There are M positi ve numbers and average of each possible pair of these numbers is found. if the average of all these
averages is N, what is the average of M numbers ?

The average of M numbers is 2N.

Step-by-step explanation:

Let the positive numbers be 2, 4, 6, 8 10, so that M = 5.

The average of each number is;

           = 1,

           = 2,

           = 3,

           = 4,

           = 5

The sum of the average numbers = 1 + 2 + 3 + 4 + 5 = 15

But,

       N = average of the sum of the average numbers

       N =

       N = 7.5

Therefore, the average of M is 2N.