Rolling Average Calculator
Calculate each rolling mean in a sequence and report the latest value for a chosen window size.
How to use this calculator
- Enter numeric values in order and a positive integer window size.
- Confirm that all inputs use the stated units and the same population, period or scope.
- Change one assumption at a time when comparing scenarios.
Formula used by the rolling average calculator
Moving average = mean of the most recent w observations
- Moving average = mean of the most recent w observations
- Keep the sequence chronological and consistent. A rolling average smooths data but may delay signals.
- Inputs are validated against required ranges and outputs are rounded for readability.
Worked examples
Worked example
Sequence 10, 12, 14, 13, 17, 20 with a three-value window.
The latest three-value average is 16.67.
The latest three-value average is 16.67.
Understanding the result
Calculate each rolling mean in a sequence and report the latest value for a chosen window size.
Keep the sequence chronological and consistent. A rolling average smooths data but may delay signals.
Important notes
Keep the sequence chronological and consistent. A rolling average smooths data but may delay signals.
Use the result as a calculation aid for the inputs supplied; confirm critical specifications independently.
Frequently asked questions
What happens at the start of the series?
No average is reported until the full window of observations is available.
Does smoothing remove outliers?
No; it can reduce their visual influence but does not remove their underlying values.
How do I use this calculator?
Enter numeric values in order and a positive integer window size.
Related calculators
- Average Calculator — Calculate the mean, median, mode, and range of any set of numbers.
- Weighted Average Calculator — Calculate a weighted average from values and their weights.
- 2×2 Matrix Calculator — Add, subtract and multiply 2×2 matrices and calculate each determinant with transparent row and column inputs.
- Average Selling Price Calculator — Calculate net average selling price per unit from revenue and units sold over a matching period.
- Circle Calculator — Calculate circle area, circumference, and diameter from radius.
- Geometric Mean Calculator — Calculate the geometric mean of positive values and compare it with their arithmetic mean.
Related explanations
Learn the method behind the number or compare the terminology before using the calculator.
- Percentage Change vs Percentage Difference — Understand the difference between percentage change and percentage difference, including when each formula is appropriate.
- How to Calculate a Z-Score — Learn how a z-score shows how far a value is from the mean in standard-deviation units.
- Percentage — Understand what a percentage means, how percentages are calculated, and when to use a percentage calculator.
This page provides a calculation tool plus explanatory information so you can understand what the result means and when the underlying method may not fit your situation.