Question

The average of n numbers x1,x2,x3......xn is A. If x1 is replaced by (x+a)x1, x2 is replaced by (x+a)x2 and so on . find the nem average

Answer 1

hope this answer will help you

Answer 2

Answer:(x+a)A

Step-by-step explanation:

average of x1 ,x2, x3, x4, x5, x6.............xn is A.

as we know that the formula

$avg. =\frac{sum of terms}{no. of terms}$

so

$A =\frac{x1+x2+x3+......xn}{n}$

by multiplying all terms by (x+a)

average will be

$=\frac{x1(x+a)+x2(x+a)+x3(x+a)+......xn(x+a)}{n}\\\\\=(x+a)[\frac{x1+x2+x3+......+xn}{n}\\\\(x+a)*A$

so after multiplying (x+a) to each term average will also multiply by (x+a).

and new average will be (x+a)A