5. The average weight of 42 students in class A is 88 kg and the average weight of 126 students in class B is 48 kg. Find the combined average of both the classes.
68
58
ОООО
82
64
(1 mark)
Answers
Given :- The average weight of 42 students in class A is 88 kg and the average weight of 126 students in class B is 48 kg. Find the combined average of both the classes.
A) 68
B) 58
C) 82
D) 64
Answer :-
→ Class A average weight of 42 students = 88 kg
so,
→ Class A total weight = (88 * 42) kg .
similarly,
→ Class B average weight of 126 students = 48 kg
so,
→ Class B total weight = (126 * 48) kg .
then,
→ Total weight of class A and class B = (88 * 42) + (126 + 48) kg .
and,
→ Total students in class A and B = 42 + 126 = 168 students .
therefore,
→ Combined average weight of both class = Total weight / total students = (88 * 42 + 126 * 48) / 168 = 8(11 * 42 + 126*6) / 168 = 6(11*7 + 126)/21 = (6 * 203)/21 = 58 kg (B) (Ans.)
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