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Statistics

Binomial Mean and Variance Calculator

Find expected successes and variance for a binomial model.

Data stays on this deviceConvention explained below
Data explorer
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 trials, success probability.
  2. Select Calculate to view the result.
  3. Check the method and assumptions below before using the result.

Input reference and sample values

Use the units and choices shown for each field. Sample values are provided for practice, not as recommendations.

InputFormat and unitsSample
TrialsWhole numbers only. Zero or positive. Maximum: 1000000.20
Success probabilityNumeric value. Zero or positive. Maximum: 1.0.3

Result for these sample inputs

6
Variance
4.2

Select Try the example in the form to load these values and calculate them again. This replaces the current form inputs. Compare the result with the method and worked explanation below.

The method, explained

Mean = np. Variance = np(1 − p).

A WORKED EXAMPLE

Using trials = 20, success probability = 0.3, the result is 6. Change these example inputs to match your task; use the method above to check each step.

What to keep in mind

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.