Mean, Median, Mode Calculator
Type or paste numbers separated by commas or spaces and press Calculate. You get the mean (the average), the median (the middle value), the mode (the value that appears most often) and the range (largest minus smallest). Mean, median and range show up to 4 decimals. If no number appears more than once, Mode says No mode, and if several numbers tie for most often, it lists all of them. Anything that is not a number is skipped and named under the results.
How to use the Mean, Median, Mode Calculator
- Enter your numbers in the Mean, Median, Mode Calculator above.
- Press the Calculate button to see the result.
- To try other numbers, change any value and press the button again.
The four basic statistics
Mean = Σx/n · · · Median = middle value when sorted · · · Mode = most frequent value · · · Range = max − min
For the median the calculator sorts the numbers. With an even count it averages the two in the middle. A number has to appear at least twice to be a mode, so a list where every number appears once has no mode. When two or more numbers share the highest count, the calculator lists each of them, smallest first. One outlier can drag the mean a long way, while the median barely moves.
Worked example
Test scores: 78, 85, 85, 92, 96, 100. Mean = (78+85+85+92+96+100)/6 = 89.3333. Median = (85+92)/2 = 88.5 (average of two middle values). Mode = 85 (appears twice). Range = 100 − 78 = 22.
Frequently asked questions
When is each statistic useful?
Mean: typical value when data is symmetric. Median: typical value when data has outliers. Mode: most likely category in categorical data. Range: quick measure of spread.
Can a dataset have multiple modes?
Yes. With two values tied for most often the data is bimodal, and with three or more it is multimodal. The calculator lists every tied value, so 1, 1, 2, 2, 3 shows a mode of 1, 2. If every value appears once, as in 1, 2, 3, 4, there is no mode and the calculator says No mode.
What if I have only one value?
The mean and the median are that value and the range is 0. The value appears only once, so the calculator shows No mode.