Question
Download Solution PDFThe average weight of 20 students in a group is 54 kg. If 12 students of average weight 52 kg join the group and 7 students of average weight 56 kg leave the group, then what will be the average weight (in kg) of the remaining students in the group?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven:-
Average weight of 20 students = 54 kg
Average weight of 12 students = 52 kg
Average weight of 7 students = 56 kg
Formula used:-
Average = (Sum of all weight)/(Total no. of weight)
Calculation:-
According to question-
⇒ (Sum of 20 students)/20 = 54
⇒ Sum of 20 students = 54 × 20
⇒ Sum of 20 students = 1080
∴ Sum of 12 students = 52 × 12
⇒ Sum of 12 students = 624
⇒ Sum of 7 students = 56 × 7
⇒ Sum of 7 students = 392
Average of remaining students = (Sum of 20 students + Sum of 12 students - Sum of 7 students)/(20 + 12 - 7)
Average of remaining students = (1080 + 624 - 392)/25
Average of remaining students = 1312/25 = 52.48
∴ Average of remaining students is 52.48.
Last updated on Jun 6, 2025
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