1. What is Percentile Rank?

Percentile rank indicates the percentage of scores in a distribution that a specific score is greater than or equal to. It helps compare an individual's performance relative to others in a group.

2. How Does the Calculator Work?

The calculator uses the percentile formula:

Where:

• \( total \) — Total number of items in the distribution
• \( rank \) — Position of the item in the ranked list (1 being the highest)

Explanation: The formula calculates what percentage of the total group scored equal to or below the given rank.

3. Importance of Percentile Calculation

Details: Percentile ranks are widely used in education, psychology, and statistics to compare individual performance against a reference group without being affected by extreme values.

4. Using the Calculator

Tips: Enter the total number of items in the distribution and the rank position you want to evaluate. Rank 1 is the highest position in the list.

5. Frequently Asked Questions (FAQ)

Q1: What's the difference between percentage and percentile?
A: Percentage shows performance relative to maximum possible, while percentile shows performance relative to others in a group.

Q2: What does 95th percentile mean?
A: It means the score is equal to or better than 95% of the group and only 5% performed better.

Q3: How is percentile different from quartile?
A: Quartiles divide data into four equal parts (25% each), while percentiles divide data into 100 equal parts (1% each).

Q4: Can percentile be more than 100?
A: No, percentile values range from 0 to 100, representing percentages of the reference group.

Q5: What's a good percentile rank?
A: This depends on context. In standardized testing, 50th is average, above 75th is typically considered good, and above 90th is excellent.