Distribution
Standard Normal
μ = 0 ⋅ σ = 1
Narrow
μ = 0 ⋅ σ = 0.5
Wide
μ = 0 ⋅ σ = 2.0
Shifted Right
μ = 1.5 ⋅ σ = 0.8
Shifted Left
μ = −1.5 ⋅ σ = 0.8
Broad
μ = 0 ⋅ σ = 1.5
Mean μ
μ
0.00
Std Dev σ
σ
1.00
Overlays
σ Bands
CDF
Samples
Sampling
▶ Auto
↺ Reset
Particles sample N(μ,σ²)
and build a histogram below.
Hover to read f(x).
Drag slider to reshape the curve.
μ =
0.00
σ =
1.00
f(μ) =
0.3989
1σ ≈
68.27%
2σ ≈
95.45%
3σ ≈
99.73%
samples =
0