The GATE Grind

GATE 2023 MA – Question 4

General Aptitude · Quantitative Aptitude: Data Interpretation, Arithmetic and Number Computation · 1 mark · Multiple choice

Which statement must be true about the mean and median of scores of all candidates appearing for GATE 2023?

  1. Median is at least the mean.
  2. Mean is at least the median.
  3. At most half the candidates have scores larger than the median.
  4. At most half the candidates have scores larger than the mean.

Practise this question in The GATE Grind →

Show answer and explanation

Correct answer: (C) At most half the candidates have scores larger than the median.

Explanation

The median splits the ordered observations; at most half can be strictly above it, including when there are ties or an even sample size. Skewness can place the mean on either side and does not give the last statement. **C**.

More Quantitative Aptitude: Data Interpretation, Arithmetic and Number Computation questions

All Quantitative Aptitude: Data Interpretation, Arithmetic and Number Computation questions →