A familiar situation
Compare average, middle value, most frequent value, and range for a set of test scores.
How to use this calculator
- Enter values.
- Select Calculate to see the answer and its breakdown.
- Keep a scenario, change an input and compare the results.
Use consistent units and check the assumptions below before applying the result.
How mean, median, mode, range is calculated
The mean adds all observations and divides by the count; the median is the middle sorted observation (or midpoint of two middles); mode is the most frequent value; range is maximum minus minimum. For 2, 3, 3, 8, the mean is 4, median is 3, mode is 3, and range is 6.
Mean=Σx/n; median=center of sorted values; mode=most frequent; range=max−min.For 2, 3, 3, 8, the mean is 4, median is 3, mode is 3, and range is 6.
Assumptions & useful context
The result depends on the values you enter and the method described above. Displayed numbers may be rounded; calculations use the unrounded values. Check that this model matches your situation before relying on it.
Frequently asked questions
Can there be multiple modes?
Yes. All values tied for greatest frequency are returned.
What if every value appears once?
The data have no mode, which is reported explicitly.