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2. Below is the income distribution of the population in the Republic of Coconia in 2019. Quintile Percent Share Lowest 20% 2.4 Second quintile 5.7
2. Below is the income distribution of the population in the Republic of Coconia in 2019. Quintile Percent Share Lowest 20% 2.4 Second quintile 5.7 Third quintile 10.7 Fourth quintile 18.6 Highest 20% 62.6 (a) Carefully graph the Lorenz curve, labelling the axes and the reference points (5 marks) on the curve. (b) Explain how to derive the Gini coefficient graphically. (1 mark) (c) What section of your graph will have to be equal to zero for perfect distribution of income to exist in Coconia? (1 mark) (d) What is the significance of the 45 line? (1 mark) 2. Below is the income distribution of the population in the Republic of Coconia in 2019. Quintile Percent Share Lowest 20% 2.4 Second quintile 5.7 Third quintile 10.7 Fourth quintile 18.6 Highest 20% 62.6 (a) Carefully graph the Lorenz curve, labelling the axes and the reference points (5 marks) on the curve. (b) Explain how to derive the Gini coefficient graphically. (1 mark) (c) What section of your graph will have to be equal to zero for perfect distribution of income to exist in Coconia? (1 mark) (d) What is the significance of the 45 line? (1 mark)
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