Statistics Calculator

Calculate mean, median and sample or population standard deviation from a list of numbers.

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What is this calculator?

Calculate mean, median and sample or population standard deviation from a list of numbers.

What can you use it for?

Use it when solving an exercise, checking a result, or working with the particular quantities shown in this form. Calculate mean, median and sample or population standard deviation from a list of numbers.

How to use it

  1. Enter values separated by commas.
  2. Select Calculate (or Generate for random tools).
  3. Read the answer and any additional results below the form. Check the units and the limits of the method.

Formula and method

Mean = sum of values ÷ count
Population SD = √[Σ(x − mean)² ÷ n]
Sample SD = √[Σ(x − mean)² ÷ (n − 1)]

The values are sorted to find the median. Population and sample deviation use different denominators.

Worked example

Values separated by commas: 10, 20, 30, 40, 50. The result is 30 (mean (average)).

Assumptions and limits

Inputs and outputs must stay within the supported finite number range. Displayed decimal answers may be rounded.

Frequently asked questions

What inputs does the Statistics Calculator need?

Use values separated by commas. Read the answer and any additional results below the form. Check the units and the limits of the method.

What assumptions apply to the Statistics Calculator?

Inputs and outputs must stay within the supported finite number range. Displayed decimal answers may be rounded.

A little help with the numbers

Smart input · AI explanations when connected