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.
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.
⇒ ∑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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