Cumulative 100% ON
100
ION
TOS
Curative
opulation
Population
Sepustion
The Gini index is defined to be two times the area between the line of perfect equality ly = x) and the Lorenz
curve. (The Lorenz curve shows the percentage of income held by each percentile of the country's population. As
an example, the Lorenz curve would plot a point at (50, 20) if the bottom 50% of the population held 20% of the
country's income.)
1. To the right is a plot of the line of equality
and the Lorenz curve for Brazil. Shade in
Lorenz Curve - Brazil
the area needed to calculate the Gini
-- Brazil Line of Equality Poly. (Brazil)
1.2
index. Then write a definite integral for
y = 7.2526x5 - 14.036x4 + 9.7141x3 - 2.2485x2 +
this area. Then take a picture of your work
0.3183x
and upload it to Gradescope.
0.8
1
0.6
CUmulative Wealth
0.4
0.2
0
0
0.2
0.4
0.6
0.8
1
Cumulative Percentage of the Population