How this calculation works
Reduce the influence of the two extreme observations while keeping five values in the average.
THE FORMULA
Mean after replacement = (2x₂+x₃+2x₄)/5A worked example
Replacing 1 with 2 and 100 with 4 gives a mean of 3.
Good to know
Exactly one observation per tail is replaced.
Reference: OpenStax Introductory Statistics (opens in a new tab) ↗
Read the result
Reduce the influence of the two extreme observations while keeping five values in the average.
The primary result is labeled “Winsorized mean”. Keep the input definitions in view when comparing this result with another method.
Try a related calculation
Exactly one observation per tail is replaced.
For a related exercise, try the statistics calculator.
A few questions, answered
How can I check the default inputs by hand?
Replacing 1 with 2 and 100 with 4 gives a mean of 3.
Which rule does this calculator apply?
Mean after replacement = (2x₂+x₃+2x₄)/5