Income Distribution (Cambridge (CIE) A Level Economics): Revision Note

Exam code: 9708

Steve Vorster

Written by: Steve Vorster

Reviewed by: Lisa Eades

Updated on

Inequality

  • Income and wealth inequality are two different concepts

    • Income inequality refers to the unequal distribution (flow) of income to households i.e rent, wages, interest and profit

    • Wealth inequality refers to differences in the amount of assets that households own

  • The two main measures of income inequality are the Lorenz Curve and the Gini coefficient

The Lorenz curve

  • The Lorenz curve is defined as a graphical representation of income distribution showing the cumulative share of total income received by cumulative shares of the population, ranked from poorest to richest

    • The horizontal axis shows the cumulative percentage of the population (0–100%), ranked from lowest to highest income

    • The vertical axis shows the cumulative percentage of total income received by that share of the population

    • The line of perfect equality is a 45-degree diagonal - at every point, x% of the population earns exactly x% of total income

    • The Lorenz curve always lies below the line of perfect equality (except at the endpoints 0,0 and 100,100) - the further it bows away from the diagonal, the greater the inequality

Graph with lines illustrating the Lorenz curves and line of equality, showing income distribution among households, with percentages on both axes.
Lorenz curve for the UK (green line) and Sweden (red line). The income distribution in the UK is more unequal than that of Sweden

Diagram analysis

  • The line of equality represents perfect income distribution

  • Comparing two countries: the country whose Lorenz curve lies closer to the diagonal has the more equal distribution

  • If two Lorenz curves intersect, neither country can be said to have unambiguously greater inequality

    • In the UK the bottom 20% of households receive 5% of the income flow, while in Sweden they receive 9% of the income flow

    • In the UK the top 10% of households receive 45% of the income flow, while in Sweden they receive 25%

    • Sweden has a more equal distribution of income than the UK

The Gini coefficient

  • The Gini coefficient is defined as a numerical measure of income inequality derived from the Lorenz curve, calculated as the ratio of the area between the line of perfect equality and the Lorenz curve to the total area under the line of perfect equality

  • The formula is:

Gini coefficient = A / (A + B)

Graph showing cumulative income distribution with a blue shaded curve marked 'A' and a green area marked 'B', illustrating a Lorenz curve.
How the Gini Coefficient is calculated
  • Where A = area between the line of perfect equality and the Lorenz curve, and B = area below the Lorenz curve

  • The Gini coefficient ranges from 0 to 1

Value

Interpretation

0

  • Perfect equality - every person receives an identical share of income

Closer to 0

  • Relatively equal distribution

Closer to 1

  • Relatively unequal distribution

1

  • Perfect inequality - one person receives all income

  • In practice, Gini coefficients typically range from around 0.25 (highly equal, e.g. Scandinavia) to above 0.60 (highly unequal, e.g. South Africa)

  • A falling Gini coefficient over time indicates that income distribution is becoming more equal; a rising coefficient indicates widening inequality

Limitations of the Gini coefficient

Limitation

Explanation

Single summary statistic

  • Two countries can have identical Gini coefficients but very different distributions

    • The coefficient does not reveal where in the distribution inequality is concentrated

Ignores absolute income levels

  • A country with a low Gini but very low average incomes may have worse absolute poverty than a country with a higher Gini and much higher average incomes

Does not capture wealth inequality

  • Income and wealth distributions often differ significantly

    • The Gini measures income flows, not accumulated assets

Data reliability

  • In low-income economies, income data from household surveys is often incomplete, particularly for informal sector workers and subsistence farmers

Intersecting Lorenz curves

  • When two countries' Lorenz curves cross, a single Gini coefficient cannot determine which country has greater overall inequality

Worked Example

What indicates that a more equal distribution of income has been achieved?

A

A faster rate of economic growth

B

A higher Human Development Index

C

A lower Gini coefficient

D

A lower tax / GDP ratio

Answer: C

The Gini coefficient directly measures income inequality - a lower value means income is more equally distributed, so C is the only option that definitively indicates greater equality

Worked solution

  • Option A is incorrect — faster growth can widen inequality if gains are concentrated at the top, as the Kuznets curve illustrates

  • Option B is incorrect — the HDI measures health, education and income but not distribution; a high HDI can coexist with high inequality

  • Option D is incorrect — a lower tax/GDP ratio generally implies less redistribution, which would tend to increase rather than decrease inequality

Examiner Tips and Tricks

The most common error is confusing the Gini coefficient with the Lorenz curve - the Lorenz curve is the diagram, the Gini is the number derived from it.

Examiners frequently ask students to interpret a change in the Gini over time or compare two countries; always link the direction of change to a specific cause, such as government redistribution policy, wage growth at the top, or changes in tax progressivity.

The strongest evaluation point is that a falling Gini does not necessarily mean poverty has fallen - inequality and absolute poverty are distinct concepts.

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Steve Vorster

Author: Steve Vorster

Expertise: Economics & Business Subject Lead

Steve has taught A Level, GCSE, IGCSE Business and Economics - as well as IBDP Economics and Business Management. He is an IBDP Examiner and IGCSE textbook author. His students regularly achieve 90-100% in their final exams. Steve has been the Assistant Head of Sixth Form for a school in Devon, and Head of Economics at the world's largest International school in Singapore. He loves to create resources which speed up student learning and are easily accessible by all.

Lisa Eades

Reviewer: Lisa Eades

Expertise: Business Content Creator

Lisa has taught A Level, GCSE, BTEC and IBDP Business for over 20 years and is a senior Examiner for Edexcel. Lisa has been a successful Head of Department in Kent and has offered private Business tuition to students across the UK. Lisa loves to create imaginative and accessible resources which engage learners and build their passion for the subject.