2. The following is the income distribution of South Africa by quintiles in 2000. Draw the Lorenz curve and calculate Gini Coefficient using this data. Basing on the Lorenz curve and Gini coefficient for South Africa, make your remarks. Quintile 1st 2nd 3rd 4th 5th South Africa 3.1 5.6 9.9 18.8 62.7
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Step 1
First, we need to calculate the cumulative percentage of the population and the cumulative percentage of income for each quintile. Quintile | % of Population | % of Income | Cumulative % of Population | Cumulative % of Income --- | --- | --- | --- | --- 1st | 20 Show more…
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Use the following table to work Problems 11 to 13 The table shows shares of income in Australia. $$\begin{array}{lc} \begin{array}{l} \text { Households } \\ \text { (quintile) } \end{array} & \begin{array}{c} \text { Income share } \\ \text { (percentage of total) } \end{array} \\ \hline \text { Lowest } & 7 \\ \text { Second } & 13 \\ \text { Third } & 18 \\ \text { Foourth } & 24 \\ \text { Highest } & 38 \end{array}$$ Draw the Lorenz curves for the income distribution in Australia and in Brazil and South Africa (use the data in Fig. 19.6 on $\mathrm{p} .491$ ). Is income distributed more equally or less equally in Brazil and South Africa than in Australia?
Income distribution. Find the Gini index of income con. centration for the Lorenz curve with equation $$y=x^{2} e^{x-1}$$
Additional Integration Topics
Integration by Parts
Income distribution. Find the Gini index of income concentration for the Lorenz curve with equation $$y=x e^{x-1}$$
Adi S.
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