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

Options

A. 70
B. 75
C. 375
D. 15

Explanation

To find the median marks obtained by the child, we can follow these steps:

### Step 1: List the Marks
The child scored 75 marks in each of the five subjects. Therefore, we can list the marks as follows:
- Subject 1: 75
- Subject 2: 75
- Subject 3: 75
- Subject 4: 75
- Subject 5: 75

### Step 2: Arrange the Marks
Since all the marks are the same, they are already in order:
- 75, 75, 75, 75, 75

### Step 3: Determine the Number of Subjects
The total number of subjects (n) is 5.

### Step 4: Calculate the Median Position
Since the number of subjects is odd (n = 5), we can use the formula for the median position:
\[ \text{Median Position} = \frac{n + 1}{2} \]
Substituting the value of n:
\[ \text{Median Position} = \frac{5 + 1}{2} = \frac{6}{2} = 3 \]

### Step 5: Identify the Median
The median is the value at the median position, which is the 3rd term in our ordered list of marks. Since all marks are 75, the 3rd term is:
- 75

### Conclusion
Thus, the median marks obtained by the child is **75**.

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