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Gini Coefficient from Five Income-Quintile Shares Calculator

Lorenz-curve area: G = 1 − Σ (Lᵢ + Lᵢ₋₁) · 0.20.

Compute the Gini coefficient of income inequality from the cumulative income shares of the five population quintiles. After sorting the quintile shares from poorest to richest and computing cumulative shares L₀=0, L₁=s₁, L₂=s₁+s₂, ..., L₅=1, the Gini = 1 − Σᵢ₌₁..₅ 0.20 · (Lᵢ + Lᵢ₋₁). G = 0 ⇒ perfect equality; G = 1 ⇒ perfect concentration. (Shares are automatically rescaled to sum to 100 %.)

Daniel Oh By Daniel Oh
Published Last reviewed 1 min read

Inputs

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Results

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How to use this calculator

  1. Fill in the inputs above using the units you already have.
  2. Values update automatically as you type — no submit button needed.
  3. Hover any result row for the underlying formula and intermediate values.

Formula

G = 1 − Σ 0.2·(Lᵢ + Lᵢ₋₁).

In depth

Compute the Gini coefficient of income inequality from the cumulative income shares of the five population quintiles. After sorting the quintile shares from poorest to richest and computing cumulative shares L₀=0, L₁=s₁, L₂=s₁+s₂, ..., L₅=1, the Gini = 1 − Σᵢ₌₁..₅ 0.20 · (Lᵢ + Lᵢ₋₁). G = 0 ⇒ perfect equality; G = 1 ⇒ perfect concentration. (Shares are automatically rescaled to sum to 100 %.)