Probability Distributions

Explore probability distributions with interactive charts, calculations, and sampling tools.

Choose distribution and set parameters

Distribution Family

Bell-shaped distribution, fundamental in statistics

Use cases: Measurement errors, Natural phenomena, Central limit theorem

Parameters

mean

Location parameter (center of distribution)

Scale parameter (standard deviation, must be > 0)

Key statistics for Normal distribution

Central Tendency

Mean:0.0000

Spread

Variance:1.0000

Std Dev:1.0000

Shape

Skewness:0.0000

Kurtosis:0.0000

Entropy:1.4189

Key percentiles of the distribution

1th:-2.3263

5th:-1.6449

25th:-0.6745

50th:0.0000

75th:0.6745

95th:1.6449

99th:2.3263

Statistics Tools