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Area of Loren Curve

This function as in illustrated figure area between A and B is termed as a/an: (1) index of inequality. (2) Lorenz curve. (3) Pareto indicator. (4) Gini coefficient. (5) Marx-Engels curve.

1878_Lorenz Curves and Gini Coefficients.png

Can anybody suggest me the proper explanation for given problem regarding Economics generally?

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