In a class of 40 students, ratio of boys and girls is 3 : 2 and the average marks scored by boys is 42 and that by girls is 46. Then the average marks scored by the whole class is:
Answer & explanation
Correct answer: option 2
The correct answer is Option (2) → 43.6
We have,
Total number of students = 40
Ratio of boys and girls is 3 : 2
Now according to the question,
3x + 2x = 40
x = 8
3x = 24
and 2x = 16
The average marks scored by boys is 42 and that by girls is 46
Total marks of boys = 42 × 24 = 1008 , Total marks of girls = 46 × 16 = 736
Average = \(\frac{sum \; of \;observation}{number\;of \;observation}\)
= \(\frac{1008 + 736}{40}\) = 43.6