In an English exam of 50 marks of a class, 20 students had an average score of 40 marks, 25 students had an average score of 34 marks and 15 students had an average score of 26 marks. What is the weighted average score of the entire class?

Correct option is C

Given:
Group 1: 20 students, average = 40 marks
Group 2: 25 students, average = 34 marks
Group 3: 15 students, average = 26 marks
Concept Used:
To find the weighted average, we use the formula:
​$$\text{Weighted Average} = \frac{(\text{Average}_1 \times \text{Count}_1) + (\text{Average}_2 \times \text{Count}_2) + (\text{Average}_3 \times \text{Count}_3)}{\text{Total Students}}$$​​
Solution:
Total weighted sum = (20 × 40) + (25 × 34) + (15 × 26) = 800 + 850 + 390 = 2040
Total number of students = 20 + 25 + 15 = 60
Weighted Average = $$\frac{2040}{60}$$​ = 34