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Gini Impurity Calculator

Find Gini impurity as one minus the sum of squared class probabilities. Provide Class probabilities to compute results directly in your browser. Use 1-1,000 comma- or whitespace-separated finite numbers, with magnitude at most 1 billion. Each probability must lie in [0,1], summing to one within 1e-9. Not the economic Gini coefficient. Inputs and results use floating-point numbers; output shows up to 12 significant digits. Rounding can occur.

Free to useNo sign-upRuns in your browser
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Enter the inputs, then select Calculate.

Up to 100,000 characters; processed in this browser.

Your result
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Result will appear here

How the Gini Impurity Calculator Works & Core Formula

The Gini Impurity Calculator evaluates Class probabilities in client-side JavaScript using the deterministic rule below and updates the output panel immediately without uploading data to a server.

Find Gini impurity as one minus the sum of squared class probabilities.

Use 1-1,000 comma- or whitespace-separated finite numbers, with magnitude at most 1 billion. Each probability must lie in [0,1], summing to one within 1e-9. Not the economic Gini coefficient. Inputs and results use floating-point numbers; output shows up to 12 significant digits. Rounding can occur.

Concept diagram for Gini Impurity Calculator, showing class probabilities input and the supported output.
Concept diagram; the three operation images are actual browser captures.

Gini Impurity Calculator Quick Reference & Input Guide

Review the input parameters, allowed value ranges, and worked reference cases for the Gini Impurity Calculator below before running your calculation.

Parameter / ScenarioDefault / Sample ValueRule or Allowed RangeOutput / Usage Note
Input: Class probabilities.5, .5Up to 100,000 characters; processed in this browser.Required workspace parameter
Worked Case 1: Baseline run (Class probabilities = .5, .5)Preloaded / test valuesFind Gini impurity as one minus the sum of squared class probabilitiesClass probabilities: .5, .5. The displayed output is 0.5.
Worked Case 2: Comparison scenario (Comparison class probabilities check)Preloaded / test valuesFind Gini impurity as one minus the sum of squared class probabilitiesClass probabilities: .25, .25, .25, .25. The displayed output is 0.75.

Step-by-Step Guide to Using the Gini Impurity Calculator

Follow these three steps to configure Class probabilities, verify unit and boundary rules, and export your Gini Impurity Calculator output.

Enter class probabilities

Enter class probabilities. Up to 100,000 characters; processed in this browser.

Input and settings
Gini Impurity Calculator: input and settings in the implemented browser tool
Actual local browser view. Open the image to read it at full size.

Check the input convention

Class probabilities must sum to one within 1e-9.

Tool result
Gini Impurity Calculator: tool result in the implemented browser tool
Actual local browser view. Open the image to read it at full size.

Calculate and read the output

Select Calculate to see the Gini impurity. Copy result copies this text; Download saves it as a TXT file.

Review the details
Gini Impurity Calculator: review the details in the implemented browser tool
Actual local browser view. Open the image to read it at full size.

Practical Worked Examples for Gini Impurity Calculator

These concrete scenarios illustrate how the Gini Impurity Calculator processes baseline inputs, comparison checks, and boundary constraints.

Baseline run (Class probabilities = .5, .5)

Class probabilities: .5, .5. The displayed output is 0.5.

Abstract input values and a mathematical worksheet.
Start with the values. Concept illustration.

Comparison scenario (Comparison class probabilities check)

Class probabilities: .25, .25, .25, .25. The displayed output is 0.75.

Two calculation examples shown for comparison.
Compare a second example. Concept illustration.

Boundary & unit check (Gini Impurity Calculator)

When solving for 'gini impurity calculator', verify that Class probabilities use consistent units and stay within the documented scope: Use 1-1,000 comma- or whitespace-separated finite numbers, with magnitude at most 1 billion. Each probability must lie in [0,1], summing to one within 1e-9. Not the economic Gini coefficient. Inputs and results use floating-point numbers; output shows up to 12 significant digits. Rounding can occur.

A calculation and supporting explanation represented conceptually.
Explain the calculation. Concept illustration.

How to Read and Verify the Gini Impurity Calculator Output

The output panel reports the exact result derived from Class probabilities alongside any unit or formatting notes.

The result is the Gini impurity. Calculate the impurity of a supplied class-probability distribution.

Numerical output shows up to 12 significant digits. Floating-point arithmetic and display rounding can affect the last digits.

Example input
Class probabilities: .5, .5
Example output
0.5
A mathematical result connected to the values used to calculate it.
Read the result with its inputs. Concept illustration.

Scope Limits, Accuracy Assumptions & Related Everyday Math Tools

Review these boundary constraints and validation rules before relying on the Gini Impurity Calculator output.

Operational scope: Use 1-1,000 comma- or whitespace-separated finite numbers, with magnitude at most 1 billion. Each probability must lie in [0,1], summing to one within 1e-9. Not the economic Gini coefficient. Inputs and results use floating-point numbers; output shows up to 12 significant digits. Rounding can occur. Inputs that violate minimum/maximum bounds or required format rules are rejected with a clear diagnostic prompt.

Need an adjacent calculation in Everyday Math? Use the related tools linked below to chain your workflow without leaving your browser.

Values and units reviewed before relying on a mathematical result.
Check values and units. Concept illustration.

Frequently Asked Questions About Gini Impurity Calculator

Answers about using Gini Impurity Calculator and understanding its results.

What formula or rule does the Gini Impurity Calculator use?

The Gini Impurity Calculator applies the rule: Find Gini impurity as one minus the sum of squared class probabilities. Enter Class probabilities into the workspace and the tool computes the exact output in your browser.

What input parameters and units are required for Gini Impurity Calculator?

Yes. Provide Class probabilities using the documented units and format shown in the quick reference table above. Preloaded default values let you test the workflow immediately.

What are the accuracy limits and boundary assumptions for Gini Impurity Calculator?

Use 1-1,000 comma- or whitespace-separated finite numbers, with magnitude at most 1 billion. Each probability must lie in [0,1], summing to one within 1e-9. Not the economic Gini coefficient. Inputs and results use floating-point numbers; output shows up to 12 significant digits. Rounding can occur. Confirm that your inputs fall within the allowed ranges before exporting the result.

Is the Gini Impurity Calculator free and does it keep my inputs private?

Yes. All calculations for the Gini Impurity Calculator execute 100% locally in your browser's JavaScript runtime. No inputs or results are uploaded to any external server.

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