The average score of a group of students in a test is 58. The Average score of the brightest 15% of the students is 85 and that of the poorest 20% of the students is 28. What is the average score of the remaining students?
Show answer & explanation
Correct answer: B
Explanation
The correct answer is option 2 i.e. 61
Formula used:
Average = Sum of observations/number of observations
Calculations:
Let the total number of students be 100.
Total score of all the students = 100 × 58 = 5800
Total bright students = 15% of 100 = 15
Total score of bright students = 15 × 85
Total poorest students = 20% of 100 = 20
Total score of poor students = 20 × 28
Remaining students = 100 - 15 - 20 = 65
Remaining score = 5800 - 15 × 85 - 20 × 28 = 3975
Required average = 3975/65 = 61