Target Exam

CUET

Subject

General Aptitude Test

Chapter

Numerical Ability

Topic

Mean, Median and Mode

Question:

In the first 9 matches of a cricket tournament, the wickets taken by Jumpo are as follows:
3 2 0 1 3 0 5 1 4
Find the median of the number of wickets taken by Jumpo?

Options:

3

2

1

4

Correct Answer:

2

Explanation:

The correct answer is Option (2) → 2

To find the median of the number of wickets taken by Jumpo, we follow these steps:

1. Arrange the Data in Ascending Order

The original data set is: 3, 2, 0, 1, 3, 0, 5, 1, 4

Sorting these numbers from smallest to largest:

0, 0, 1, 1, 2, 3, 3, 4, 5

2. Identify the Number of Observations ($n$)

There are 9 matches in total, so $n = 9$.

3. Determine the Position of the Median

Since $n$ is an odd number, the median is the middle term in the sorted list. The formula for the position is:

$\text{Median Position} = \frac{n + 1}{2}$

$\text{Median Position} = \frac{9 + 1}{2} = 5\text{th term}$

4. Locate the 5th Term

In the sorted list (0, 0, 1, 1, 2, 3, 3, 4, 5), the 5th term is 2