A child scored 75 marks in each of five subjects. What is the median marks obtained by the child?

The correct option is 75.

Step 1: Understand the definition of Median
The median is the middle value in a given set of numbers when the numbers are arranged in order of magnitude (either ascending or descending).

Step 2: List the given data points
The child scored 75 marks in each of five subjects.
So, the scores obtained in the five subjects are:

$75,75,75,75,75$

Step 3: Find the middle (median) value
Since the total number of subjects is $n=5$ (which is an odd number), the position of the median is given by the formula:

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

$\text{Median Position}=\frac{5+1}{2}=3\text{rd term}$

Looking at the arranged list of marks, the 3rd term is 75.

Therefore, the median marks obtained by the child is 75.