Question

The average marks of 15 students in a subject is 65. If another student has scored 97 marks in the same subject, then the average marks of the 16 students is

• A. 69
• B. 71
• C. 68
• D. 67

Hint:

When adding a new value to an average, multiply the original average by number of students, add the new score, then divide by new total.

Answer 1

The Correct Option is D

Step 1: Find total marks of 15 students
Average = 65, Number of students = 15
Total marks = \( 65 \times 15 = 975 \) Step 2: Add the marks of the new student
New student scored 97
New total marks = \( 975 + 97 = 1072 \) Step 3: Find the new average
Total students = 16
Average = \( \frac{1072}{16} = \boxed{67} \)