The average of the marks of 14 students in a class is 60. If the marks of each student are doubled, find the new average?

Correct option is A

Given:

The average marks of 14 students in a class is 60.

The marks of each student are doubled.

Formula Used:

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

Solution:

Let the sum of the marks of the 14 students be S. Since the average marks are 60, we can write:

​$$\frac{S}{14} = 60$$​

S = 60 × 14 = 840

If the marks of each student are doubled, the new sum of the marks will be:

New sum of marks = 2 × S = 2 × 840 = 1680

The new average will be:

New average = $$\frac{\text{New sum of marks}}{\text{Number of students}} = \frac{1680}{14} = 120$$​

The new average is 120.