Statistics & Probability
Basic

Median

The middle value separating the higher and lower halves.

Formula

M=middle value of ordered dataM = \text{middle value of ordered data}

Variables

x_iOrdered data values

Example

For 3, 1, 4, 1, 5 sorted to 1, 1, 3, 4, 5, the median is the middle value, 3.

Did You Know?

The median resists outliers: one billionaire walking into a room barely moves it, but wrecks the mean.