Question
Download Solution PDFIf the average weight of 6 students is 50 kg; that of 2 students is 53 kg; and that of 2 students is 55 kg; then the average weight of all students is:
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven:
Average weight of 6 students = 50 kg
Average weight of 2 students = 53 kg
Average weight of 2 students = 55 kg
Formula used:
Average weight = (Total weight of all students) / (Number of students)
Calculation:
Total weight of 6 students = 6 × 50 = 300 kg
Total weight of 2 students = 2 × 53 = 106 kg
Total weight of 2 students = 2 × 55 = 110 kg
Total weight of all students = 300 + 106 + 110 = 516 kg
Total number of students = 6 + 2 + 2 = 10
⇒ Average weight = 516 / 10
⇒ Average weight = 51.6 kg
∴ The correct answer is 51.6 kg.
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