The Lorenz curve portrays Multiple Choice income equality. the functional distribution of income. the personal distribution of income. the ratio of labor to capitalist income.
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The Lorenz curve is a graphical representation used to show the distribution of income or wealth within an economy. It plots the cumulative percentages of total income received against the cumulative number of recipients, starting with the poorest individual or Show more…
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We know that a Lorenz curve plots income versus its distribution to the total population. What value is typically represented as the curve bows away from the 45-degree axis? Select the correct answer below: Income distribution inequality. An increase in income distribution equality. Income accumulates in the higher decile. Population distribution.
Jennifer S.
The Lorenz curve $y=F(r)$ is used by economists to study income distribution in a given country(see Figure 15). By definition, $F(r)$ is the fraction of the total income that goes to the bottom $\mathrm{rth}$ part of the population, where $0 \leq r \leq 1 .$ For example, if $F(0.4)=0.245,$ then the bottom $40 \%$ of households receive $24.5 \%$ of the total income. Note that $F(0)=0$ and $F(1)=1$ Use Exercise $47(\mathrm{c})$ to prove: (a) $F^{\prime}(r)$ is an increasing function of $r$. (b) Income is distributed equally (all households have the same income) if and only if $F(r)=r$ for $0 \leq r \leq 1$.
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Rates of Change
The Gini coefficient is measured by: A. using the formula: the area between the line of perfect equality and the Lorenz curve divided by the area under the line of perfect equality. B. using the formula: the area between perfect inequality and the Lorenz curve divided by the area between the line of perfect equality and the Lorenz curve. C. summing up the total income earned by the population and dividing by the size of the population. D. summing up the cumulative income percentages on the Lorenz curve.
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