Statistics · JSS 2, SS 2

Median

Find the middle value, which isn't pulled up or down by extreme values.

  • Median position = n + 12th value (data in order)

What the letters mean

n
how many values there are

Worked example

Find the median of 3, 5, 7, 8, 12, 13.

  1. Step 1: Position

    6 + 12 = 3.5, so halfway between the 3rd and 4th values

  2. Step 2: 3rd = 7, 4th = 8

    Median = 7 + 82 = 7.5

Final answer: 7.5

Always arrange the data in order first.

See it

Play with this picture from the Mean, Median and Mode lesson.

median 2012345678910mean 2

Tap a value to change it. Put them in order to find the middle:

Value 12

Mean

2

10 ÷ 5

Median

2

the middle one

Mode

2

most common

Range

5

5 − 0