The average of 12 numbers is 35. If each of the numbers is multiplied by 2, what is the average of the new set of numbers?
Answer & explanation
Correct answer: option 1
The correct answer is Option (1) → 70
If every number is multiplied by the same number, the sum and hence the average are multiplied by it too.
Sum of the 12 numbers \(=12\times35=420\)
After doubling each number, the sum \(=2\times420=840\)
New average \(\displaystyle =\frac{840}{12}=70\), which is \(2\times35\)
The new average is 70.