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Gini Coefficient Calculation

Gini Coefficient Formula:

\[ G = 1 - 2 \times \text{Area Under Lorenz Curve} \]

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1. What is the Gini Coefficient?

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.

2. How Does the Calculator Work?

The calculator uses the standard Gini coefficient formula:

\[ G = 1 - 2 \times \text{Area Under Lorenz Curve} \]

Where:

Explanation: The calculation involves sorting incomes, calculating cumulative percentages, and using the trapezoidal rule to compute the area under the Lorenz curve.

3. Interpretation of Results

Details:

4. Using the Calculator

Tips: Enter income values separated by commas (e.g., 25000,30000,45000,60000,120000). The calculator will automatically sort and process the values.

5. Frequently Asked Questions (FAQ)

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.

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