From a group of 12 students with average weight being 72.5 kgs, two students leave. Because the two leave, the average of the group falls to 71.25 kgs. find the average weight of the two students who leave the group.
Answers
72.5 -71.25=1.45
means the average of those two students is 1.45
The average weight of the two students who leave the group is 78.75 kgs .
Explanation:
Formula : Sum of n observations = n x Average of n observations
Given : From a group of 12 students with average weight being 72.5 kgs.
Then, Sum of weight of 12 students = 12 x 72.5 = 870 kgs
Because the two leave, the average of the group falls to 71.25 kgs.
After two leaves , Sum of weight of 10 students = 10 x 71.25 = 712.5 kgs.
Now , The sum of weight of two students who leave the group = Sum of weight of 12 students- Sum of weight of 10 students
= 870- 712.5 kgs
= 157.5 kgs
Average weight of the two students who leave the group= (Sum of weight ) ÷2
= 157.5 ÷2 = 78.75 kgs
Hence, the average weight of the two students who leave the group is 78.75 kgs .
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