Question:
What is the average marks of a class?
I) The highest marks of the class is 100 and the lowest marks is 20
II) The total number of students in class is 50.
What is the average marks of a class?
I) The highest marks of the class is 100 and the lowest marks is 20
II) The total number of students in class is 50.
I) The highest marks of the class is 100 and the lowest marks is 20
II) The total number of students in class is 50.
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Extremes (min/max) in a dataset do not determine the average of the whole group.
Updated On: Jun 26, 2026
- Statement I alone is sufficient
- Statement II alone is sufficient
- Statements I and II together are sufficient
- Statements I and II together are not sufficient
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The Correct Option is D
Solution and Explanation
Step 1: Concept
Average = $\frac{\text{Total Marks}}{\text{Number of Students}}$.
Step 2: Analysis of Statement I
Range (20 to 100) tells us nothing about the distribution or total sum. Not sufficient.
Step 3: Analysis of Statement II
$N = 50$. Sum is unknown. Not sufficient.
Step 4: Combined Analysis
Knowing the number of students and the highest/lowest marks still leaves the marks of the other 48 students unknown. The sum, and thus the average, cannot be determined.
Step 5: Conclusion
Correct answer is (4). Final Answer: (4)
Average = $\frac{\text{Total Marks}}{\text{Number of Students}}$.
Step 2: Analysis of Statement I
Range (20 to 100) tells us nothing about the distribution or total sum. Not sufficient.
Step 3: Analysis of Statement II
$N = 50$. Sum is unknown. Not sufficient.
Step 4: Combined Analysis
Knowing the number of students and the highest/lowest marks still leaves the marks of the other 48 students unknown. The sum, and thus the average, cannot be determined.
Step 5: Conclusion
Correct answer is (4). Final Answer: (4)
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