Gini Coefficient Formula:
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The Gini coefficient is a measure of statistical dispersion intended to represent income inequality or wealth inequality within a nation or any other group of people. A Gini coefficient of 0 expresses perfect equality, while a coefficient of 1 expresses maximal inequality.
The calculator uses the standard Gini coefficient formula:
Where:
Explanation: The calculation involves sorting incomes, calculating cumulative percentages, and using the trapezoidal rule to compute the area under the Lorenz curve.
Details:
Tips: Enter income values separated by commas (e.g., 25000,30000,45000,60000,120000). The calculator will automatically sort and process the values.
Q1: What is considered a "good" Gini coefficient?
A: Most developed nations have coefficients between 0.24 and 0.36. Values above 0.4 are often considered problematic for social stability.
Q2: How does this compare to other inequality measures?
A: The Gini coefficient is more comprehensive than simple ratios (like 90/10 ratio) as it considers the entire distribution.
Q3: What are limitations of the Gini coefficient?
A: It doesn't show where the inequality occurs in the distribution and can be sensitive to changes in the middle of the distribution.
Q4: Can it be used for wealth inequality?
A: Yes, the same calculation applies when using wealth data instead of income data.
Q5: How often should Gini coefficients be calculated?
A: For tracking trends, annual calculation is typical, though quarterly estimates might be useful in rapidly changing economies.