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The average of ten numbers is 7 If each number is…

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

  1. A. 7
  2. B. 19
  3. C. 82
  4. D. 84

Answer: Option D

Here is complete explanation of The average of ten numbers is 7 If each number is….

Solution(By ExamCraze Team)

Average of 10 numbers = 7
Sum of these 10 numbers = (10 × 7) = 70
$$eqalign{ & therefore {x_1} + {x_2} + ..... + {x_{10}} = 70 cr & Rightarrow 12{x_1} + 12{x_2} + ..... + 12{x_{10}} = 840 cr & Rightarrow frac{{12{x_1} + 12{x_2} + ..... + 12{x_{10}}}}{{10}} = 84 cr} $$
⇒ Average of new numbers is 84

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