Central Tendency & DispersionPYQ Nov 18Question 2950 of 473
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The median of the data 5,6,7,8,9,10,11,12,15,18\displaystyle 5, 6, 7, 8, 9, 10, 11, 12, 15, 18, and 19\displaystyle 19 is

Options

A10.5
B10
C11
D11.5
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Correct Answer

✅ Option b — 10

All Options:

  • A10.5
  • B10
  • C11
  • D11.5

Detailed Solution & Explanation

We are given the dataset: 5,6,7,8,9,10,11,12,15,18,19\displaystyle 5, 6, 7, 8, 9, 10, 11, 12, 15, 18, 19. 1. Check if the observations are in ascending order: 5,6,7,8,9,10,11,12,15,18,195, 6, 7, 8, 9, 10, 11, 12, 15, 18, 19 Yes, they are already in ascending order. 2. The number of observations is n=11\displaystyle n = 11 (which is odd). 3. The median is the n+12th\displaystyle \frac{n+1}{2}^{\text{th}} observation: Position of Median=11+12=6th observation\text{Position of Median} = \frac{11+1}{2} = 6^{\text{th}} \text{ observation} 4. The 6th\displaystyle 6^{\text{th}} observation in the sorted list is 10\displaystyle 10. While some textbook answer keys mistakenly list Option D due to parsing errors, the mathematically correct median is 10\displaystyle 10. Hence, **Option B** is the correct answer.

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