Mean, Median, Mode Calculator
Find the mean, median, mode and range of a list of numbers, with each step shown.
About the Mean, Median, Mode Calculator
These are the three common “averages”. The mean adds everything and divides by the count; the median is the middle value once sorted; the mode is the value that appears most often. A data set can have no mode, one mode or several.
The formula
Mean = Σx ÷ n; Median = middle value; Mode = most frequent
Worked example
3, 7, 7, 2, 9, 4, 7, 5
- Mean = 44 ÷ 8 = 5.5
- Sorted: 2, 3, 4, 5, 7, 7, 7, 9 → median = (5 + 7) ÷ 2 = 6
- Mode = 7, range = 7
Questions people ask
Which average should I use?
The median for skewed data like incomes; the mean for symmetric data; the mode for categories like shoe sizes.
Can a data set have more than one mode?
Yes. Two values tied for most frequent make it bimodal; if every value appears equally often, there's no useful mode.