Central Tendency & DispersionPYQ Dec. 21Question 2945 of 473
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The median value of the set of observations 48,36,72,87,19,66,56,91\displaystyle 48, 36, 72, 87, 19, 66, 56, 91 is

Options

A53
B87
C61
D19
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Correct Answer

✅ Option c — 61

All Options:

  • A53
  • B87
  • C61
  • D19

Detailed Solution & Explanation

To find the median value of the set of observations: 48,36,72,87,19,66,56,91\displaystyle 48, 36, 72, 87, 19, 66, 56, 91: 1. Arrange the observations in ascending order: 19,36,48,56,66,72,87,9119, 36, 48, 56, 66, 72, 87, 91 2. The number of observations is n=8\displaystyle n = 8 (which is even). 3. The median is the average of the two middle-most observations (the 4th\displaystyle 4^{\text{th}} and 5th\displaystyle 5^{\text{th}} observations): Median=56+662=1222=61\text{Median} = \frac{56 + 66}{2} = \frac{122}{2} = 61 Hence, **Option C** is the correct answer.

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