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GATE 2026 AR — Planning – Question 52

Data Analysis, Remote Sensing and Geo-informatics · Descriptive statistics · 1 mark · Multiple choice

In the Lorenz diagram shown, A is the area between the equality line and the income curve; B is the area beneath the income curve. Which expression is the Gini coefficient?

Diagram for GATE 2026 AR — Planning question 52
  1. A/(A+B)
  2. A/B
  3. A/(B−A)
  4. B/A

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Correct answer: (A) A/(A+B)

Explanation

The Gini coefficient normalises the inequality area by the full area below the equality line. That full area is A+B, so G=A/(A+B), option A. It is zero when the curve coincides with equality and tends towards one as the inequality area fills the triangle.

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