Gini Coefficient Rechner — Formel

How to Calculate the Gini Coefficient

Formula

Gini = Sum of all xi - xj / (2 * n^2 * mean)

The Gini coefficient sums all pairwise absolute differences and normalizes. A value of 0 means perfect equality (everyone has the same). A value approaching 1 means extreme inequality (one person has everything). It is the most widely used measure of income inequality.

Lösungsbeispiel

Five incomes: 10, 20, 30, 40, 100.

  1. Mean = (10+20+30+40+100)/5 = 200/5 = 40
  2. Sum of all 25 pairwise |xi - xj| = 440
  3. Gini = 440 / (2 * 25 * 40) = 440 / 2000 = 0.22
  4. This indicates moderate inequality