Mann-Whitney U
Calculate Mann-Whitney U instantly with the exact formula and a worked example.
Mann-Whitney U
n₁
n₂
Rank sum R₁ (sample 1)
U
14
U₁
14
U₂
66
z
-2.31
p-value (two-sided)
0.0209
Conclusion at α = 0.05
Difference is significant
More about: Mann-Whitney U
What it calculates
The “Mann-Whitney U” calculator computes U from 3 parameters: n₁, n₂, rank sum r₁ (sample 1).
A core calculation for studying, engineering tasks, and checking solutions.
Example calculation
With parameters n₁ = 8, n₂ = 10, Rank sum R₁ (sample 1) = 50 the result is 14 (Normal approximation, more accurate for n₁, n₂ ≥ 10).
How to use
- Enter n₁, n₂ and rank sum r₁ (sample 1) — each field above is adjustable with a slider.
- U is calculated automatically as you type.
- Check the worked example below to see the formula applied to real numbers.
- Copy the result or bookmark this calculator.
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FAQ
How is Mann-Whitney U calculated?
The Mann-Whitney U calculator computes U from n₁, n₂, rank sum r₁ (sample 1). Enter your values above and the exact formula is applied instantly; a worked example with real numbers is shown below.
Is the Mann-Whitney U calculator free?
Yes. It is completely free, needs no signup, runs entirely in your browser, and sends no data to any server.
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