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Inequality and Re-Distribution

Measuring inequality: the Lorenz curve and the Gini coefficient

  • 3 things to know
  • Papers 2 and 3

Overview

The Lorenz curve and the line of equality, reading and plotting cumulative shares, the Gini coefficient, its range and calculating it, interpreting a rising coefficient, disposable against original income, identical coefficients with different distributions, the quintile share ratio and calculating it, wealth against income, and a higher personal allowance.

What you need to know

Answer each one before you reveal it.

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Key term

What does it mean if one country's Lorenz curve lies further from the line of equality than another's?

Numbers

The area between the line of equality and the Lorenz curve is 0.18. Calculate the Gini coefficient.

Key term

A country's Gini coefficient rises from 0.32 to 0.38. Describe what has happened to its income distribution.

Questions from this subtopic

Each one with the model answer underneath.

  1. 1

    What does a Lorenz curve show?

    Model answer

    It plots the cumulative percentage of total income received against the cumulative percentage of the population, with the population ranked from poorest to richest.

  2. 2

    What does the 45° line on a Lorenz curve diagram represent?

    Model answer

    It represents perfect equality, where each percentage of the population receives exactly that percentage of total income.

  3. 3

    What does it mean if one country's Lorenz curve lies further from the line of equality than another's?

    Model answer

    Income is distributed more unequally in that country.

  4. 4

    Where does a Lorenz curve begin and end, and why?

    Model answer

    It runs from the origin to the point where both axes read 100%, because none of the population holds none of the income and all of the population holds all of it.

  5. 5

    Why is a Lorenz curve always bowed below the line of equality?

    Model answer

    The population is ranked poorest first, so each successive group receives at least as large a share as the one before and the cumulative total rises at an increasing rate.

  6. 6

    Define the Gini coefficient.

    Model answer

    The Gini coefficient is the area between the line of equality and the Lorenz curve divided by the whole area beneath the line of equality.

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