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Arithmetic Mean

Provide a sequence of numbers — comma or space as separator and read the average along with the sum and the number of elements.

Separate values with a semicolon, space, or comma followed by a space. Decimals may use a point or comma, e.g. 4.5 or 4,5.

Arithmetic mean: —

Fill in the fields above — the result is computed on this page.

How do I use this page?
  1. Fill in the fields in the form above — the result recomputes at once, with no page reload.
  2. Under the result you will find the interpretation scale, if the calculator has one: it says which range your value fell into.
  3. The formula we use is shown lower on this page — you can check the arithmetic yourself.
  4. To compute the same for another game or variant, change it in the select field — prices and pools update automatically.

Further reading

Theory — what is the arithmetic mean?

The arithmetic mean is the simplest measure of the centre of a set of numbers. It is calculated by summing all the values and dividing the result by their count — for grades 4, 5, 3, 5, 4 the sum is 21, and with five elements the average is 4.2. The calculator performs exactly this calculation once numbers separated by commas or spaces are entered, also showing the sum and element count. The result describes typical data well, but a single extreme value can distort it significantly.

Frequently asked questions

How do I calculate the average of grades 4, 5, 3, 5, 4?
The sum is 21, there are five grades, so the average is 4.2. To reach a 4.5 average, this set still needs 1.5 more points in total.
What is the difference between the mean and the median?
The mean divides the sum by the number of elements, the median indicates the middle value. For the set 1, 2, 3, 4, 100 the mean is 22, while the median is only 3.
How many numbers can I enter?
Practically no limit — the calculator handles several thousand entries pasted from a spreadsheet. Empty entries between separators are skipped.
How do I write a decimal number?
Use a point or comma, for example 3.75 or 3,75. Separate consecutive values with a semicolon, space, or a new line.

See also

← All calculators

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