In a class of 19 students, seven boys failed in a test.
Those who passed scored 12, 15, 17, 15, 16, 15, 19, 19, 17, 18, 18 and 19 marks. The median score of the 19 students in the class is

Options

A. 15
B. 16
C. 17
D. 18

Answer

To find the median score of the 19 students in the class, we will follow these steps:

### Step 1: Identify the total number of students and the number of students who passed.
- Total students = 19
- Students who failed = 7
- Therefore, students who passed = 19 - 7 = 12

### Step 2: List the scores of the students who passed.
The scores of the students who passed are:
12, 15, 17, 15, 16, 15, 19, 19, 17, 18, 18, 19

### Step 3: Arrange the scores in ascending order.
Arranging the scores in ascending order gives us:
12, 15, 15, 15, 15, 16, 17, 17, 18, 18, 19, 19, 19

### Step 4: Determine the median position.
Since there are 19 students, the median position can be found using the formula:
Median position = (n + 1) / 2
Where n is the total number of students.

So, Median position = (19 + 1) / 2 = 20 / 2 = 10

### Step 5: Find the score at the median position.
From the arranged list of scores:
1. 12
2. 15
3. 15
4. 15
5. 15
6. 16
7. 17
8. 17
9. 18
10. **18** (10th score)
11. 19
12. 19
13. 19

The score at the 10th position is 18.

### Conclusion:
The median score of the 19 students in the class is **18**.

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