Math

Free Median Calculator

Median, quartiles and range of a list of numbers.

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Inputs

Result

Median

15.0000

Q112.0000
Q322.0000
Range25.0000
Count9

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Short answer

Median, quartiles and range of a list of numbers.

What is the Median Calculator?

Median, quartiles and range of a list of numbers.

How does the Median Calculator work?

Enter the inputs above and read the result.

Formula

Median = middle value of the sorted list

Variables

  • nNumber of values

Explanation

With an even count the median is the mean of the two central values.

Examples

Applications

    Advantages

      Limitations

        Common mistakes

          Tips

            Related concepts

            The Median Calculator sits inside the Math Calculators hub, in the general math cluster. Cross-topic mathematics tools. Understanding the terms below makes the output easier to interpret and easier to compare against neighbouring measures.

            arithmeticformulacalculation

            Practical use cases and industry applications

            Understanding Median

            Median, quartiles and range of a list of numbers. Within math calculators, median belongs to the general math cluster, where it shares terminology and assumptions with closely related tools.

            Learning how median is calculated

            With an even count the median is the mean of the two central values. Working through the variables one at a time — n — makes the result reproducible by hand and easier to sanity-check.

            Using median to make a decision

            Because outputs depend on the assumptions you enter, run more than one scenario before committing to a figure.

            How median compares with related measures

            arithmetic, formula, calculation all describe adjacent aspects of general math. Comparing this calculator's output against those measures — using the related tools listed on this page — prevents a single metric from being read in isolation.

            Frequently asked questions

            Related calculators

            More general math tools

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