Mean, Median, Mode Calculator
Find the mean, median, mode and range of a data set at once — enter your numbers and the calculator returns all four measures of center and spread, with the steps.
How to find the mean, median and mode
The mean, median and mode are the three common measures of center, and the range measures spread. This calculator returns all four at once for any list of numbers — no need to switch modes. Just enter your data above.
- Mean — add up the values and divide by how many there are.
- Median — sort the values; the middle one is the median (the average of the two middle values if the count is even).
- Mode — the value that appears most often (a set can have one, several, or no mode).
- Range — the largest value minus the smallest.
mean = Σx ÷ n, median = middle value, mode = most frequent, range = max − min
For 3, 7, 7, 2, 12, 8 the mean is 6.5, the median is 7, the mode is 7, and the range is 10. The mean is pulled by extreme values, while the median is not — which is why median income is often quoted instead of mean income.
When to use each
Use the mean for symmetric data, the median when there are outliers or skew, and the mode for the most common category. For variance and standard deviation, see the variance calculator; for a single measure with more modes and options, the average calculator.
Frequently asked questions
How do I find the mean, median and mode?
The mean is the sum of the values divided by how many there are. The median is the middle value when the numbers are sorted (the average of the two middle ones for an even count). The mode is the value that appears most often. The calculator sorts and computes all three at once, plus the range.
What is the range?
The range is the difference between the largest and smallest value — a quick measure of spread. For 3, 7, 7, 12 the range is 12 − 3 = 9. The calculator reports it alongside the mean, median and mode.
Can a data set have more than one mode?
Yes. A set with two values tied for most frequent is bimodal, and one with several is multimodal; if every value appears once, there is no mode. The calculator lists every value that ties for the highest frequency.