contestada

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 ?

Respuesta :

Answer:

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;

         [tex]\frac{2}{2}[/tex]  = 1,

         [tex]\frac{4}{2}[/tex]  = 2,

         [tex]\frac{6}{2}[/tex]  = 3,

         [tex]\frac{8}{2}[/tex]  = 4,

         [tex]\frac{10}{2}[/tex]  = 5

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

But,

       N = average of the sum of the average numbers

       N = [tex]\frac{15}{2}[/tex]

       N = 7.5

Therefore, the average of M is 2N.

The average of M numbers is 2N when the possible pair of these numbers is found.

Calculation of the average:

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

So here the average should be like

2 by 2 = 1

4 by 2 = 2

6 by 2 = 3

8 by 2 = 4

10 by 2 = 5

So here the sum should be

= 1 + 2 + 3 + 4 + 5

= 15

So, the average should be 2N.

Learn more about an average here: https://brainly.com/question/1731262?referrer=searchResults