5. The Lorenz Curve
• Watch this video to understand what The Lorenz
Curve is all about
6. The Lorenz curve:
The Lorenz curve represents
income distribution. The line of
equality shows what an equal
distribution would look like,
whereas he Lorenz curve shows
the actual distribution.
The greater the degree of the
bow the greater the ……………
………………………………
Annotate your diagram to show x
and y axis.
7.
8.
9.
10. What is the Gini Coefficient:
• Watch this next video to see what the Gini
Coefficient is …
11. What is the Gini Coefficient:
• The Gini coefficient is a numerical value of
inequality in a country.
• The Gini coefficient is a number between 0 and 1.
• This is where 0 corresponds with perfect equality
(where everyone has the same income) and 1
corresponds with perfect inequality (where one
person has all the income—and everyone else has
zero income).
• Have a look here at some of the countries data.
12. How to calculate the Gini Index:
• The Gini Index is defined as a ratio of the areas on the
Lorenz Curve diagram.
• If the area between the Line of Equality and the Lorenz
curve is A, and the area under the Lorenz curve in B,
then the………
• Gini Index = A ÷ (A + B). The higher the coefficient
(number) the more unequal the distribution of income
will be.
• The lower value would give a more balanced
distribution of income.
13. Area A
Area B
To find the area
you count the
complete graph
squares and then
the bisected
squares and then
add them
together.
To check:
A + B is equal to
half the graph
14. Your Turn:
• Using the copy of
page 203 Numerical
and Statistical Skills
that you will find on
Showbie, plot a
Lorenz Curve for the
world distribution of
wealth in 2013.