Math & Statistics
Mean, Median, Mode and Range Calculator
Summarize up to five numeric observations with mean, median, range, sample standard deviation, and the most frequent value. The calculator uses mean = Σx ÷ n; sample SD = √(Σ(x − mean)² ÷ (n − 1)). It returns more than one result so you can check the main answer against a useful secondary measure. Mean uses every value, median resists extremes, and standard deviation describes spread around the mean. Five inputs are useful for quick checks but do not replace analysis of a full dataset.
Check the displayed units, assumptions, and rounding before relying on the result.
Calculate and compare
Use the number box for precision or the slider for fast scenario testing.
Scenario results
Mean
9
Arithmetic average.
Median and range
7 / 14
Middle value / maximum minus minimum.
Sample SD
5.3385
Mode: 7.
How the calculation works
Use consistent units and retain full precision until the final display step.
Worked example
Reproduce the displayed scenario, then change one assumption at a time.
Assumptions behind the result
- • Inputs use the units shown beside each control.
- • The displayed formula is applied without hidden market or demographic data.
- • Rounding occurs only for display; calculations keep full numeric precision.
- • Mean uses every value, median resists extremes, and standard deviation describes spread around the mean.
- • Five inputs are useful for quick checks but do not replace analysis of a full dataset.
Mistakes that change the answer
- • Mixing percentages with decimals or mixing incompatible units.
- • Relying on a rounded intermediate value instead of the full result.
- • Changing several assumptions at once instead of testing value 1 separately.