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Statistics · Descriptive statistics

Trimmed and Winsorized Mean Calculator

Compare the ordinary mean with symmetric trimmed and Winsorized means while showing exactly how many observations change at each tail.

Statistics · Descriptive statistics

Enter your statistical inputs

Private in-browser calculation · explicit assumptions

Enter plain numbers without measurement units. Datasets accept commas, spaces, semicolons, or line breaks and are limited to 10,000 values. Results stay in this browser.

Statistics result

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Enter valid values to see the result.

Your entries are calculated in this browser and are not submitted to 365CALCS.COM.

Quick guide

How to use this calculator

  1. Enter the observations, probabilities, model parameters, or summary statistics requested by the visible labels.
  2. Keep every value on the same scale and confirm that the selected sampling relationship, distribution, and tail convention match the question you are investigating.
  3. Read the result together with its assumptions and interpretation. Statistical output summarizes uncertainty under a model; it does not repair biased data or establish causation.

Calculation method

How the trimmed and winsorized mean calculator works

Trim k ordered values per tail for the trimmed mean; replace those tails with the nearest retained values for the Winsorized mean.

Robust means reduce tail influence, but the trim level must be chosen from the analysis plan rather than tuned to obtain a desired result.

Worked example

Trimmed and Winsorized Mean example

With 10 values and a 10% trim, one value is removed from each tail before the trimmed mean is calculated.

Trim k ordered values per tail for the trimmed mean; replace those tails with the nearest retained values for the Winsorized mean.

Supported inputs

Precision and limits

Model and design

The number trimmed per tail is floor(n×percentage/100); the selected percentage must leave at least one observation.

Numerical scope

Inputs use double-precision numerical methods with guarded domains. Datasets accept up to 10,000 finite plain-decimal values. Extremely large parameters or probabilities deep in a numerical tail may require specialist statistical software.

Interpretation

Robust means reduce tail influence, but the trim level must be chosen from the analysis plan rather than tuned to obtain a desired result.

Decision boundary

The calculator does not validate how data were collected, diagnose dependence or bias, choose a scientifically meaningful effect, or replace review by a qualified statistician for consequential research, medical, regulatory, safety, or policy decisions.

Privacy

Entered values and calculated results stay in this browser and are not sent to an analytics service.

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