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- 8. Four students have yearly incomes of $5,000, $15,000, $20,000, and $60,000. a. Make a table of the Lorenz Curve and use the Trapezoidal Rule with 4 trapezoids to find the area under the Lorenz Curve. Your answer should be correct to 2 places after the decimal point. The area under the Lorenz Curve is b. Use the results of Part a to find the Gini Index. Your answer should be correct to 2 places after the decimal point. The Gini Index is3. Comparing Gini coefficients of different countries Aa Aa The following diagram shows the Lorenz curves for three countries. Country X's Lorenz curve is shown in blue, Country Y's Lorenz curve is shown in red, and Country Z's Lorenz curve is shown in green. Region I is the area above Country X's Lorenz curve and below the 45-degree line. Region II is the area below Country X's Lorenz curve and above Country Y's Lorenz curve. Region III is the area below Country Y's Lorenz curve and above Country Z's Lorenz curve. Region IV is the area below Country Z's Lorenz curve. INCOME (Cumulative percent) 100 80 60 40 20 0 The Gini coefficient for Country Z is given by Couny X 20 Country Y Country Z 11 III 60 IV 40 100 HOUSEHOLDS (Cumulative percent) 80 has the highest Gini coefficient.Q8.4) Formula for Gini Coefficient from Lorenz CurveA / A + BWhat does the A and B represent?
- What is the Lorenz curve and what does it illustrate? Are incomes distributed equally? What would happen if incomes were equal? Why do you think income distribution is so unequal? Identify and explain three reasons.Which of the following Lorenz curves represents the most equal distribution of income?Question One The figure below shows three alternative distributions of land ownership in a village with people and 100 hectares of land. a. Draw the Lorenz curves for each case. 10 points b. For cases I and III, calculate the Girl 10 points c For case il, show on the Lorenz curve diagram how the Gini coefficient can be calculated. 5 points Question One The figure below shows three alternative distributions of land ownership in a village with 10 people and 100 hectares of land. a. Draw the Lorenz curves for each case. b. For cases I and III, calculate the Gini c. For case II, show on the Lorenz curve diagram how the Gini coefficient can be calculate 80 people own nothing 20 people own 5 hectares each 40 people own nothing 40 people own 20 people own 1 hectare each 3 hectares each 100 people own 1 hectare each
- The table shows the distribution of income in the Australia Complete the column of the table that records the cumulative percentages of income in Australia received by the cumulative percentages of households. Cumulative percentage of Income Households Lowest 20 percent (percentage) Households Income 8 Lowest 20 13 Lowest 40 Second 20 percent Third 20 percent 18 Fourth 20 percent 23 Highest 20 percent 38 Lowest 60 Lowest 80 100 100.0 The graph shows the Lorenz curve for the United States Draw the line of equality Draw a point to show the cumulative percentage of income received by the lowest 40 percent of Australian households Label it 1, Draw a point to show the cumulative percentage of income received by the lowest 80 percent of Australian households. Label it 2 Draw the Lorenz curve for Australia. Label it Based on the data provided, which country has the more unequal income distribution? OA Australa OB. Neither. They have the same degree of inequality. OC, The United States OD. It…In Spain what is the divorce rate?Ten college students have accepted job offers for the year after they graduate. Their starting salaries are given here. Organize the data into quintiles and then, using these data, draw the Lorenz curve for this group. Finally, calculate the relevant Gini coefficient. Becky $42000 Billy $20000 Charlie $31000 Kasia $24000 Nina $34000 Raul $37000 Rose $29000 Thomas $35000 Willis $60000 Yukiko $32000 Note:- Do not provide handwritten solution. Maintain accuracy and quality in your answer. Take care of plagiarism. Answer completely. You will get up vote for sure.
- Draw the Lorenz curve and compute the Gini index of a group whose annual incomes (in thousands of dollars) are given by the following frequency table. Value Frequency 30 2 50 4 60 5 90 4 100 3 120 2a) With the following data draw a Lorenz Curve, putting labels on the graph and writing out data point values. Explain what the Lorenz Curve illustrates, and what the results mean. b) Now explain how one gets the Gini Coefficient from the Lorenz Curve, and what information the coefficient provides.Using the above Lorenz Curve, answer the following questions. . . Approximately what percentage of the income does the richest 20% of Country A earn? Approximately what percentage of the income does the poorest 20% of Country B earn? If the government of Country B increased the progressivity of income taxes, would its Lorenz Curve move closer to the 45-degree reference line, closer to Country A's Lorenz Curve, or not move at all?