Short Answer

Calculating Income Share for a Population Segment

An economy's income distribution is represented by a curve composed of straight line segments connecting specific points. On this graph, the x-axis represents the cumulative percentage of the population (from poorest to richest), and the y-axis represents the cumulative percentage of total income. The key points defining the curve are (0,0), (4,0), (90,60), and (100,100). Assuming income is distributed uniformly along the segment between the 4th and 90th population percentiles, calculate the cumulative percentage of total income earned by the bottom 50% of the population. Show your work.

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Updated 2025-08-10

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