Free Lorenz Curve Calculator
Calculate Lorenz curve coordinates showing cumulative income share versus cumulative population share.
Bottom 20% Share (%)
5.0000
Bottom 20% Share (%) vs Income 1 (lowest)
How to Calculate the Lorenz Curve
Method
1. Sort incomes from lowest to highest 2. Calculate cumulative population share: 20%, 40%, 60%, 80%, 100% 3. Calculate cumulative income share at each point 4. Plot cumulative income share (y) vs. cumulative population share (x)
The 45-degree diagonal represents perfect equality. The Lorenz curve bows below; the area between the diagonal and the curve (relative to the total area below the diagonal) is the Gini coefficient.
Example Calculation
Five people earn 10, 20, 30, 40, 100.
- 01Total income = 200
- 02Bottom 20%: 10/200 = 5%
- 03Bottom 40%: 30/200 = 15%
- 04Bottom 60%: 60/200 = 30%
- 05Bottom 80%: 100/200 = 50%
- 06Top 20% earns 100/200 = 50% of total income
Frequently Asked Questions
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