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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