Average Calculator
Summarize an equally weighted numeric list with its arithmetic mean and basic extent. The count, sum, minimum, maximum, and range remain visible so the result can be checked directly.
How to use this calculator
Enter a comma-, space-, or line-separated list of numeric observations.
Review data entry, units, missing values, duplicate observations, outliers, and whether a weighted mean is actually required.
Read arithmetic mean, sum, count, minimum, maximum, and range.
Formula
Arithmetic mean = Σxᵢ ÷ n, where n is the entered count. Minimum and maximum are the smallest and largest entries, and range = maximum − minimum.
Worked example
For 2, 4, 7, and 11, the sum is 24, the count is 4, and the arithmetic mean is 24 ÷ 4 = 6.
Assumptions and limits
- Every entered observation receives equal weight, and blank or nonnumeric values are rejected rather than silently treated as zero.
- Average Calculator treats the entered values as estimates and does not infer missing project, account, or personal details.
- Calculations retain working precision except where the cited method requires an intermediate rounding step; displayed values are then formatted separately. Source rules and dated rates must be rechecked when they change.
Sources
- OpenStax: Introductory Statistics 2eMean, deviation, probability, and binomial-distribution formulas. Reviewed 2026-08-14.
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Verification
How this calculator is checked
Trust comes from reproducible evidence, not model confidence. You can inspect the formula, assumptions, worked example, and cited sources on this page.
- Versioned calculationFormula logic is kept separate from the interface and covered by automated registry and behavior checks.
- Cited evidenceSources linked for independent checking: 1.
- Transparent AI useAI may assist drafting or adversarial review. Agreement between models is not proof, and no human expert review is claimed unless a named reviewer is shown.
Frequently asked questions
How does the Average Calculator work?
Arithmetic mean = Σxᵢ ÷ n, where n is the entered count. Minimum and maximum are the smallest and largest entries, and range = maximum − minimum.
What information should I enter in the Average Calculator?
Enter a comma-, space-, or line-separated list of numeric observations, then verify data entry, units, missing values, duplicate observations, outliers, and whether a weighted mean is actually required.
What should I verify before using this Average Calculator result?
Every entered observation receives equal weight, and blank or nonnumeric values are rejected rather than silently treated as zero.
Last updated 2026-08-25 · mean-and-range-v2 · content-2026-08-14 · Published by YunFanLabs