Central Tendency & DispersionMTP June 2023 Series IQuestion 2984 of 473

The median of the observations $\displaystyle 42, 72, 35, 92, 67, 85, 72, 81, 51, 56$ is

\displaystyle 69.5

\displaystyle 72

\displaystyle 64

\displaystyle 61.5

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Correct Answer

✅ Option a — $\displaystyle 69.5$

We are given the observations:

\displaystyle 42, 72, 35, 92, 67, 85, 72, 81, 51, 56

. 1. Arrange the data in ascending order:

35, 42, 51, 56, 67, 72, 72, 81, 85, 92

Here, the number of observations is

\displaystyle n = 10

. 2. The median is the average of the two middle-most observations (the

\displaystyle 5^{\text{th}}

and

\displaystyle 6^{\text{th}}

observations): -

\displaystyle 5^{\text{th}}

observation:

\displaystyle 67

\displaystyle 6^{\text{th}}

observation:

\displaystyle 72

3. Calculate the median:

\text{Median} = \frac{67 + 72}{2} = \frac{139}{2} = 69.5

Hence, **Option A** is the correct answer.

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