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Median Calculator

Find the median (middle value) of any list of numbers, with the sorted data and step-by-step explanation.

Enter values

Separate values with commas, spaces or new lines.

Results update as you type.

Result

Median

6

Sorted data
1, 3, 5, 7, 9, 11
Count
6
Step-by-stepShow
  1. Even count (6): median = (value #3 + value #4) ÷ 2 = (5 + 7) ÷ 2 = 6

About the Median Calculator

Find the median (middle value) of any list of numbers, with the sorted data and step-by-step explanation.

Also known as: find the median, middle number, median of numbers, median value.

How to use this calculator

  1. Enter data set.
  2. The result updates instantly as you type — press Calculate (or Enter) at any time.
  3. Open “Step-by-step” to see how the answer was worked out.
  4. Use Copy result or Share to save the answer or send a link with your inputs.

Formula

Odd n: median = x₍₍ₙ₊₁₎/₂₎ · Even n: median = (x₍ₙ/₂₎ + x₍ₙ/₂₊₁₎) / 2

Worked example

Using the values pre-filled in the calculator above:

  • Data set: 7, 3, 9, 1, 5, 11

the calculator returns:

  • Median: 6
  • Sorted data: 1, 3, 5, 7, 9, 11
  • Count: 6

Working

  1. Even count (6): median = (value #3 + value #4) ÷ 2 = (5 + 7) ÷ 2 = 6

Frequently asked questions

Why use the median instead of the mean?

The median is not pulled by extreme values. For incomes or house prices, the median gives a better picture of a "typical" value than the mean.