GATE CE 2023 Set 2 — Question 12

MCQ+1 / -0.33MediumMean, Median & ModeStatistics & RegressionEngineering MathematicsPMF, PDF & CDFProbability

Engineering Mathematics → Probability → Mean, Median & Mode

Last updated 5 September 2026

Question

Which of the following probability distribution functions (PDFs) has the mean greater than the median?

Correct answer (B) Function 2 Solution In a probability distribution: If the distribution is symmetric (like Function 1), the mean is equal to the median. If the distribution is positively skewed (skewed to the right, with a long tail on the right side, like Function 2), the mean is greater than the median because the extreme values in the tail pull the mean towards them. If the distribution is negatively skewed (skewed to the left, like Function 3), the mean is less than the median. Function 2 shows a clear positive skew, thus its mean is greater than its median. Turn this into a strength. Explore AI-powered practice and doubt support with Success Tracker.

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Correct answer (B) Function 2 Solution In a probability distribution: If the distribution is symmetric (like Function 1), the mean is equal to the median. If the distribution is positively skewed (skewed to the right, with a long tail on the right side, like Function 2), the mean is greater than the median because the extreme values in the tail pull the mean towards them. If the distribution is negatively skewed (skewed to the left, like Function 3), the mean is less than the median. Function 2 shows a clear positive skew, thus its mean is greater than its median.

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