Average Calculator

Enter a list of numbers to calculate the arithmetic mean, median, mode, range, min, max, and sum instantly.

Statistical clarity for any dataset. Instantly.
Try sample:
Arithmetic Mean (Average)
Awaiting Data InputEnter or paste numbers on the left to compute statistical summary metrics.

Separate numbers with commas, spaces, or line breaks. Handles large datasets with instant precision.

What each statistic measures

Each result answers a different question about your set of numbers.

Formula
StatisticFormulaWhat it answers
Meansum ÷ countFair share if total were distributed equally
Medianmiddle of sorted listMiddle value — unaffected by outliers
Modemost frequent value(s)Most common value — empty when all are distinct
Rangemax − minSpread of the data

Example — [4, 8, 6, 8, 5, 3]

Values
4, 8, 6, 8, 5, 3
Count / Sum
6 / 34
Mean
34 ÷ 6 = 5.667
Sorted
3, 4, 5, 6, 8, 8
Median
(5 + 6) ÷ 2 = 5.5
Mode
8 (appears twice)
Min / Max
3 / 8
Range
8 − 3 = 5

When there is no mode

If every value appears exactly once, no value is more frequent than any other — the mode is undefined. The calculator returns an empty mode list in that case. This is not an error; it accurately reflects the data. A dataset where all values are distinct simply has no mode.

Last reviewed August 2026

Why Use the Average Calculator?

  • Computes mean, median, mode, sum, and range simultaneously
  • No data size limit — handles small lists or hundreds of data points
  • Clearly identifies unimodal, multimodal, or undefined mode states
  • Calculates exact mathematical values without rounding distortions
  • 100% client-side privacy — zero data sent to external servers

Frequently Asked Questions

In everyday use, yes — 'average' almost always refers to the arithmetic mean: the sum of all values divided by the count. This calculator also computes median and mode, which are other types of average. The Mean result is always the arithmetic mean.

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