Average Calculator
Find the arithmetic mean, median, sum and range of a list of numbers.
Your result
MATHEnter your values and select calculate.
On this page How it works & practical examples
How to use the Average Calculator
Separate numbers with commas, spaces, semicolons or new lines. Each number receives equal weight, including repeated values. The median is the middle value after sorting; with an even number of observations, it is the average of the two middle values. Comparing mean and median helps you notice when one unusually large or small observation is pulling the mean away from a typical value.
The calculation
Worked example
For 10, 20, 30, 40 and 50, the sum is 150, the mean is 30 and the median is 30. The range is 40.
Assumptions and limits
This is not a weighted average. Repeated observations count separately rather than being deduplicated. Empty entries at the ends are ignored, but words and non-finite numbers are rejected. Up to 1,000 observations between negative and positive one trillion are supported. For large numerical ranges, results should be treated with the usual floating-point precision limits.
Common questions
Do repeated numbers count?
Yes. A list of 1, 1 and 4 has three observations, a mean of 2 and a median of 1.
When should I use the median?
The median can better describe a typical observation when a distribution is skewed or contains outliers, though it answers a different question from the mean.