Mean Median Mode Calculator
Use your own numbers after reviewing the formula and worked example.
Quick answer
Mean uses every value, median is the middle ordered value and mode is the most frequent value.
Formula or method
Keep units, percentages and time periods consistent. The formula is useful as a transparent check on the calculator result and helps explain why changing one input changes the answer.
Step-by-step
- Sort data for the median.
- Calculate the arithmetic mean.
- Find the middle value or average the two middle values.
- Count repeated values for the mode.
Worked example
For 10, 12, 12, 14, 50, mean is 19.6, median is 12 and mode is 12.
How to interpret the result
Median is less affected by extreme outliers; mean uses every value; mode identifies the most common value.
When the answer is used for a purchase, loan, payroll decision, construction order, school grade, health estimate or other real-world choice, verify the assumptions that matter in that context. Accurate arithmetic still depends on accurate inputs.
Common mistakes
- Choosing median from unsorted data.
- Assuming there must be one mode.
- Ignoring outliers when interpreting mean.
Frequently asked questions
Can a data set have no mode?
Yes.
Can it have multiple modes?
Yes.
Which measure is best?
It depends on the data and question.