PERCENTILE Function
The PERCENTILE function returns the k-th percentile of values in a dataset. Master percentile calculations with examples for statistical analysis.
=PERCENTILE(array, k)Quick Answer
PERCENTILE function PERCENTILE function is a statistical function in Excel and Google Sheets that returns the k-th percentile of values in a dataset. It calculates the value below which a given percentage of observations fall. Use the syntax `=PERCENTILE(array, k)` where array is your data range and k is a decimal value between 0 and 1 representing the desired percentile (0.25 for 25th percentile, 0.
=PERCENTILE(array, k)Practical Examples
Calculate Student Test Score Percentiles
Find the 75th percentile score to identify top-performing students
Salary Benchmarking Analysis
Determine median and 90th percentile salaries for market comparison
Sales Performance Thresholds
Set quarterly sales targets based on historical performance percentiles
Website Response Time Analysis
Monitor 95th percentile response times for service level agreements
Income Distribution Analysis
Calculate multiple percentiles to understand economic distribution
Manufacturing Quality Control
Set acceptable product dimension tolerances using percentiles
Error Handling with PERCENTILE
Gracefully handle errors when calculating percentiles on filtered data
Common Errors and Solutions
The k value is not between 0 and 1
The percentile parameter (k) must be a decimal between 0 and 1 inclusive. This error occurs when you enter a value like 75 instead of 0.75, or use a negative number or value greater than 1.
1. Convert percentage to decimal by dividing by 100 (75% becomes 0.75) 2. Verify the k parameter cell contains a value between 0 and 1 3. Check for formula references that might calculate values outside this range 4. Use data validation on k parameter cells to restrict input to 0-1 range
Always express percentiles as decimals (0.25 for 25th percentile, 0.5 for median, 0.95 for 95th percentile). Consider adding a helper column that divides percentage inputs by 100 if users prefer percentage notation.
Example:
Array contains no numeric values or contains errors
This error appears when the array parameter contains no valid numeric values, only text, logical values, blanks, or error values. PERCENTILE requires at least one numeric value to calculate a percentile.
1. Verify your data range contains numeric values, not text that looks like numbers 2. Check for hidden error values (#N/A, #DIV/0!) within the array range 3. Use ISNUMBER() to identify which cells contain valid numeric data 4. Clean data with VALUE() or NUMBERVALUE() to convert text numbers to actual numbers 5. Remove or filter out error values before applying PERCENTILE
Always validate your data range before calculating percentiles. Use conditional formatting to highlight non-numeric cells, or implement data validation rules that ensure only numbers can be entered. For mixed-type data, use FILTER or array formulas to extract only numeric values.
Example:
Empty or insufficient data in array
While less common with PERCENTILE than with lookup functions, #N/A errors can occur when using PERCENTILE with functions like FILTER that return empty arrays when no data matches the criteria.
1. Wrap the formula in IFERROR to handle empty result scenarios 2. Add COUNTIF validation before calculating percentile to ensure sufficient data 3. Use IF statements to check if filtered results contain data: IF(COUNTA(range)>0, PERCENTILE(...), "No Data") 4. For dynamic ranges, verify the source data exists before applying filters
Implement defensive formula design by checking data availability first. For critical reports, add data validation warnings that alert users when insufficient data points exist for meaningful percentile calculations (generally at least 10-20 data points recommended for reliable percentiles).
Example:
Referenced range has been deleted or is invalid
This error occurs when the array reference points to deleted cells, an invalid range, or when the workbook structure has changed (rows/columns deleted that were part of the PERCENTILE range).
1. Check if the referenced range still exists in the worksheet 2. Use named ranges instead of direct cell references for better stability 3. Update the formula with the correct current range reference 4. If using references to other worksheets, verify the sheet names are correct 5. Recreate the formula if the reference is completely broken
Use structured references (Excel Tables) or named ranges that automatically adjust when data is added or removed. This makes formulas more resilient to worksheet changes. Avoid referencing entire columns (A:A) unless necessary, as this can cause issues when columns are restructured.
Example:
Best Practices and Advanced Tips
Use PERCENTILE.INC vs PERCENTILE.EXC Appropriately
In Excel 2010 and later, PERCENTILE has been supplemented with PERCENTILE.INC (inclusive) and PERCENTILE.EXC (exclusive) functions. PERCENTILE.INC matches the classic PERCENTILE function and is generally preferred for most business applications. PERCENTILE.EXC uses a slightly different calculation method that excludes the endpoints (0 and 1 percentiles) and is preferred in some statistical contexts. For consistency across Excel versions and Google Sheets, stick with PERCENTILE or PERCENTILE.INC.
Combine with Conditional Formatting for Visual Analysis
Create dynamic dashboards by using PERCENTILE results as thresholds in conditional formatting rules. For example, highlight all values above the 90th percentile in green and below the 10th percentile in red. This instantly visualizes performance distribution and makes outliers obvious.
Calculate Multiple Percentiles Efficiently
When you need several percentiles (quartiles, deciles, or custom percentiles), create a helper table with percentile values (0.1, 0.25, 0.5, 0.75, 0.9) in one column and use PERCENTILE with an absolute reference to the data range. This allows quick calculation of a complete distribution profile and is easily maintained when data changes.
Minimum Data Points for Reliable Percentiles
While PERCENTILE technically works with just 2 data points, results become more statistically meaningful with larger datasets. For business decisions, aim for at least 30 data points for reliable percentile calculations. With very small datasets (under 10 points), percentile results can be misleading and simple MIN/MAX analysis might be more appropriate.
Performance Optimization for Large Datasets
When working with tens of thousands of rows, PERCENTILE can slow down your workbook if used in many cells. Consider calculating percentiles once in a summary area using named formulas or Power Query, then reference those results throughout your workbook. This is especially important for dashboards that refresh frequently.
Document Your Percentile Choices
When using percentiles for business decisions (setting targets, identifying outliers, defining thresholds), always document why you chose specific percentile values. The 90th percentile might be standard in your industry, but the 85th or 95th might be more appropriate for your specific context. This documentation helps with audits and ensures consistency across teams.
Combine with RANK for Individual Positioning
While PERCENTILE tells you the value at a certain percentile, combining it with RANK or PERCENTRANK helps you understand where individual data points fall within the distribution. Use PERCENTILE to set thresholds, then use PERCENTRANK to see where each value ranks percentile-wise.
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Example Excel formula:
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