In a class there are 26 boys and 24 girls. The Math teacher administered a test and found that the average score of the whole class is 85.If the average score of the boys was 82, find the average score of the girls.
Show answer & explanation
Correct answer: B
Explanation
The correct answer is Option 2 i.e. 88.25.
We know that,
Average = Sum of observations/Number of observations
Let the total marks scored by the whole class be x
The average score of class = x/(26 + 24) = x/50
⇒ 85 = x/50
⇒ x = 4250
Let, the total marks scored by boys be y
The average score of boys = y/26
⇒ 82 = y/26
⇒ y = 2132
Marks scored by girls = 4250 - 2132 = 2118
Average score by the girls = 2118/24 = 88.25