GATE CSE 2024 | Set 1 | GA: 3

Question

Consider the following sample of numbers:

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

The median of the sample is

• A. $13.5$
• B. $14$
• C. $11$
• D. $18.7$ 

Answer 1

Correct Answer: A

Comments

To find the median of a set of numbers, you arrange them in numerical order and then find the middle value. If there are an odd number of values, the median is the middle one. If there are an even number of values, the median is the average of the two middle numbers.

Let's sort the numbers in ascending order first:

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

There are 10 numbers in this list, so it's an even number. Therefore, we need to find the average of the two middle numbers: 13 and 14.

Median = (13 + 14) / 2 = 27 / 2 = 13.5

So, the median of the given set of numbers is 13.5.

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$\text{Just an addition }:$

1. If no. of terms are EVEN, Median = $\dfrac{\frac{n}{2}^{th} \ term+ (\frac{n}{2} + 1)^{th} \ term}{2}$

2. If no. of terms are ODD, Median = $\lceil{\frac{n}{2}\rceil}^{th}\  term$