The average of 10 numbers is 5. What will be the new average if each of the numbers is multiplied by 4
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Answer:
Given that the mean of 15 numbers is 27
i.e n=15
mean =27
we know
Mean =
No. of numbers(observations)
sum of numbers
27=
15
sum of numbers
Sum of numbers =15×27=405
and if each number multiplied by 4.
After multiplication of each number their new sum of numbers will be
=405×4
=1620
∴ new mean =
no. of numbers(observations)
new sum of numbers
=
15
1620
=108
∴ new mean =108
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