Question : The average of 8 numbers is 21. If each of the numbers is multiplied by 8, the average of the new set of numbers is:
Option 1: 21
Option 2: 29
Option 3: 8
Option 4: 168
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Correct Answer: 168
Solution :
Given:
The average of 8 numbers = 21
If the average of x numbers is y and each number is multiplied by z, then the new average will be (y × z).
According to the question,
Required new average = Old average × 8
$\therefore$ New average = 21 × 8 = 168
Hence, the correct answer is 168.
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