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GiniDemonstration Gini Coefficient Demonstration - Income Concentration Distribution Range Income (Y) Income Share (Y) Population Share (X) Cumulative Income Share (Y) Cumulative Population Share (X) |X-Y| Xk+1 – Xk (A) Yk+1 + Yk (B) A*B High concentration Average concentration Small concentration Perfect Equality 2 First R$ 1,200 10% 10% 10% 10% 0% 10% 10% 1% 1 180 1200 1200 1200 1 Perfect Equality 3 Second R$ 1,200 10% 10% 20% 20% 0% 30% 10% 3% 350 1200 1200 1200 2 Small concentration 4 Third R$ 1,200 10% 10% 30% 30% 0% 50% 10% 5% 450 1200 1200 1200 3 Average concentration 5 Fourth R$ 1,200 10% 10% 40% 40% 0% 70% 10% 7% 1200 1200 1200 1200 4 High concentration 6 Fifth R$ 1,200 10% 10% 50% 50% 0% 90% 10% 9% 2300 2300 2300 1200 Perfect Equality 7 Sixth R$ 1,200 10% 10% 60% 60% 0% 110% 10% 11% 4000 3500 2900 1200 8 Seventh R$ 1,200 10% 10% 70% 70% 0% 130% 10% 13% 6500 5000 3500 1200 9 Eighth R$ 1,200 10% 10% 80% 80% 0% 150% 10% 15% 10323 6000 4000 1200 10 Ninth R$ 1,200 10% 10% 90% 90% 0% 170% 10% 17% 15000 7000 4500 1200 11 Tenth R$ 1,200 10% 10% 100% 100% 0% 190% 10% 19% 26000 7500 4500 1200 12,000 100% 100% 0% 100% Gini Coefficient 0.000 Lorenz Curve - 0 Compiled by Rafael Alves Gutierrez Montenegro, Economics Student PUC-SP, Pontifícia Universidade Católica de São Paulo, Brazil Department of Economics rafaelgmt@gmail.com GiniDemonstration Lorenz Curve - 0 Concentration Examples:
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