Question
Prove that the arithmetic mean of a series after addition will be equal to the addition by the same constant to it their mean.
Solution
We take the following observations to prove the statement
X : 1,2,3,4 and 5
A. M. = 1+2+3+4+5 = 15 =3
5 5
Now we add 2 to all observations and get the following observations :
3,4,5,6 and 7
New A. M. = 3+4+5+6+7 = 25 = 5
5 5
Thus, we see that the A.M. of a series after addition is equal to the addition by the same constant to their mean.
