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Analyze the relationahisp between a country's Gini coefficient and its Lorenz curve.

Question

Analyze the relationship between a country's Gini coefficient and its Lorenz curve.

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Solution

The Gini coefficient and the Lorenz curve are both tools used in economics to measure income inequality within a country.

  1. The Lorenz Curve: This is a graphical representation of income or wealth distribution. It plots the cumulative income of a population (on the y-axis) against the cumulative percentage of the population (on the x-axis). The line at 45 degrees represents perfect equality (where everyone has the same income). The Lorenz curve lies beneath this line, and the greater the deviation from the line of equality, the greater the inequality.

  2. The Gini Coefficient: This is a numerical measure of income inequality ranging from 0 to 1, where 0 represents perfect equality and 1 represents perfect inequality. It is calculated as the ratio of the area between the line of equality and the Lorenz curve to the total area under the line of equality.

The relationship between the Gini coefficient and the Lorenz curve is direct. The Gini coefficient is derived from the Lorenz curve, and they both measure the same concept - income inequality. The Lorenz curve provides a visual representation, while the Gini coefficient provides a

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