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Multiple Choice
The country of Newland has a Lorenz curve where the area between the line of equal distribution and the Lorenz curve is 0.22 and the area below the Lorenz curve is .46. What is the Gini coefficient for Newland?
A
0.22
B
0.32
C
0.46
D
0.68
Verified step by step guidance
1
Understand that the Gini coefficient is a measure of income inequality within a population, ranging from 0 (perfect equality) to 1 (perfect inequality). It is calculated using the Lorenz curve.
Recall that the Gini coefficient is defined as the ratio of the area between the line of perfect equality and the Lorenz curve to the total area under the line of perfect equality.
The total area under the line of perfect equality is 0.5, as it forms a right triangle with the axes.
Given that the area between the line of perfect equality and the Lorenz curve is 0.22, use the formula for the Gini coefficient: Gini = (Area between the line of equality and Lorenz curve) / (Total area under the line of equality).
Substitute the given values into the formula: Gini = 0.22 / 0.5, and simplify to find the Gini coefficient.