Lorenz Curve Calculator — सूत्र
## 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.
### 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.
हल किया गया उदाहरण
Five people earn 10, 20, 30, 40, 100.
- Total income = 200
- Bottom 20%: 10/200 = 5%
- Bottom 40%: 30/200 = 15%
- Bottom 60%: 60/200 = 30%
- Bottom 80%: 100/200 = 50%
- Top 20% earns 100/200 = 50% of total income