Percentile Rank Formula:
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The percentile rank indicates the percentage of scores in a distribution that a specific score is greater than or equal to. It helps understand relative standing in a group.
The calculator uses the percentile rank formula:
Where:
Explanation: The formula accounts for both values below and equal to the score, with equal values split between the ranks.
Details: Percentile ranks are widely used in education, psychology, and statistics to compare individual performance against a reference group.
Tips: Enter the count of values below your score, count of equal values, and total number in distribution. All values must be non-negative integers.
Q1: What's the difference between percentile and percentile rank?
A: Percentile is the value below which a percentage of data falls, while percentile rank is the percentage of data at or below a specific value.
Q2: What does a percentile rank of 75 mean?
A: It means the score is equal to or better than 75% of the scores in the distribution.
Q3: How is this different from percentage?
A: Percentage is based on absolute performance (e.g., 80/100), while percentile rank shows relative standing in a group.
Q4: What are common uses of percentile ranks?
A: Standardized test scores, growth charts, employee performance evaluations, and statistical analysis.
Q5: Can percentile rank be more than 100?
A: No, percentile ranks range from 0 to 100, representing percentages of the distribution.