Central Tendency & DispersionMTP Apr 21Question 2976 of 473

The median of data $\displaystyle 13, 8, 11, 6, 4, 15, 2, 18$ is

\displaystyle 8

\displaystyle 9

\displaystyle 11

\displaystyle 9.5

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Correct Answer

✅ Option d — $\displaystyle 9.5$

To find the median of the data:

\displaystyle 13, 8, 11, 6, 4, 15, 2, 18

: 1. Arrange the data in ascending order:

2, 4, 6, 8, 11, 13, 15, 18

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}}

values): -

\displaystyle 4^{\text{th}}

value:

\displaystyle 8

\displaystyle 5^{\text{th}}

value:

\displaystyle 11

3. Calculate the median:

\text{Median} = \frac{8 + 11}{2} = \frac{19}{2} = 9.5

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

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