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Lorenz Curve
The Lorenz curve is a graphical tool that provides a visual representation of the inequality in a distribution, such as wealth or income. To construct it, individuals in a population are first arranged in ascending order of the quantity being measured. The curve then plots the cumulative percentage of the population on the x-axis against the cumulative percentage of the total quantity they hold on the y-axis. This visualization was invented in 1905 by American economist Max Lorenz.
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Sociology
Social Science
Empirical Science
Science
Economics
Economy
Introduction to Microeconomics Course
CORE Econ
Introduction to Macroeconomics Course
Ch.2 Unemployment, wages, and inequality: Supply-side policies and institutions - The Economy 2.0 Macroeconomics @ CORE Econ
The Economy 2.0 Macroeconomics @ CORE Econ
Ch.5 The rules of the game: Who gets what and why - The Economy 2.0 Microeconomics @ CORE Econ
The Economy 2.0 Microeconomics @ CORE Econ
Related
The Rich/Poor Ratio
Gini Coefficient
Lorenz Curve
GCIP 2015: Global Consumption and Income Project
An economist is comparing two countries. Country A has a Gini coefficient of 0.28 and a rich/poor ratio of 5 (meaning the richest 10% of the population earn, on average, 5 times more than the poorest 10%). Country B has a Gini coefficient of 0.52 and a rich/poor ratio of 20. Based on these two common statistical tools for summarizing income distribution, what is the most accurate conclusion?
Analyzing Contradictory Inequality Measures
Interpreting Divergent Inequality Measures
Evaluating Intervention in Emerging Technology Standards
Match each measure of societal income inequality with its corresponding description.
Evaluating Single-Number Inequality Measures
An individual must choose between two scenarios that determine a monetary prize for themselves and for another person. If this individual's personal satisfaction is strongly reduced by the good fortune of others, which scenario are they most likely to choose?
- Scenario A: The individual receives $100; the other person receives $500.
- Scenario B: The individual receives $90; the other person receives $50.
Comparing Inequality Measures
A government is launching a new program specifically designed to raise the incomes of the poorest 10% of its citizens. To track the direct impact of this targeted program, policymakers need to select the most sensitive statistical measure. Which of the following would be the most appropriate and direct indicator for assessing the success of this specific policy?
Prevalence of Gini and Rich/Poor Ratio as Inequality Metrics
Over a ten-year period, a country's Gini coefficient decreased from 0.45 to 0.35. Which of the following events provides the most plausible explanation for this change in the income distribution?
Learn After
Max Lorenz
Structure of the Lorenz Curve Graph
Lorenz Curve for Land Ownership in a Hypothetical Village
The Line of Perfect Equality in a Lorenz Curve
Lorenz Curve for Spoils Distribution on the Royal Rover
Using the Lorenz Curve to Compare Pirate and Naval Inequality
Consider two countries, Country X and Country Y. When their respective income distributions are plotted graphically, the curve for Country X is positioned significantly closer to the 45-degree line of perfect equality than the curve for Country Y. Based solely on this information, which of the following statements is the most accurate conclusion?
A small economy has 10 individuals. To analyze its income distribution, their annual incomes are arranged in ascending order: $10,000, $10,000, $20,000, $20,000, $30,000, $40,000, $50,000, $60,000, $80,000, and $100,000. Based on this data, what percentage of the total economy's income is held by the poorest 50% of individuals?
Analyzing an Extreme Case of Wealth Distribution
Evaluating a Policy's Impact on Income Distribution
On a standard graph representing income distribution for a country, the plotted curve runs horizontally along the x-axis from the origin (0% of the population) to the 40% mark, and only then begins to curve upwards. What does this initial flat segment of the curve indicate about the country's economy?
You are given raw income data for every household in a country. Arrange the following steps in the correct sequence to construct a graphical representation of this country's income distribution.
True or False: If a graphical representation of income distribution is constructed by ordering the population from highest income to lowest income (instead of the standard lowest to highest), the resulting curve would lie above the 45-degree line of perfect equality.
Match each description of an income distribution scenario with the corresponding feature on a standard graphical representation of income inequality, where the x-axis represents the cumulative percentage of the population and the y-axis represents the cumulative percentage of total income.
Interpreting Different Shapes of Inequality
On a standard graphical representation of a country's income distribution, the plotted curve passes through the coordinate point where the cumulative share of the population is 80% and the cumulative share of income is 45%. What is the correct interpretation of this point?
Applicability of the Lorenz Curve
Interpretation of the Lorenz Curve Axes and Points
Advantages of the Lorenz Curve for Analyzing Inequality
Evaluating Inequality with the Lorenz Curve