Percentile Formula:
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Percentile indicates the percentage of students in a class who scored equal to or below a particular student's marks rank. It helps compare a student's performance relative to their peers.
The calculator uses the percentile formula:
Where:
Explanation: The formula calculates what percentage of the class performed at or below the student's rank.
Details: Percentile ranking provides context to raw marks by showing how a student performed relative to their peers, which is particularly useful in large classes or competitive environments.
Tips: Enter the student's rank (1 being the highest) and the total class size. Both values must be positive integers, and rank cannot exceed class size.
Q1: What's the difference between percentage and percentile?
A: Percentage shows absolute performance (e.g., 85/100), while percentile shows relative performance compared to peers.
Q2: Is higher percentile better?
A: Yes, higher percentile means better performance relative to the class (e.g., 90th percentile means better than 90% of the class).
Q3: How is rank determined for students with same marks?
A: Typically, students with same marks receive the same rank (ties), with subsequent ranks adjusted accordingly.
Q4: Can this be used for any class size?
A: Yes, but interpretation is more meaningful with larger class sizes (n > 30).
Q5: What's a good percentile score?
A: This depends on context, but generally above 75th percentile is considered good, and above 90th is excellent.