lorenz curve how to find cumulative percentage - Economics - Measures of Dispersion

Question

lorenz curve how to find cumulative percentage?

Juhi Grover · Accepted Answer

Lorenz curve is graphical
measure of dispersion that measures the deviation of actual
distribution from the line of equal distribution
To understand the calculation
of cumulative percentage, consider the data given below

Income
100
200
400
500
800

No of
persons
80
70
50
30
20

To calculate the cumulative
percentage values, we first calculate the cumulative frequencies
(by adding the successive values) and then calculate the concerned
percentage values
The cumulative percentage
values for the given data is as follows

Income
Cumulative
Income

Cumulative
Percentage of Income
=C
I/FÃ—100

No of
Persons
Cumulative
Total

Cumulative
Percentage of Totals
=C
F/FÃ—100

100
100
5
80
80
32

200
300
15
70
150
60

400
700
35
50
200
80

500
1200
60
30
230
92

800
2000
100
20
250
100

*Income*	*Cumulative Income*	*Cumulative Percentage of Income* *=C.I/F×100*	*No. of Persons*	*Cumulative Total*	*Cumulative Percentage of Totals* *=C.F/F×100*
100	100	5	80	80	32
200	300	15	70	150	60
400	700	35	50	200	80
500	1200	60	30	230	92
800	2000	100	20	250	100