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Shortcut used: Convert average into total first; most average questions are total questions.
Solve in 3 steps:
- Write average and count.
- Find total = average x count.
- Adjust total if values are added/removed/replaced.
Common mistake: Do not update the average without updating the total.
Question 9
Multiple Choice Question
Question
The average marks of 15 students is 40, and the average marks of 25 other students is 52. What is the combined average?
Explanation
Correct Answer: A
ANSWER
Correct Answer: A
Method / Topic: Average
The combined average is 47.5.
Why this answer is correct
The answer follows from total divided by number of values.
Short Explanation
The combined average is 47.5.
Detailed Explanation
Question
The average marks of 15 students is 40, and the average marks of 25 other students is 52. What is the combined average?
ANSWER
Correct Answer: A
Method / Topic: Average
Combined total=15×40+25×52=1900. Dividing by 40 students gives 47.5.
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Question 9
Learn + Solve: Shortcut, Trap & Fast Route Click to view shortcut, steps, and common mistake
Learn + solve
Shortcut used, common trap, and the fastest solving route
Shortcut used: Convert average into total first; most average questions are total questions.
Solve in 3 steps:
- Write average and count.
- Find total = average x count.
- Adjust total if values are added/removed/replaced.
Common mistake: Do not update the average without updating the total.
Question
The average marks of 15 students is 40, and the average marks of 25 other students is 52. What is the combined average?
Explanation
Correct Answer: A
ANSWER
Correct Answer: A
Method / Topic: Average
The combined average is 47.5.
Why this answer is correct
The answer follows from total divided by number of values.
Short Explanation
The combined average is 47.5.
Detailed Explanation
Question
The average marks of 15 students is 40, and the average marks of 25 other students is 52. What is the combined average?
ANSWER
Correct Answer: A
Method / Topic: Average
Combined total=15×40+25×52=1900. Dividing by 40 students gives 47.5.
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