Explanation:

- Problem Context: The question involves calculating average marks, incorporating the concept of weighted averages.

- Given Data:

- Average marks for boys = 90

- Average marks of the whole class = 92

- Boys to girls ratio = 3:2

- Required: Determine the average marks scored by the girls.

- Calculation Explanation:

- Assume boys = 3x and girls = 2x.

- Total students = 5x.

- Total marks for boys = 90 × 3x.

- Total marks for class = 92 × 5x.

- Equate and solve:

- Total marks for girls = Total class marks - Total boys' marks.

- 92 × 5x = 90 × 3x + Average marks of girls × 2x.

- Solve to find the average marks of the girls.

- Correct Average Calculation:

- After calculation, it is found that girls' average = 95.

- Answer Validation:

- Option 4: 95 is correct.