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If the average weight of 6 students is 50 kg, the average weight of 2 students is 51 kg and the average weight of 2 students is 55 kg, then what will
Question

If the average weight of 6 students is 50 kg, the average weight of 2 students is 51 kg and the average weight of 2 students is 55 kg, then what will be the average weight of all the students?

A.

52 kg

B.

61 kg

C.

51.5 kg

D.

51.2 kg

Correct option is D

Given: 
If the average weight of 6 students is 50 kg, the average weight of 2 students is 51 kg and the average weight of 2 students is 55 kg.​​
Solution:
Total weight of these 6 students = 6 × 50 = 300 kg
Total weight of these 2 students = 2 × 51 = 102 kg
Total weight of these 2 students = 2 × 55 = 110 kg
Total Weight of All Students:
Total weight = 300 + 102 + 110
= 512 
Total Number of Students:
6+2+2=10 students
Average Weight:
TotalWeightTotalStudents\frac {Total Weight}{Total Students}
51210\frac {512}{10}​​
= 51.2 kg
51.2 kg will be the average weight of all students.
Thus, correct option is (d).

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