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If the average of ten numbers is 16.2 and if 3 is subtracted from each number, then the new average of the ten numbers is:
Question

If the average of ten numbers is 16.2 and if 3 is subtracted from each number, then the new average of the ten numbers is:

A.

16.1

B.

13.2

C.

15.1

D.

14.3

Correct option is B

Given:

Average of 10  numbers = 16.2

Number subtracted from each number = 3

Formula Used:

Average = Sum of observationsNumber of observations \frac{Sum\ of\ observations}{Number\ of\ observations}​​

Solution:

Total of 10 number =10×16.2 10\times 16.2​ = 162

If 3 is subtracted from each number:

Then,  new total = 162 - 3×10 3\times10 = 132

New average =c13210=13.2 \frac{132}{10} = 13.2​​

Alternate Method:

If number is subtracted from each number then that can directly be subtracted from average:

= 16.2 - 3 =13.2

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