Question 63

The average of 8 numbers is 27. If each of the numbers is multiplied by 8, find the average of new set of numbers.

Solution

Let the 8 numbers be $$x_1,x_2,.....,x_8$$

Sum of these 8 numbers = $$x_1+x_2+.....+x_8=27\times8=216$$ --------------(i)

If each number is multiplied by 8, => Numbers = $$8x_1,8x_2,.....,8x_8$$

Sum = $$8(x_1+x_2+.....+x_8)$$

= $$8\times216$$

$$\therefore$$ New average = $$\frac{8\times216}{8}=216$$

=> Ans - (D)

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