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Question #1
Revisit
There are M positive numbers and the averages of each possible pair of these
numbers is found. If the average of all these averages is N, then wat is the
average of M numbers?
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Answer:
I hope 4 will be
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Given : There are M positive numbers and the averages of each possible pair of these numbers is found.
average of all these averages is N,
To Find : What is the average of M numbers
Solution:
Take example 1 , 5 , 6
3 numbers
Average = (1 + 5 + 6)/3 = 4
Possible Pairs ( 1 , 5) , ( 1 , 6) , ( 5, 6)
Average of Each = 3 , 3.5 , 5.5
Average of all average = ( 3 + 3.5 + 5.5)3 = 12/3 = 4
Hence Average is same.
average of all these averages is N
Hence average of M numbers is N
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