Winsorized Mean Calculator
Calculate the Winsorized mean by replacing extreme values with less extreme boundary values for robust estimation.
Enter Data
Example Data Sets:
10% Winsorized Mean
28.000000
Regular Mean
28.700000
Trimmed Mean
23.750000
Median
16.500000
Winsorized Std Dev
30.778781
Winsorization Details:
Values Replaced Each End:
1
Lower Boundary:
5.0000
Upper Boundary:
85.0000
Winsorized Data:
[5.00, 5.00, 8.00, 12.00, 15.00, 18.00, 22.00, 25.00, 85.00, 85.00]
What is Winsorized Mean?
The Winsorized mean is a robust measure of central tendency where extreme values are not removed (as in trimmed mean) but replaced with less extreme boundary values. Named after Charles P. Winsor, this method reduces the influence of outliers while maintaining the original sample size, which is important for variance calculations.
Winsorized vs Trimmed Mean
Trimmed: Removes k values from each end, reducing sample size.
Winsorized: Replaces k values with boundary values, keeping sample size constant.