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

Options

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

Answer

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 seven subjects. Therefore, we can list the marks as follows:
- 75, 75, 75, 75, 75, 75, 75

### Step 2: Determine the Number of Subjects
The number of subjects is 7. Since 7 is an odd number, we will use the formula for finding the median in a set of odd numbers.

### Step 3: Find the Position of the Median
To find the median in a set of odd numbers, we use the formula:
\[ \text{Median Position} = \frac{n + 1}{2} \]
where \( n \) is the number of observations. Here, \( n = 7 \).

Calculating the median position:
\[ \text{Median Position} = \frac{7 + 1}{2} = \frac{8}{2} = 4 \]

### Step 4: Identify the Median Value
Now, we need to find the 4th term in our list of marks:
- 1st term: 75
- 2nd term: 75
- 3rd term: 75
- 4th term: 75
- 5th term: 75
- 6th term: 75
- 7th term: 75

The 4th term is 75.

### Step 5: Conclusion
Thus, the median marks obtained by the child is **75**.