that is in the **middle** of that ordered set.

Suppose there are an odd number of elements of $S$ such that $S$ has cardinality $2 n - 1$.

The **median** of $S$ in that case is the $n$th element of $S$.

Suppose there are an even number of elements of $S$ such that $S$ has cardinality $2 n$.

Then the **middle** of $S$ is not well-defined, and so the **median** of $S$ in that case is the arithmetic mean of the $n$th and $n + 1$th elements of $S$.

## Pages in category "Definitions/Medians"

The following 5 pages are in this category, out of 5 total.