Central Tendency & DispersionMTP June 24 Series IIQuestion 2989 of 473

The wages of $\displaystyle 8$ workers expressed in rupees are $\displaystyle 42,45,49,38,56,54,55,47$ . Find median wage?

\displaystyle 47

\displaystyle 48

\displaystyle 49

\displaystyle 50

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Correct Answer

✅ Option b — $\displaystyle 48$

We are given the wages of 8 workers:

\displaystyle 42, 45, 49, 38, 56, 54, 55, 47

: 1. Arrange the wages in ascending order:

38, 42, 45, 47, 49, 54, 55, 56

Here, the number of observations is

\displaystyle n = 8

(which is even). 2. The median is the average of the two middle-most values (the

\displaystyle 4^{\text{th}}

and

\displaystyle 5^{\text{th}}

terms): -

\displaystyle 4^{\text{th}}

term:

\displaystyle 47

\displaystyle 5^{\text{th}}

term:

\displaystyle 49

3. Calculate the median wage:

\text{Median} = \frac{47 + 49}{2} = \frac{96}{2} = 48

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

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