the mean marks obtained by a group of 100 students was found to 49.46.THE mean marks obtained in the same examination by another group of 200 students was 52.32. Find the mean marks obtained by the both groups of students tken together.

51.37 Right.

To find the mean marks obtained by both groups of students taken together, we need to calculate the weighted mean. This is done by multiplying each group's mean by the number of students in that group, summing these values, and then dividing by the total number of students.

Let's calculate it step by step using the given information:

1. Group A:
- Number of students: 100
- Mean marks: 49.46
- Multiply the number of students by the mean marks: 100 * 49.46 = 4946

2. Group B:
- Number of students: 200
- Mean marks: 52.32
- Multiply the number of students by the mean marks: 200 * 52.32 = 10464

3. Add the two products together: 4946 + 10464 = 15410

4. Total number of students: 100 + 200 = 300

5. Calculate the mean by dividing the sum (15410) by the total number of students (300):
- Mean = 15410 / 300 = 51.37

Therefore, the mean marks obtained by both groups of students taken together is 51.37.