Statistics

Shannon Entropy Calculator

Measure uncertainty in a discrete distribution using nonnegative category counts.

Data stays on this deviceConvention explained below
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Data explorer

Check the dataset and sample convention before interpreting results.

See the method

Add your observations

Runs on your device

Your statistical summary

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 category counts.
  2. Select Calculate to view the result.
  3. Check the method and assumptions below before using the result.

The method, explained

Normalize counts to probabilities and compute H=−Σp log₂p, with zero-count terms contributing zero.

A WORKED EXAMPLE

Using category counts = 10, 10, 10, 10, the result is 2. Change these example inputs to match your task; use the method above to check each step.

What to keep in mind

Categories must be mutually exclusive. Entropy measures distribution uncertainty; it does not certify password security or randomness. A descriptive or probability calculation under the stated assumptions. Check the sample design and model before interpreting results.

Common questions

Which inputs does this calculation need?

Measure uncertainty in a discrete distribution using nonnegative category counts. Enter category counts. The filled example is editable and is not a saved personal record.

How should I interpret the result?

Categories must be mutually exclusive. Entropy measures distribution uncertainty; it does not certify password security or randomness. A descriptive or probability calculation under the stated assumptions. Check the sample design and model before interpreting results.

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