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The average of ten numbers is 8. If each number is divided by 2, then find the average of the new set of numbers.
Question

The average of ten numbers is 8. If each number is divided by 2, then find the average of the new set of numbers.

A.

10

B.

4

C.

8

D.

6

Correct option is B

​Given:

The average of 10 number is 8.

Solution:

The average of 10 number is 8

Sum of numbers = Average × Number of terms = 8 × 10 = 80

When each number is divided by 2, the new total sum becomes:

New Sum = Original sum2=802=40\frac{Original\ sum}{2}= \frac{80}{2}=40 

The new average is the new total sum divided by the number of terms (which remains 10):

New Average = New SumNumber of Terms=4010=4\frac{New\ Sum}{Number\ of\ Terms}=\frac{40}{10}=4 

The average of the new set of numbers is 4

Thus the correct answer is (B)

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