Gini Coefficient & Income Inequality Calculator
The Gini Coefficient, developed by Italian statistician Corrado Gini, measures economic inequality across a population.
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📐 Formula
💡 Practical Example
Income quintile distribution: Q1 = 5%, Q2 = 10%, Q3 = 15%, Q4 = 22%, Q5 = 48%: Calculated Gini Coefficient = 0.424.
📖 About Gini Coefficient & Income Inequality Calculator
The Gini Coefficient, developed by Italian statistician Corrado Gini, measures economic inequality across a population. A Gini of 0 represents complete equality, while 1 represents maximum inequality.
To use the Gini Coefficient & Income Inequality Calculator, enter your Lowest 20% Income Share (Q1), Second 20% Income Share (Q2), Third 20% Income Share (Q3) and other values. The calculator instantly computes Gini Coefficient Index (0.0 to 1.0), Gini Index Score and more. Results update in real time as you change any input — no submit button needed.
How to Use This Calculator
Enter your Lowest 20% Income Share (Q1) (e.g. 5.0 in %), Second 20% Income Share (Q2) (e.g. 10.0 in %), Third 20% Income Share (Q3) (e.g. 15.0 in %), Fourth 20% Income Share (Q4) (e.g. 22.0 in %), and Highest 20% Income Share (Q5) (e.g. 48.0 in %). Results update instantly as you type — adjust any value to compare scenarios.
The Formula
Gini Coefficient = (Area between Line of Equality and Lorenz Curve) ÷ Total Area under Line of Equality
Gini Index = Gini Coefficient × 100
0.0 = Absolute Equality (every person has equal income)
1.0 = Absolute Inequality (one person holds all income)
Worked Example
Income quintile distribution: Q1 = 5%, Q2 = 10%, Q3 = 15%, Q4 = 22%, Q5 = 48%:
Calculated Gini Coefficient = 0.
424.
Understanding Your Result
Evaluate your result in the context of your specific use case and relevant industry standards or reference values. A single calculated result is a starting point — test two to three scenarios to understand how sensitive the outcome is to your key input assumptions. For high-stakes decisions, verify your result against a secondary source or subject-matter expert before acting.
💡 Mathematical Rigor & Applied Context
- This calculator applies exact mathematical definitions following conventions established by NIST and international standards bodies.
- Rounding errors accumulate across multi-step calculations. For precision-critical work, maintain extra significant figures through all intermediate steps.
- Many mathematical concepts have multiple valid formulations — if a result seems unexpected, verify which convention or definition applies to your context.
- Dimensional analysis (unit tracking) is the fastest way to catch formula errors. Every term in an equation must have consistent, compatible units.
- Numerical methods used in digital calculators introduce floating-point precision limits (~15 significant digits for IEEE 754 double precision).
- For statistical and probabilistic calculations, always specify whether you are working with population parameters or sample statistics — formulas differ.
- Visualizing a problem geometrically or testing with known boundary values (zero, infinity, negative) reveals hidden errors faster than algebraic checking.
- When in doubt, validate your result against a simplified hand calculation or a published worked example from a textbook or standards document.
Results are for informational and educational purposes only. Always verify critical decisions with a qualified professional.