The marks obtained by 13 students in a test are 10, 3, 10, 12. 9. 7. 9. 6. 7, 10, 8, 6 and 7. The median of this data is

Options

A. a. 7
B. b. 8
C. c. 9
D. d. 10

Answer

To find the median of the marks obtained by 13 students, we will follow these steps:

### Step 1: Organize the Data
First, we need to arrange the marks in ascending order. The given marks are:
10, 3, 10, 12, 9, 7, 9, 6, 7, 10, 8, 6, 7.

Arranging these in ascending order, we get:
3, 6, 6, 7, 7, 7, 8, 9, 9, 10, 10, 10, 12.

### Step 2: Count the Total Number of Students
Next, we confirm the total number of students, which is 13.

### Step 3: Determine if the Number of Students is Odd or Even
Since there are 13 students, which is an odd number, we will use the formula for finding the median in an odd set of data.

### Step 4: Use the Median Formula
The formula for the median when the number of observations (n) is odd is:
\[ \text{Median} = \frac{n + 1}{2} \text{th term} \]

Substituting the value of n:
\[ \text{Median} = \frac{13 + 1}{2} = \frac{14}{2} = 7 \]

### Step 5: Find the 7th Term
Now, we need to find the 7th term in our ordered list:
1. 3
2. 6
3. 6
4. 7
5. 7
6. 7
7. **8** (This is the 7th term)
8. 9
9. 9
10. 10
11. 10
12. 10
13. 12

### Conclusion
The median of the marks obtained by the students is **8**.

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