✦ Economics & Economic Indicators

Lorenz Curve Calculator

Calculate the area under a Lorenz curve and the implied Gini coefficient from cumulative population and income shares.

Economics referenceFree calculatorGlobal reference

Calculator

Enter the values below. Each quantity identifies its unit or meaning.

Enter shares as decimals from 0 to 1, including 0 and 1
Enter matching cumulative shares from 0 to 1

Result

Calculated from your inputs.

Using the trapezoidal approximation, area = Σ[(Yi + Yi−1)/2 × (Xi − Xi−1)], then Gini = 1 − 2 × area. Use cumulative population and income shares.
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Reference calculation only. Check the assumptions and definitions appropriate to your analysis.

How to use this calculator

What to enter

Enter or select the following as requested: Cumulative population shares; Cumulative income shares. Follow the units, valid ranges, examples, and options displayed beside each field.

What the result means

The economic indicator or model result is calculated from the prices, quantities, income, output, employment, or index values entered. Check the time period, nominal versus inflation-adjusted values, base year, units, data source, and the assumptions used in the economic model.

When to use it

Use this to study economic relationships or compare scenarios. Interpret results in context and use consistent, current data; simplified models do not capture every market or policy factor.