Question : The 10th class of 40 students took a Maths test. 25 students had an average score of 60. The other students had an average score of 80. What is the average score of the whole class?
Option 1: 66.5
Option 2: 65.5
Option 3: 67.5
Option 4: 68.5
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Correct Answer: 67.5
Solution :
Total number of students = 40
Number of students with an average score of 60 = 25
Number of students with an average score of 80 = 15
Now, the class average
=$\frac{\text{Sum of marks of all students}}{\text{Total number of students}}$
= $\frac{25\times 60+15\times 80}{40}$
= $67.5$
Hence, the correct answer is 67.5.
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