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Quantitative Aptitude

GATE CSE 2024 Set 1 · Q3

MCQ1 markEasy

Time

Consider the following sample of numbers: 9,18,11,14,15,17,10,69,11,139, 18, 11, 14, 15, 17, 10, 69, 11, 13 The median of the sample is

Select one answerSingle correct

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Solution

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Official answer: A) 13.5

Quantitative Aptitude

To find the median of the given sample, first arrange the numbers in ascending order:

9,10,11,11,13,14,15,17,18,699, 10, 11, 11, 13, 14, 15, 17, 18, 69

The total number of observations is n=10n = 10 (an even number).

For an even number of observations, the median is the average of the (n2)th\left(\frac{n}{2}\right)^{\text{th}} and (n2+1)th\left(\frac{n}{2} + 1\right)^{\text{th}} terms, which are the 5th5^{\text{th}} and 6th6^{\text{th}} terms:

  • 5th5^{\text{th}} term =13= 13

  • 6th6^{\text{th}} term =14= 14

Median=13+142=272=13.5\text{Median} = \frac{13 + 14}{2} = \frac{27}{2} = 13.5

Hence, the correct option is (A).

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This Quantitative Aptitude previous year question is Q3 of the GATE CSE 2024 Set 1 paper. Find more GATE CSE PYQs on Quantitative Aptitude in General Aptitude, or browse all GATE CSE PYQs.

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Quantitative Aptitude in GATE CSE

Quantitative Aptitude has 53 GATE CSE PYQs across 13 papers from 2011 to 2026. 26 of them are 1-mark MCQs like this one, and GATE CSE 2024 Set 1 has 5.

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GateAI solution cardGATE CSE 2024 Set 1 · Q3 · MCQ

Consider the following sample of numbers: 9, 18, 11, 14, 15, 17, 10, 69, 11, 13 The median of the sample is

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Independent practice explanation verified by the GateAI team. GATE is conducted by the IITs; question text follows the official paper.