Concentration and location measures

In an agricultural country, a group of 100 land barons is possessing 46% of the total area. A group of 170 farmers is owning 27% of the total area. The residual of the total area is apportioned to 1240 peasants.

1. Determine and draw the Lorenz curve. Compute and interpret the (normalised) Ginicoefficient.

2. Assume that within(sic!) each group each land baron, farmer and peasant is owning the same area. Compute the mean value of the percentage proportion of the total area per person.

(Remark: Please round all results and intermediate results to 4 decimal places.)