In a class of 11 students 3 students were failed in a test 8 students ...
Understanding the Problem
In a class of 11 students, 3 students failed the test, leaving us with 8 students who passed. The marks secured by these students are as follows: 10, 11, 12, 14, 24, 26.
Marks Overview
The marks obtained by the 8 passing students are:
- 10
- 11
- 12
- 14
- 24
- 26
Finding the Median
To find the median, we follow these steps:
1. **Sort the Marks**:
- The sorted marks are: 10, 11, 12, 14, 24, 26
- Since there are 8 students (an even number), the median is the average of the 4th and 5th values.
2. **Identify the 4th and 5th Values**:
- The 4th value is 14.
- The 5th value is 24.
3. **Calculate the Median**:
- Median = (14 + 24) / 2
- Median = 38 / 2
- Median = 19
Conclusion
The median marks of the students who passed the test is **19**. This value represents the middle point of the scores, providing insight into the performance of the passing students in the class.