Lorenz Curve Calculator

Calculate Lorenz curve coordinates showing cumulative income share versus cumulative population share.

Bottom 20% Share (%)

5.0000

Bottom 40% Share (%)15.0000
Bottom 60% Share (%)30.0000
Bottom 80% Share (%)50.0000
Top 20% Share (%)50.0000

Bottom 20% Share (%) vs Income 1 (lowest)

查看公式 →

公式

## 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.

计算示例

Five people earn 10, 20, 30, 40, 100.

  1. 01Total income = 200
  2. 02Bottom 20%: 10/200 = 5%
  3. 03Bottom 40%: 30/200 = 15%
  4. 04Bottom 60%: 60/200 = 30%
  5. 05Bottom 80%: 100/200 = 50%
  6. 06Top 20% earns 100/200 = 50% of total income