Lorenz Curve – Measuring Income Inequality
Macroeconomics
This diagram shows the Lorenz Curve used to measure income inequality in an economy. It compares the actual distribution of income with a perfectly equal distribution.
Curves and Elements
perfect equality
The 45-degree yellow line represents perfect income equality.
lorenz curve
The blue Lorenz Curve represents the actual distribution of income.
area a
Area A is between the Lorenz Curve and the line of equality, used in calculating the Gini coefficient.
area b
Area B lies below the Lorenz Curve, also used in the Gini coefficient formula.
gini formula
Gini = A / (A + B), measuring income inequality from 0 (equality) to 1 (inequality).
The 45-degree yellow line represents perfect income equality, where each percentage of the population earns an equal share of total income.
The blue curved line is the Lorenz Curve, showing the actual cumulative distribution of income across the population.
Area A is the space between the line of perfect equality and the Lorenz Curve, while area B lies under the Lorenz Curve.
The Gini coefficient is calculated as A / (A + B) and ranges from 0 (perfect equality) to 1 (maximum inequality).
A more bowed-out Lorenz Curve indicates greater inequality, while a curve closer to the line of equality indicates a more equal income distribution.
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