Average Calculator
Find the average (mean) of a list of numbers, plus the median, mode, range and other averages.
About the Average Calculator
“Average” usually means the arithmetic mean: add the numbers and divide by how many there are. The median is the middle value when sorted and isn't pulled by extreme values, which is why it's used for house prices and incomes.
The geometric mean suits growth rates and ratios; the harmonic mean suits averages of rates such as speeds over equal distances.
The formula
Mean = (x₁ + x₂ + … + xₙ) ÷ n
- Median
- middle value; mean of the two middle values when n is even
- Mode
- the most frequent value(s)
Worked example
12, 15, 18, 22, 22, 30
- Sum = 119, n = 6
- Mean = 19.83, median = 20, mode = 22
Questions people ask
Mean or median: which should I use?
Use the median when there are outliers (one huge value), the mean otherwise.
How do I average percentages?
Only add them directly if they're out of the same total; otherwise weight each by its total.