Free Sample

Lorenz Curve & Gini Coefficient

Visualise income inequality across countries. Switch between market income and post-tax disposable income to see the effect of redistribution โ€” the key government intervention mechanism at A-Level.

Select a country
Income measure
Theoretical distributions
Perfect equality means every decile earns 10% โ€” the Lorenz curve follows the diagonal exactly. Real distributions always bow below it; the degree of bowing determines the Gini coefficient.
Set each income decile share (must sum to 100%)
Total: 100.0%

What is the Lorenz Curve?

The Lorenz curve, developed by Max Lorenz in 1905, plots cumulative income share against cumulative population share, starting with the poorest. The diagonal from (0,0) to (100,100) is the line of perfect equality โ€” where every decile earns 10%.

The Gini Coefficient

The Gini coefficient is the ratio of the area between the line of equality and the Lorenz curve (area A) to the total area under the line of equality (A+B):

Gini = A รท (A + B) = 1 โˆ’ 2 ร— (area under Lorenz curve)

It ranges from 0 (perfect equality) to 1 (maximum inequality, one person owns everything).

Interpreting Gini values

0.00 โ€“ 0.25 Very low โ€” Nordic countries (Norway 0.27, Denmark 0.29)
0.25 โ€“ 0.35 Low โ€” Western Europe (Germany 0.32, France 0.30)
0.35 โ€“ 0.45 Moderate โ€” UK (0.35), USA (0.41), China (0.49)
0.45 โ€“ 0.60 High โ€” Brazil (0.53), India (0.47), Kenya (0.48)
0.60+ Very high โ€” South Africa (0.63)

Redistribution โ€” the key A-Level mechanism

Market income (before taxes and benefits) is far more unequal than disposable income. In the UK, the market Gini is ~0.52 but falls to ~0.35 after redistribution โ€” a reduction of 17 Gini points. This gap is achieved through:

  • Progressive income tax โ€” higher earners pay a greater % of income
  • Means-tested benefits โ€” Universal Credit, Housing Benefit etc.
  • Universal benefits โ€” Child Benefit, State Pension
  • Benefits in kind โ€” NHS, state education (not captured in income Gini)

Use the "Income measure" toggle in the Countries tab to see this effect for each country.

Limitations โ€” for exam evaluation

  • Two very different distributions can share the same Gini โ€” it doesn't show where inequality occurs
  • Measures income inequality, not wealth inequality (wealth Ginis are typically 0.6โ€“0.8)
  • Doesn't capture absolute living standards โ€” a rising tide may lift all boats even if the Gini rises
  • Difficult to compare across countries with different cost-of-living levels
  • The Lorenz curve can intersect โ€” two countries with the same Gini may have very different distributions

Discussion questions

  • Should governments target reducing the Gini or raising absolute incomes of the poorest?
  • Why might some inequality be beneficial for growth incentives?
  • How do progressive taxes and benefits affect the shape of the Lorenz curve?
  • Why is the UK's market Gini (~0.52) so much higher than its disposable income Gini (~0.35)?
  • What are the social consequences of high inequality beyond income?
Comparison curve
Lorenz Curve
Line of Equality
United Kingdom
Key Inequality Measures
0.350
Gini Coefficient
8.8:1
Top 10% รท Bottom 10%
18.4%
Bottom 40% Share
24.5%
Top 10% Share
Select a country to see interpretation.
Income Share by Decile
Decile Primary share Distribution