Question : The average of 11 numbers is 8. If every number is tripled, then what will be the new average of the numbers?
Option 1: 8
Option 2: 24
Option 3: 16
Option 4: 32
Correct Answer: 24
Solution :
Given,
The average of 11 numbers is 8
Average = $\frac{\text{Sum of 11 numbers}}{11}$ = 8
Now, according to the question,
Every number is tripled.
We know, If each number is multiplied by a factor $n$, then the average will also be multiplied by $n$.
⇒ New average = $\frac{3\times\text{Sum of 11 numbers}}{11}$
⇒ New average = 3 × 8 = 24
Hence, the correct answer is 24.
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