Percentile Calculator
Find any percentile of your dataset with detailed statistical analysis and interpretation
Data Input and Percentile Calculation
Enter your data values
Percentile Results
Enter at least 2 data values to calculate percentiles
Example: Running Distance Analysis
Sample Data (Jogging Distances)
Original data: 1.9, 1.7, 2.0, 2.3, 1.8, 2.0, 2.4, 2.1, 2.4 (miles)
Sorted data: 1.7, 1.8, 1.9, 2.0, 2.0, 2.1, 2.3, 2.4, 2.4
Goal: Find the 60th percentile
Calculation Steps
Step 1: rank = (60/100) × (9+1) = 0.6 × 10 = 6
Step 2: integer_part = ⌊6⌋ = 6, fraction_part = 6 - 6 = 0
Step 3: 60th percentile = a₆ + 0 × (a₇ - a₆) = 2.1 + 0 = 2.1
Result & Interpretation
60th percentile: 2.1 miles
Meaning: 60% of your runs were 2.1 miles or shorter
Goal: Aim to consistently run 2.1 miles to reach this fitness level
Common Percentiles
Percentile Tips
50th percentile = median value
Higher percentile = higher value
Used for rankings and comparisons
Common in medical growth charts
Used in standardized test scores
Minimum 2 data points required
Understanding Percentiles
What is a Percentile?
A percentile is a statistical measure that indicates the value below which a certain percentage of observations fall. For example, if you score at the 80th percentile on a test, it means you performed better than 80% of all test-takers.
Key Properties
- •Range from 0th to 100th percentile
- •50th percentile equals the median
- •Quartiles divide data into fourths (25th, 50th, 75th)
- •Deciles divide data into tenths (10th, 20th, etc.)
Percentile Formula
Step 1: rank = (k/100) × (n+1)
Step 2: integer_part = ⌊rank⌋
Step 3: fraction_part = rank - integer_part
Step 4: percentile = a[m] + fraction_part × (a[m+1] - a[m])
Where k = percentile, n = data count, m = integer_part
Real-World Applications:
- Education: Test score rankings and grade distributions
- Healthcare: Growth charts for children's development
- Business: Salary benchmarking and performance metrics
- Finance: Risk assessment and portfolio analysis
- Sports: Performance rankings and statistics
Remember: Percentiles provide relative position within a dataset, not absolute performance measures.