Math / CALCULATOR

Median Calculator

Median with transparent assumptions and a worked example.

Sort values numerically to find the center. An odd count has one middle value; an even count uses the average of the two middle values. Unlike the mean, a median is less influenced by extreme observations.

Your calculation

Enter your values below.

Use decimal points. Commas separate numbers, not thousands.

Your calculation is not saved.

Use a decimal point. For single values, enter 1500 rather than 1,500.
YOUR RESULT · Calculating…

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you are.

Enter your values and select Calculate.

Calculated with unrounded values. Display precision follows each result.

THE WORKING

How this calculator works

Sort values numerically to find the center. An odd count has one middle value; an even count uses the average of the two middle values. Unlike the mean, a median is less influenced by extreme observations.

The formula

Odd count: center value
Even count: (two center values) / 2

A quick example

For 1, 3, 7, 9 the median is (3 + 7) / 2 = 5.

How to use this calculator

  1. Enter the labeled values, using a decimal point for fractions.
  2. Check the units and assumptions.
  3. Calculate, review the result and copy it if needed.

A few common questions

How is this result calculated?
Odd count: center value Even count: (two center values) / 2
What assumptions should I check?
Sort values numerically to find the center. An odd count has one middle value; an even count uses the average of the two middle values. Unlike the mean, a median is less influenced by extreme observations.
Can I see a worked example?
For 1, 3, 7, 9 the median is (3 + 7) / 2 = 5.

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