The mean of 16 numbers is 8. If 2 is added to every number, what will be the new mean?

Explanation

Solution:
Let the numbers be `x_1,x_2,...x_16,`
Then,
`(x_1 + x_2 +........x_16)/16 = 8 ....................(1)`
`(x_1 +x_2 +.........x_16)=128 . ...................(2)`

On adding the equation `(1)` and `(2)`we get

`x_1 + x_2 + x_16 = 128 + 32`

On solving, we get
`(x_1 + x_2 + x_16) + 16 = 10 .................(3)`
From equation `(1)`,`(2)` and `(3)` we conclude,
Mean as`10`