Electronic Proceedings of the Eighth Annual International Conference on Technology in Collegiate MathematicsHouston, Texas, November 1619, 1995Paper C030
Exploring the Gini Index of Inequality with Derive 
Robert A. Leslie
Math Department
Agnes Scott College
Decatur, GA 30030
USA
Phone: (404) 6386434
Fax: (404) 6386177
rleslie@ness.scottlan.edu

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Suppose that X represents the per capita income of a certain region, with
probability density function f(x) for x0 and F(x), the cumulative distribution
function of X, for x0. For each number a in [0,1] the function g(a) is defined
as that fraction of total regional income which is attributable to the poorest (
100alpha)% of the given population. For example, it might be that the poorest
40% of the population garners only 15% of the income.
Keyword(s): Derive, statistics