Percentile Rank
1️⃣ Percentile
Percentile is a value that shows the percentage of scores below a particular score in a group.
In simple words:
It tells how many students scored less than a particular score.
Example
Suppose 100 students wrote an exam.
If a student is in the 80th percentile, it means:
👉 The student scored higher than 80 students.
Only 20 students scored higher.
So,
80th percentile = score above 80% of students
2️⃣ Percentile Rank
Percentile Rank is the percentage of scores that fall below a particular score.
It shows the position of a student in comparison with others.
Formula
PR = \frac{B + 0.5E}{N} \times 100
Where:
- PR = Percentile Rank
- B = Number of scores below the score
- E = Number of scores equal to the score
- N = Total number of scores
3️⃣ Simple Example
Marks of students:
20, 30, 40, 50, 60
Find Percentile Rank of 40
Below 40 → 2 scores (20,30)
Equal to 40 → 1 score
Total students N = 5
PR = \frac{2 + 0.5(1)}{5} \times 100
PR = \frac{2.5}{5} \times 100
PR = 50
✅ Percentile Rank = 50
This means the student performed better than 50% of students.
4️⃣ Difference between Percentile and Percentile Rank
| Percentile | Percentile Rank |
|---|---|
| Value below which a percentage of scores fall | Percentage of scores below a given score |
| Example: 75th percentile | Example: PR = 75 |
| Used to locate position in distribution | Used to compare performance |
✔ Simple Example
If exam result shows:
Percentile Rank = 85
It means:
👉 You scored better than 85% of students.
Easy way to remember
Percentile → value (score point)
Percentile Rank → percentage of students below that score
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