Question : The average of ten numbers is 24. If each number is divided by 2, then what will be the new average?
Option 1: 12
Option 2: 6
Option 3: 20
Option 4: 5
Correct Answer: 12
Solution :
The average of ten numbers = 24
Let's assume the sum of the ten numbers is S.
Then, according to the given information, we have:
Average =
=
⇒ S = 240...(1)
Now, if each number is divided by 2, the new sum of the numbers would be =
So, the new average would be =
But, from equation (1), we know that S = 240.
Substituting this value in the above expression, we get:
New average =
Hence, the correct answer is 12.
