Trimmed Mean Calculator
Calculate the trimmed mean (truncated mean) by removing a percentage of extreme values from both ends of the data.
Enter Data
Example Data Sets:
10% Trimmed Mean
32.500000
Regular Mean
35.500000
Median
27.500000
Interquartile Mean
27.500000
Trimmed Std Dev
23.452079
Trimming Details:
Original Count:
10
Trimmed Count:
8
Removed Each End:
1
Removed Values:
Lower: [5]
Upper: [90]
What is Trimmed Mean?
The trimmed mean (or truncated mean) is a measure of central tendency that is more robust to outliers than the arithmetic mean. It is calculated by discarding a certain percentage of the lowest and highest values and then computing the mean of the remaining values. The interquartile mean (IQM) is a special case where 25% is trimmed from each end.
Formula
Trimmed Mean = Sum(x[k+1] to x[n-k]) / (n - 2k)
Where k = floor(trim% * n) values are removed from each end.