Question
Download Solution PDFIf the average marks of three classes of 55, 60 and 65 students are 55, 60, 65 respectively, find the average marks of all the students. (In approximately)
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven:
Number of students in Class 1 = 55, Average marks = 55
Number of students in Class 2 = 60, Average marks = 60
Number of students in Class 3 = 65, Average marks = 65
Formula Used:
Overall Average = (Sum of marks of all students) / (Total number of students)
Calculation:
Sum of marks of Class 1 = 55 × 55 = 3025
Sum of marks of Class 2 = 60 × 60 = 3600
Sum of marks of Class 3 = 65 × 65 = 4225
Total sum of marks = 3025 + 3600 + 4225
⇒ Total sum of marks = 10850
Total number of students = 55 + 60 + 65
⇒ Total number of students = 180
Overall Average = Total sum of marks / Total number of students
⇒ Overall Average = 10850 / 180
⇒ Overall Average ≈ 60.277
The average marks of all the students ≈ 60.277.
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