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 = $\frac{\text{Sum of the numbers}}{\text{Total numbers}}$
= $\frac{\text{S}}{10}$ = 24
⇒ S = 240...(1)
Now, if each number is divided by 2, the new sum of the numbers would be = $\frac{\text{S}}{2}$
So, the new average would be = $\frac{\frac{\text{S}}{2}}{10}$ = $\frac{\text{S}}{20}$
But, from equation (1), we know that S = 240.
Substituting this value in the above expression, we get:
New average = $\frac{\text{S}}{20}$ = $\frac{240}{20}$ = 12
$\therefore$ The new average of the ten numbers if each number is divided by 2 is 12.
Hence, the correct answer is 12.
Related Questions
Know More about
Staff Selection Commission Multi Tasking ...
Application | Cutoff | Selection Process | Preparation Tips | Eligibility | Exam Pattern | Admit Card
Get Updates Brochure
Your Staff Selection Commission Multi Tasking Staff Exam brochure has been successfully mailed to your registered email id “”.
