Everyday math
Average calculator
Add each number as a row. The page finds the mean, median, and mode, and explains when each kind of average is the better summary.
What this means
- The mean is 12.333333 and the median is 11.5.
- The mean and median are close, so the values are fairly balanced around the middle.
What if
About this calculator
What this calculator does
It summarizes a list of numbers three ways. The mean is the arithmetic average. The median is the middle value. The mode is the value that appears most often.
How it is calculated
mean = sum of values / count
median = middle value after sorting (average of the two middle values for an even count)
range = largest - smallest
How to read the result
Use the mean when values are balanced. Use the median when a few extreme values would skew the mean, as with incomes or home prices.
Sources and method
Standard arithmetic with no outside data. The formula is shown under How it is calculated, and unit tests check worked examples, including edge cases.
This page uses arithmetic only, with no outside data.
Questions
Which average should I use?
The mean for balanced data, the median when there are outliers, and the mode for the most common value.
Can there be more than one mode?
Yes. If several values tie for most frequent, all of them are listed.
What if no value repeats?
Then there is no mode, and the page says so.
Is this a weighted average?
No. Every number counts once. Use the weighted grade calculator for weights.