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Mathematics A&I SL internal assessment exemplar (7 achieving)//The mathematics behind income inequality and the Gini coefficient / Understanding which country is best to live in by calculating the Gini coefficient of each country and comparing them. CA$12.12   Add to cart
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Mathematics A&I SL internal assessment exemplar (7 achieving)//The mathematics behind income inequality and the Gini coefficient / Understanding which country is best to live in by calculating the Gini coefficient of each country and comparing them.

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  • Course
  • International Baccalaureate
  • Institution
  • International Baccalaureate

Perfect example to get inspiration from in order to maximise your chance of getting a 7 in maths AI SL. Calculus is the majority of the topic involved.

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  • August 6, 2022
  • 19
  • 2022/2023
  • Essay
  • Unknown
  • A

Subjects

  • math ib
  • mathematics ib
  • math ib internal
  • math internal exemplar
  • math ai sl internal
  • math internal example
  • math application and interpretation sl
  • ib
  • international baccalaureate

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  • International Baccalaureate
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Internal Assessment
Mathematics Applications and Interpretations
Title: The mathematics behind income inequality and the Gini
coefficient
Aim: Understanding which country is best to live in by calculating the
Gini coefficient of each country and comparing them.
Number of pages: 16




1|P ag e

,Table of Contents:


Title Page

Rationale and Introduction 3

Aim 3

Plan 4

The Gini Index and Lorenz Curve 4

How The Gini Index is Calculated 6

Gini Index of Brazil 8

Gini Index of France 16

Gini Index of Portugal 17

Conclusion 18

Reflection 18

Bibliography 19




2|P ag e

, Rationale and Introduction:

Now more than ever, income is held to an extremely high regard, with individuals’ lives being

hugely impacted mainly by the number displayed in their banking account at the end of each

week, month or year. This, naturally, leads to a huge divide as well as massive inequality

amongst people in their given country, which lead me to wonder and research a lot about how

income inequality in different nations affects its people. So, in order to understand it we must

have a measurement of income inequality and inevitably, I landed on the Gini coefficient which

greatly fascinated me thanks to how easily it gives a reading of a country’s income inequality

with just a simple number which tells a massive story about said country.


This helped feed my hunger for more knowledge in the impressive field of economics and

statistics which I always found a fascination in due to their importance in the world we live in

today. Income inequality is an ever growing, sadly inevitable issue which I found an interest in

and would love to explore and learn more about it to possibly contribute one day to help fix it;

and so, I will dive into the economies of Brazil, France and Portugal with the use of the Gini

coefficient as well as the Lorenz curve.


Aim:


For this investigation, I will attempt to understand which of the 3 afore mentioned economies

does the best job at maintaining a small gap in their respective income inequalities by deriving

information from the Lorenz curve and Gini coefficient. This will help us understand which

country would be easier to live in, and suggest a model economy for other countries to possibly



3|P ag e

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