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The average of the marks of 14 students in a class is 62. If the marks of each student are doubled, find the new average?
Question

The average of the marks of 14 students in a class is 62. If the marks of each student are doubled, find the new average?

A.

14

B.

62

C.

28

D.

124

Correct option is D

Given:

Average marks of 14 students = 62

Marks of each student are doubled.

Formula Used:

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

Solution:

Sum of marks = Average × Number of students = 62 × 14 = 868

When the marks are doubled, the new sum will be:

New sum of marks = 2 × 868 = 1736

The new average will be:

New Average =173614=124 \frac{1736}{14} = 124

The new average of the marks, after doubling, will be 124.

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