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Formula To Calculate Gini Coefficient

Gini Coefficient Formula:

\[ G = \frac{2}{n \times \mu} \times \sum_{i=1}^{n} (i \times y_i) - \frac{n + 1}{n} \]

Enter income values separated by commas (e.g., 10000,20000,30000)

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1. What is the Gini Coefficient?

The Gini coefficient is a measure of statistical dispersion intended to represent the income inequality or wealth inequality within a nation or any other group of people. It ranges from 0 (perfect equality) to 1 (perfect inequality).

2. How Does the Calculator Work?

The calculator uses the Gini coefficient formula:

\[ G = \frac{2}{n \times \mu} \times \sum_{i=1}^{n} (i \times y_i) - \frac{n + 1}{n} \]

Where:

Explanation: The formula calculates the area between the Lorenz curve (which plots actual income distribution) and the line of perfect equality.

3. Interpretation of Gini Coefficient

Details:

4. Using the Calculator

Tips: Enter all income values separated by commas. The calculator will sort them automatically and compute the Gini coefficient.

5. Frequently Asked Questions (FAQ)

Q1: What is considered a "good" Gini coefficient?
A: Generally, coefficients below 0.3 are considered acceptable, while above 0.4 may indicate problematic inequality.

Q2: How does this compare to other inequality measures?
A: The Gini coefficient is more comprehensive than simple ratios (like 90/10 ratio) but less detailed than the entire Lorenz curve.

Q3: What are limitations of the Gini coefficient?
A: It doesn't show where in the distribution inequality occurs, and can give same value for different shaped distributions.

Q4: Should income be before or after taxes?
A: Typically after taxes and transfers are used, as this reflects actual disposable income.

Q5: How often should Gini coefficient be calculated?
A: Annual calculation is common for tracking trends, but frequency depends on data availability.

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