=AllInOneCalculator

Average (Mean) Calculator

Find the arithmetic mean of a list of numbers. Median, mode, range, min, max, count, and sum are shown alongside as supporting outputs.

Mean (average)
18.00
Count6
Sum108.00
Median15.50
Range38.00
Min4.00
Max42.00
Modenone
Formula: x̄ = Σx ÷ n. Rounded to 2 decimals.
Results update as you type

What this calculator does

This calculator returns the average (arithmetic mean) of any list of numbers and adds the most useful companion statistics — median, mode, range, min, max, count, and sum — so you can see central tendency and spread at a glance without leaving the page.

Formula

Mean: x̄ = (x₁ + x₂ + … + xₙ) ÷ n

Median: middle value of the sorted list (average of the two middle values if n is even).

Mode: the value(s) with the highest frequency.

Range: max − min

Variable definitions

  • xᵢ — Each individual value in your list.
  • n — The count of values.
  • x̄ — The arithmetic mean (average).

Step-by-step calculation

  1. Type or paste your numbers, separated by commas, spaces, or new lines.
  2. The list is parsed into numeric values; non-numeric tokens are ignored.
  3. The sum is computed and divided by the count to get the mean.
  4. The list is sorted to find the median, min, max, and range.
  5. Frequencies are counted to find the mode(s).

Worked example

Values: 4, 8, 15, 16, 23, 42

Sum = 108, n = 6 → Mean = 108 ÷ 6 = 18.

Sorted: 4, 8, 15, 16, 23, 42 → Median = (15 + 16) ÷ 2 = 15.5. Range = 42 − 4 = 38. No repeated value, so there is no mode.

How to use this calculator

  1. Enter your numbers in the input box. Any mix of commas, spaces, or new lines works.
  2. Pick how many decimal places to display.
  3. Read the mean as the headline; check median and mode if the data may contain outliers.

Common mistakes

  • Mixing units: averaging values with different units (e.g. minutes and hours) gives a meaningless number — convert first.
  • Ignoring outliers: a single very large or very small value can pull the mean far from the typical value. Compare with the median.
  • Double counting: pasting duplicate rows accidentally inflates the count. The calculator shows the count so you can verify it.

Frequently asked questions

›What is the average (mean)?

The arithmetic mean is the sum of all values divided by how many values there are. It is the value every item would have if the total were shared equally.

›How is the mean different from the median?

The mean adds and divides — it is sensitive to outliers. The median is the middle value when the data is sorted — it is resistant to outliers. For skewed data (e.g. incomes) the median is often more representative.

›What is the mode?

The mode is the value (or values) that appear most often. A data set can have no mode, one mode, or several. This calculator shows up to five most-frequent values when there is a tie.

›What is the range?

Range = maximum − minimum. It is the simplest measure of spread but is sensitive to a single extreme value.

›Can I enter negative numbers or decimals?

Yes. Use commas, spaces, or new lines to separate values. Decimals, negatives, and mixed separators are accepted.

›How is this different from the Standard Deviation Calculator?

This tool focuses on the average and basic position/spread (mean, median, mode, range). For variance, sample vs. population standard deviation, and step-by-step deviation tables, use the Standard Deviation Calculator.

›How is rounding handled?

All math is done at full double precision. Only the displayed mean, median, and range are rounded to the decimal places you choose.

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Last updated: June 22, 2026 · Checked against standard formulas and sample test cases. All calculations run in your browser at double precision; only the displayed values are rounded.