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Statistics

Laplace Distribution Calculator

Evaluate a symmetric Laplace cumulative probability.

Data stays on this deviceConvention explained below
Probability workspace
Probability workspace

Probabilities range from 0 to 1. Check whether the method gives cumulative or exact-count probability.

See the method

Set model parameters

Runs on your device

Your probability

Your result

Let’s calculate.

Use the Calculate button to see your result.

Review the method below for assumptions and conventions.

How to use this tool

  1. Enter location, scale, value x.
  2. Select Calculate to view the result.
  3. Check the method and assumptions below before using the result.

The method, explained

For z=(x−location)/scale, CDF=0.5exp(z) below the center and 1−0.5exp(−z) above it.

A WORKED EXAMPLE

Using location = 0, scale = 1, value x = 1, the result is 0.816060279. Change these example inputs to match your task; use the method above to check each step.

Understanding your result

Scale is not standard deviation: standard deviation equals scale×sqrt(2). The distribution is also called double exponential.

What to keep in mind

Scale is not standard deviation: standard deviation equals scale×sqrt(2). The distribution is also called double exponential. A descriptive or probability calculation under the stated assumptions. Check the sample design and model before interpreting results.

Common questions

How do I use this laplace distribution calculator?

Evaluate a symmetric Laplace cumulative probability. Enter location, scale, value x. The starting example is editable; use values for the same system or project.

Which assumptions affect this result?

Scale is not standard deviation: standard deviation equals scale×sqrt(2). The distribution is also called double exponential.

Methodology maintained by ClarityKit. How these tools are built and checked.