The average marks of three groups of 50, 56 and 44 students are respectively 55,52 and 40.
What will be the average marks of all students?

Options

A. 49.48
B. 49.84
C. 50.48
D. 49

Answer

To find the average marks of all students from three groups, we will follow these steps:

### Step-by-Step Solution:

1. **Identify the number of students in each group and their average marks:**
- Group 1: 50 students with an average of 55 marks.
- Group 2: 56 students with an average of 52 marks.
- Group 3: 44 students with an average of 40 marks.

2. **Calculate the total marks for each group:**
- Total marks for Group 1 = Number of students × Average marks = 50 × 55 = 2750
- Total marks for Group 2 = Number of students × Average marks = 56 × 52 = 2912
- Total marks for Group 3 = Number of students × Average marks = 44 × 40 = 1760

3. **Calculate the total marks for all groups combined:**
- Total marks = Total marks of Group 1 + Total marks of Group 2 + Total marks of Group 3
- Total marks = 2750 + 2912 + 1760 = 7422

4. **Calculate the total number of students:**
- Total number of students = Number of students in Group 1 + Number of students in Group 2 + Number of students in Group 3
- Total number of students = 50 + 56 + 44 = 150

5. **Calculate the average marks of all students:**
- Average marks = Total marks / Total number of students
- Average marks = 7422 / 150 = 49.48

### Final Answer:
The average marks of all students is **49.48**.

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