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Mathematics · Averages

Calculate the arithmetic mean of a list

Paste numbers; the tool sums, counts, and divides. Every observation has weight 1. Min, max, and count sit beside the mean.

Calculate

One number per line, or separate them with semicolons.

How the calculator works

The list is split on new lines or semicolons. A single value is allowed (the mean is then that value). Empty lines are skipped. For credits or volumes as weights, use the weighted-average page.

Formula and method

x̄ = (x₁ + x₂ + … + xₙ) / n

For 10, 20, 30: sum 60, n = 3, mean 20.

US (12.5) and continental (12,5) decimals are both read. The mean is not a median or a mode: an outlier pulls x̄ toward itself. No trimming, no winsorizing.

Worked example

10, 20, 30

10 ; 20 ; 30

  1. Sum = 60.
  2. n = 3.
  3. 60 / 3 = 20.

Mean 20 (min 10, max 30).

Input notes

Values
At least one valid number. Lines that are not numbers are ignored if anything valid remains; an empty list is rejected.

Assumptions and limits

Assumptions

  • Equal weight per observation.
  • You want the arithmetic mean, not a geometric or harmonic mean.

Limits

  • No median, mode, or standard deviation.
  • A typo of 1000 among 10s dominates the mean.

How to read the result

20 is the balance point of 10, 20, and 30. If 10 is a quiz worth 10% and 30 is a final worth 50%, this equal-weight mean is the wrong tool — use weights.

Common mistakes

  • Averaging already-averaged subgroup means without weights.

    If groups have different sizes, use the weighted-average calculator with size as the weight.

  • Treating the mean as a typical value when the list is skewed.

    The mean follows the tail. This page does not compute a median.

Methodology · Sources

Related calculations

Frequently asked questions

How do I separate the numbers?

New lines or semicolons.

Commas inside a number are decimal marks (12,5). Do not use commas as list separators; they would be read as decimals.

Is one number enough?

Yes. The mean of a single value is that value.

n = 1 is allowed. An empty paste is not.

Does this include extra credit or course weights?

No. Every line has weight 1.

Put each grade with its credit hours on the weighted-average page, one pair per line.

Author and update

Written by Rédaction HexaCalc (editorial team). Content last updated: August 25, 2026. No third-party medical or financial review is claimed.

This calculation uses a standard mathematical identity. See also the methodology.

When some values count more

Credits, volumes, or sample sizes belong in a weighted mean, not in an equal-weight list.

Calculate a weighted average

Category: Mathematics