GATE CS 2024 Set 1 Q3 — General Aptitude

To find the median of the given sample, we first arrange the numbers in ascending order:

$$9, \, 10, \, 11, \, 11, \, 13, \, 14, \, 15, \, 17, \, 18, \, 69$$

The total number of observations is $n = 10$, which is an even number.

For an even number of observations, the median is the average of the two middle terms, which are the $\left(\frac{n}{2}\right)^{\text{th}}$ and $\left(\frac{n}{2} + 1\right)^{\text{th}}$ terms (i.e., the $5^{\text{th}}$ and $6^{\text{th}}$ terms):

• $5^{\text{th}}\text{ term} = 13$
• $6^{\text{th}}\text{ term} = 14$

$$\text{Median} = \frac{13 + 14}{2} = 13.5$$

Thus, the correct option is A.