The average of ten num

Question

The average of ten numbers is 7. If each number is multiplied by 12 then the average of the new set of numbers is :

Options:

A . 7

B . 19

C . 82

D . 84

Answer: Option D

Average of 10 numbers = 7

Sum of these 10 numbers = 10 x 7 = 70

`:.` `x_1 + x_2 + ..................x_10` = 70

`hArr` `12x_1 + 12x_2 + .......... + 12x_10 `= 840

`hArr` `(12x_1 + 12x_2 + ..............+ 12x_10)/(10)` = 84

`hArr` Average of new number is 84

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