Average Calculator

Calculate the arithmetic mean and total for a list of numbers.

Enter your values

Change any field. The result is recalculated on this device.

Formula, example and assumptions
Arithmetic average25

Separate values with commas, spaces or new lines.

Your result

Local calculation
Arithmetic average25

The average shares the total equally across all entered values. Every value has the same weight; the count shows how many were included.

Numbers
10, 20, 30, 40
See how this is calculated

Working with your values

Add, count, then divide

Sum of your values
100
Number of values
4
Sum ÷ count
100 ÷ 4
Average
25

Result breakdown

Sum
100
Count
4
Check the inputs and method

These are your current inputs, not the worked example further down the page.

Numbers
10, 20, 30, 40

Method

Arithmetic mean = (x₁ + x₂ + … + xₙ)/n, where n is the number of entered observations.

Read the worked example and assumptions

How this calculation works

The arithmetic average spreads the sum equally across the number of observations. Use this focused tool when you need the mean, total and count quickly. Every entered occurrence has equal weight; for a typical value resistant to extremes, compare the median in Mean, Median and Mode.

Arithmetic mean = (x₁ + x₂ + … + xₙ)/n, where n is the number of entered observations.

Worked example

This example uses illustrative inputs. Your current result is shown above.

For 10, 20, 30 and 40, the sum is 10 + 20 + 30 + 40 = 100. There are 4 values, so the average is 100 ÷ 4 = 25.

Assumptions and limits

  • Enter at least one finite number; commas, spaces and new lines separate observations.
  • Repeated numbers count as repeated observations, and zero is included rather than treated as missing.
  • All values receive equal weight. Rates with different denominators or groups of different sizes may need a weighted mean.

Questions people ask

Should I remove a zero before averaging?

Only if it is genuinely a missing-data placeholder. A measured zero is an observation and belongs in both the sum and the count.

Can I average two group averages?

Only directly when the groups have equal sizes. Otherwise weight each group mean by its observation count; averaging the two means equally changes the contribution of each underlying observation.

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