Rayleigh Distribution Calculator

Find the mean, mode and variance of a Rayleigh distribution.

Mean 2.507

Mode 2

Variance 1.717

Formula: mean = σ·√(π/2); mode = σ

Step-by-step with your numbers:

1. Values used:

2. Scale (σ) = 2

4. Mean = 2.507

5. Mode = 2

6. Variance = 1.717

Did we solve your problem today?

The Rayleigh distribution models the magnitude of a two-component vector with normal parts — like wind speed.

The math behind it

mean = σ·√(π/2), mode = σ, variance = (4−π)/2·σ².

σ 2 → mean ≈ 2.51, mode 2.

Where does it appear?

Signal processing, wind-speed modeling and the distance of scattered points.