The average of the marks of 14 students in a class is 67. If the marks of each student are doubled, find the new average?

Correct option is C

Given:

The average marks of 14 students = 67

Formula Used:
The formula for the average is:

Average =$$\frac{\text{Sum of all marks}}{\text{Number of students}}$$​

Solution:

The sum of the marks of all 14 students can be calculated as:

Sum of marks = $$\text{Average} \times \text{Number of students} = 67 \times 14 = 938$$​

Now, if each student's marks are doubled, the new sum of marks will be:

New sum of marks = 2 $$\times \text{Sum of marks} = 2 \times 938 = 1876$$​

The number of students remains the same (14 students), so the new average is:

New Average $$= \frac{\text{New sum of marks}}{\text{Number of students}} = \frac{1876}{14} = 134$$​

The new average of the marks after doubling each student's marks is 134.