Q. 65.0( 2 Votes )

The mean of 16 numbers is 54. If each number is divided by 9 what will be the new mean.

Answer :

Given that, mean of 16 numbers = 54

Mean can be given by



Where, x = Sum of all observations


& n = Total number of observations


Here, Mean = 54 and n = 16.


So,



x = 54 × 16


x = 864


We have sum of all observations = 864


If 9 is divided from each of the 16 numbers, then the new sum of all observations = 864 ÷ 9


New sum of all observations = 96


Now, we have fresh data: x’ = 96, n = 16



New mean = 6


Thus, new mean of the observation is 6.


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