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Income inequality: Gini coefficient, 2022 The Gini coefficient measures inequality on a scale from 0 to 1. Higher values indicate higher inequality. Depending on the country and year, the data relates to income measured after taxes and benefits, or to consumption, per capita. Our World in Data Table Map Chart Play time-lapse 1963 No data 0.3 0.35 0.4 0.45 0.5 0.55 Data source: World Bank Poverty and Inequality Platform (2023) - Learn more about this data Note: Income and consumption estimates are available separately in this Data Explorer. OurWorldInData.org/economic-inequality | CC BY ་ → World 2022 Explore the data → If y = f(x) is the equation of a Lorenz curve (In a Lorenz curve the variable a represents the cumulative percentage of families at or below a given income level, and y represents the cumulative percentage of total family income received), then Gini Index = 2 f₁² [x — f (x)] dx. - The Gini Index is always a number between 0 (absolute equality in income) and 1 (absolute inequality in income) as shown in the applet above. For this discussion, find the Gini Index of income concentration for f (x) = x³.8.

Income inequality: Gini coefficient, 2022 The Gini coefficient measures inequality on a scale from 0 to 1. Higher values indicate higher inequality. Depending on the country and year, the data relates to income measured after taxes and benefits, or to consumption, per capita. Our World in Data Table Map Chart Play time-lapse 1963 No data 0.3 0.35 0.4 0.45 0.5 0.55 Data source: World Bank Poverty and Inequality Platform (2023) - Learn more about this data Note: Income and consumption estimates are available separately in this Data Explorer. OurWorldInData.org/economic-inequality | CC BY ་ → World 2022 Explore the data → If y = f(x) is the equation of a Lorenz curve (In a Lorenz curve the variable a represents the cumulative percentage of families at or below a given income level, and y represents the cumulative percentage of total family income received), then Gini Index = 2 f₁² [x — f (x)] dx. - The Gini Index is always a number between 0 (absolute equality in income) and 1 (absolute inequality in income) as shown in the applet above. For this discussion, find the Gini Index of income concentration for f (x) = x³.8.

Linear Algebra: A Modern Introduction
Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter3: Matrices
Section3.7: Applications
Problem 44EQ
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Income inequality: Gini coefficient, 2022 The Gini coefficient measures inequality on a scale from 0 to 1. Higher values indicate higher inequality. Depending on the country and year, the data relates to income measured after taxes and benefits, or to consumption, per capita. Our World in Data Table Map Chart Play time-lapse 1963 No data 0.3 0.35 0.4 0.45 0.5 0.55 Data source: World Bank Poverty and Inequality Platform (2023) - Learn more about this data Note: Income and consumption estimates are available separately in this Data Explorer. OurWorldInData.org/economic-inequality | CC BY ་ → World 2022 Explore the data → If y = f(x) is the equation of a Lorenz curve (In a Lorenz curve the variable a represents the cumulative percentage of families at or below a given income level, and y represents the cumulative percentage of total family income received), then Gini Index = 2 f₁² [x — f (x)] dx. - The Gini Index is always a number between 0 (absolute equality in income) and 1 (absolute inequality in income) as shown in the applet above. For this discussion, find the Gini Index of income concentration for f (x) = x³.8.
Transcribed Image Text:Income inequality: Gini coefficient, 2022 The Gini coefficient measures inequality on a scale from 0 to 1. Higher values indicate higher inequality. Depending on the country and year, the data relates to income measured after taxes and benefits, or to consumption, per capita. Our World in Data Table Map Chart Play time-lapse 1963 No data 0.3 0.35 0.4 0.45 0.5 0.55 Data source: World Bank Poverty and Inequality Platform (2023) - Learn more about this data Note: Income and consumption estimates are available separately in this Data Explorer. OurWorldInData.org/economic-inequality | CC BY ་ → World 2022 Explore the data → If y = f(x) is the equation of a Lorenz curve (In a Lorenz curve the variable a represents the cumulative percentage of families at or below a given income level, and y represents the cumulative percentage of total family income received), then Gini Index = 2 f₁² [x — f (x)] dx. - The Gini Index is always a number between 0 (absolute equality in income) and 1 (absolute inequality in income) as shown in the applet above. For this discussion, find the Gini Index of income concentration for f (x) = x³.8.
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