The mean of 15 numbers is 27. If each number is multiplied by 4, what will be the mean of the new numbers?

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108

answer is C.

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Detailed Solution

Given the mean of the 15 numbers is

Let us assume 15 numbers to be

Now as we know that the mean of given numbers is the ratio of the sum of given numbers by the total numbers whose mean is to be found and since we have to find the mean of 15 numbers here so we will divide the sum of these numbers by 15, hence we can write
Question Image

So the value of the sum of these 15 numbers will be equal to Question Image

Now it is said that each of these is multiplied by 4, hence we can write the new numbers as

Hence their mean will be equal to

Hence by taking 4 as a common we can further write this as

Now since the sum of theses 15 numbers is

,
hence we can write the mean as

Therefore the mean of the new 15 numbers

.
So, the correct
Ans: is

.
Hence, option 3 is the correct Ans:.

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