An hypothetical income distribution in a population of 20 individuals

Tab. Distribution 1

Individuals / Personal Income / Share of total income
Quintili Decili / Cumulative share
( %) of population / Cumulative share (%) of income
1 / 0.8
2 / 1.0 / 1.8 / 10 / 1.8
3 / 1.4
4 / 1.8 / 5 / 3.2 / 20 / 5.0
5 / 1.9
6 / 2.0 / 3.9 / 30 / 8.9
7 / 2.4
8 / 2.7 / 9 / 5.1 / 40 / 14.0
9 / 2.8
10 / 3.0 / 5.8 / 50 / 19.8
11 / 3.4
12 / 3.8 / 13 / 7.2 / 60 / 27.0
13 / 4.2
14 / 4.8 / 9.0 / 70 / 36.0
15 / 5.9
16 / 7.1 / 22 / 13.0 / 80 / 49.0
17 / 10.5
18 / 12.0 / 22.5 / 90 / 71.5
19 / 13.5
20 / 15.0 / 51 / 28.5 / 100 / 100
Total / 100 / 100 / 100

1) Below create a tab for the necessary data (quintile only) and draw the Lorenz Curve for distribution 1 (indicating the variables on the axis)

2) Below show the data and draw the Lorenz Curve for a new distribution where all individuals have an income of five

3) Below create a tab for the necessary data (quintile only) and draw the Lorenz Curve for a new distribution where there is a transfer of 10 from the richest group to the fourth quintile

4) Below create a tab for the necessary data (quintile only) and draw the Lorenz Curve for a distribution where there is a transfer of 5 from the Fourth quintile to the fifth

(5) How would the Lorenz curve change if with distribution 1 there were 40 individuals in each quintile (population 200) …or if each individual had an income 10 times higher than in distribution 1 ?

Source: OECD Shifting Wealth