Question

The average of n numbers is x. If each of the numbers is multiplied by (n+1); then the average of new set of numbers is

Answer 1

Answer:

n(n+1)

Step-by-step explanation:

Average of x numbers = n.

Total numbers = nx.

New total when each number is multiplied by n+1 = n(n+1)x.

So new average of x numbers = n(n+1)x/x = n(n+1)

For example,

if 1,2,3,4,5 are numbers => average = 15/5 = 3

multiply each number by n+1 i.e. 3+1 = 4

So new set of numbers 4, 8, 12, 16, 20 => average = 60/5 = 12 = 3 (3+1)