Median Definition

Median Concept

Median is a point which divides the ordered data in two equal points. It is fundamental for median calculation that data is in order i.e. data is arranged from lower value to high value. Median can also be defined as point below which 50% order data lies.

Median Formula

Median has two different formulas for two different cases i.e. n/2 integer and non integer.

1)    [{n/2}+1]th observation ( where n/2 is integer

2)    [n+1]/2 th observation  (where n/2 is not integer)

Median & Quin tiles

Median as well as quin-tile may be calculated for large data, typically there are three types of quintiles calculated Q1, Q2, and Q3 which divided the ordered data into 25%, 50% and 75% respectively.

Q1 = [n/4+1] th

Q3 = [3n/4] th observation