GATE ME 2015 Set 1 — Question 12

MCQ+1 / -0.33EasyNormal DistributionStatistics & DistributionsEngineering Mathematics

Engineering Mathematics → Statistics & Distributions → Normal Distribution

Last updated 5 September 2026

Question

Among the four normal distributions with probability density functions as shown below, which one has the lowest variance?

Correct answer (D) IV Solution Variance is a measure of the spread of a distribution. For a normal distribution, a lower variance results in a narrower and taller (more peaked) curve. In the provided figure, curve IV is the most peaked and has the narrowest spread, indicating it has the lowest variance. Turn this into a strength. Explore AI-powered practice and doubt support with Success Tracker.

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Correct answer (D) IV Solution Variance is a measure of the spread of a distribution. For a normal distribution, a lower variance results in a narrower and taller (more peaked) curve. In the provided figure, curve IV is the most peaked and has the narrowest spread, indicating it has the lowest variance.

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