lorenz curve how to find cumulative percentage?
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/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 |