Math & Statistics
Mean, Median, Mode & Range Calculator
Updated Sep 3, 2026 Reviewed Sep 3, 2026
Paste a numeric data set to calculate count, sum, mean, median, modes, minimum, maximum, range, quartiles, interquartile range, and sorted observations.
Descriptive statistics
Paste a numeric data set
Result
Calculation summary
Enter values to see the result
Your result, breakdown, assumptions, and warnings will appear here.
Distribution preview
Center and spread
Formula
x̄ = Σx/n; R = xₘₐₓ − xₘᵢₙ
- Mean
- —
- Median
- —
- Range
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How to use this calculator
- 1Paste numbers with common separators.
- 2Choose display precision.
- 3Calculate center, spread, and quartiles.
Formula
mean = Σx / n
Mean uses the sum; median and quartiles use ordered positions; mode uses frequency.
Calculation steps
- Parse up to 1,000 finite observations.
- Sort a copy and calculate center measures.
- Split the sorted data to calculate quartiles.
Worked example
For 1, 2, 2, 5, mean = 2.5, median = 2, mode = 2, and range = 4.
Assumptions
- Every value has equal weight.
- Quartiles use the median-of-halves method.
- All-unique data has no mode.
Sources
Frequently asked questions
Can there be several modes?
Yes, tied highest-frequency values are all returned.
What if every value is unique?
The result reports no mode.
How are quartiles found?
From medians of the lower and upper sorted halves.
Does precision alter results?
No, it changes display rounding only.
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