Winsorized Mean Calculator
Calculate a Winsorized mean where extreme values are capped rather than discarded.
About Winsorized Mean Calculator
Winsorising preserves the sample size by capping extremes at the nearest retained value, unlike trimming which removes them. That matters when downstream variance calculations depend on n. Winsorising is preferred to trimming when the number of observations must be preserved, such as in panel data or repeated measures.
Formula
Winsorized Mean
Winsorized mean replaces the extreme p% with the nearest retained value, keeping n unchanged
- Winsorising
- Capping rather than removing extremes, so sample size is preserved
Worked example
With the default values below, Winsorized Mean Calculator returns Winsorized Mean of 50.45000. Change any input above and every figure here is recalculated in your browser.
Inputs used
- Sample sizeminimum 3
- 100
- Percentage Winsorized at each tailaccepts 0–100 %
- 5 %
- Original mean
- 52.4
- Value replacing the lower tail
- 31
- Value replacing the upper tail
- 74
- Sum of the untouched middle values
- 4,520
Results
- Winsorized Mean
- 50.45000
- Values Replaced
- 10
- Values Left Unchanged
- 90
- Difference From the Original Mean
- -1.95000
- Sample Size Retained
- 100
Step by step
- 1Values used
- 2Winsorized Mean
- 3Winsorized Mean= 50.45000
- 4Values Replaced= 10
- 5Values Left Unchanged= 90
- 6Difference From the Original Mean= -1.95000
- 7Sample Size Retained= 100
Assumptions and limits
- The result is derived only from the 6 inputs listed above. Anything not among them is not part of the calculation.
- In particular, this calculator does not take inflation, tax, fees or charges or compounding frequency into account.
- Figures are rounded for display to 5 decimal places, so totals built from several rounded parts can differ slightly from the unrounded arithmetic.
How these calculators are built and tested is described on the Methodology page. If a figure looks wrong, please report it.
Frequently Asked Questions
How is Winsorized Mean calculated?
Winsorized mean replaces the extreme p% with the nearest retained value, keeping n unchanged Winsorising preserves the sample size by capping extremes at the nearest retained value, unlike trimming which removes them. That matters when downstream variance calculations depend on n.
Why does Winsorized Mean matter?
Winsorising is preferred to trimming when the number of observations must be preserved, such as in panel data or repeated measures.
What values do I need to enter?
This calculator takes 6 inputs: Sample size, Percentage Winsorized at each tail, Original mean, Value replacing the lower tail, Value replacing the upper tail, Sum of the untouched middle values. The pre-filled defaults are a realistic starting point — replace them with figures from your own environment for a result you can act on.