The GATE Grind

GATE 2023 IN – Question 4

General Aptitude · Analytical Aptitude: Logical Reasoning and Deduction · 1 mark · Multiple choice

Which one among the following statements must be TRUE about the mean and the median of the scores of all candidates appearing for GATE 2023?

  1. The median is at least as large as the mean.
  2. The mean is at least as large as the median.
  3. At most half the candidates have a score that is larger than the median.
  4. At most half the candidates have a score that is larger than the mean.

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Show answer and explanation

Correct answer: (C) At most half the candidates have a score that is larger than the median.

Explanation

A median divides the ordered observations into lower and upper halves. No more than half the observations can lie strictly above it, even with ties. Mean and median have no fixed ordering for arbitrary distributions.

Hence **C**.