Question
Download Solution PDFThe average marks of 28 students in Mathematics was 5. 8 students left the school, then this average increased by 0.5. What is the average of marks obtained by the students who left the school?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven:
Average marks of 28 students = 5
Number of students left = 8
New average marks of remaining students = 5.5
Formula Used:
Sum of marks = Number of students × Average marks
Average of marks obtained by the students who left = (Sum of marks of leaving students) / Number of leaving students
Calculation:
Sum of marks of 28 students = 28 × 5
Sum of marks of 28 students = 140
Number of remaining students = 28 - 8 = 20
Sum of marks of remaining 20 students = 20 × 5.5
Sum of marks of remaining 20 students = 110
Sum of marks of leaving students = Total sum of marks - Sum of marks of remaining students
Sum of marks of leaving students = 140 - 110
Sum of marks of leaving students = 30
Average of marks obtained by the students who left = Sum of marks of leaving students / Number of leaving students
Average of marks obtained by the students who left = 30 / 8
Average of marks obtained by the students who left = 3.75
The correct answer is option 2.
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