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

Explanation

Let the given numbers be `x_(1),x_(2),x_(3),…., x_(16)`
Then , the mean of these numbers = `( x_(1) +x_(2)+x_(3) +….+x_(16))/16`
`( x_(1) +x_(2)+x_(3) +….+x_(16))/16 =8 `
`Rightarrow (x_(1) +x_(2)+x_(3) +….+x_(16)) =128`
The new numbers are `(x_(1) +2) ,(x_(2) +2),(x_(3)+2) ,.....,(x_(16) +2)`
mean of the new numbers
`((x_(1)+2)+(x_(2)+2)+(x_(3)+2)+.....+(x_(16)))/16`
`((x_(1)+x_(2)+x_(3)+....+x_(16))+32)/16=((128+32))/16`
`160/16 = 10`
Hence, the new mean is `10. `