Question
Download Solution PDFIf the average marks of three classes of 65, 70 and 75 students are 65, 70, 75 respectively, find the average marks of all the students. (approximately)
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven:
Class 1: Number of students = 65, Average marks = 65
Class 2: Number of students = 70, Average marks = 70
Class 3: Number of students = 75, Average marks = 75
Formula Used:
Overall Average = (Total marks of all students) / (Total number of students)
Calculation:
Total marks of Class 1 = 65 × 65 = 4225
Total marks of Class 2 = 70 × 70 = 4900
Total marks of Class 3 = 75 × 75 = 5625
Total number of students = 65 + 70 + 75 = 210
Total marks of all students = 4225 + 4900 + 5625 = 14750
Overall Average = Total marks of all students / Total number of students
⇒ Overall Average = 14750 / 210
⇒ Overall Average ≈ 70.238
The overall average marks of all students are approximately 70.238.
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