Question
Download Solution PDFIf the average marks of three classes of 75, 80 and 85 students are 75, 80, 85 respectively, find the average marks of all the students. (approximately)
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven:
Class 1: Number of students = 75, Average marks = 75
Class 2: Number of students = 80, Average marks = 80
Class 3: Number of students = 85, Average marks = 85
Formula used:
Overall average = \(\frac{\text{Sum of marks of all classes}}{\text{Total number of students}}\)
Calculation:
Sum of marks for Class 1 = 75 × 75 = 5625
Sum of marks for Class 2 = 80 × 80 = 6400
Sum of marks for Class 3 = 85 × 85 = 7225
Total sum of marks = 5625 + 6400 + 7225 = 19250
Total number of students = 75 + 80 + 85 = 240
⇒ Overall average = \(\frac{19250}{240}\)
⇒ Overall average = 80.2083 (approximately)
∴ The correct answer is option (1).
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