A diagram illustrating income distribution shows a line of perfect equality and a Lorenz curve. The area between the line of perfect equality and the Lorenz curve is calculated to be 0.20. The area under the Lorenz curve is calculated to be 0.30. Based on this information, what is the Gini coefficient?

Comparing Income Inequality

Calculating the Gini Coefficient from Lorenz Curve Data

A country implements a new, highly effective progressive tax system where income is collected from the highest earners and redistributed to the lowest earners. How would this change in income distribution affect the country's Lorenz curve and its corresponding Gini coefficient?

In a standard Lorenz curve diagram, a Gini coefficient of 0.4 implies that the area between the line of perfect equality and the Lorenz curve is 0.4.

In a standard Lorenz curve diagram, the area between the line of perfect equality and the horizontal axis is divided into two distinct regions by the Lorenz curve. Let 'Area A' be the region between the line of perfect equality and the Lorenz curve, and 'Area B' be the region under the Lorenz curve. Match each conceptual term with its correct mathematical or geometric representation based on this diagram.

Calculating Area Under the Lorenz Curve

In a standard Lorenz curve diagram, the total area of the triangle formed by the line of perfect equality and the axes is 0.5. If a country's Gini coefficient is 0.3, the area under its Lorenz curve must be ____.

Critique of a Gini Coefficient Calculation

Analyzing a Country's Income Distribution Report

Relationship Between Shaded Area, Gini Coefficient, and Inequality