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GATE 2025 BM – Question 33

Engineering Mathematics · Probability and Statistics · 1 mark · Multiple choice

The dataset {−5,1,a,5,b} is in ascending order and has both mean and median 3. Find b.

  1. 7
  2. 11
  3. 9
  4. 12

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Correct answer: (B) 11

Explanation

For five ordered values, the median is the third, so a=3. Mean three means total fifteen. The known four values sum to −5+1+3+5=4, leaving b=15−4=11. This respects ascending order, so B.

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