Use our free Trimmed Mean Calculator to quickly find a more representative average of your data. By removing a specified percentage of observations from the upper and lower tails, this tool helps you mitigate the influence of extreme values (outliers), providing a robust statistical measure for your datasets.
Formula:
The trimmed mean (x̄t) is calculated by first sorting the dataset, then removing a specified number (k) of observations from both the lower and upper ends, and finally computing the arithmetic mean of the remaining data points.
Formula Steps:
- First, sort the data in ascending order: x(1), x(2), ..., x(n)
- Identify k, the number of observations to trim from each end, based on your chosen trim percentage.
- The trimmed mean is the average of the remaining (n - 2k) observations:
x̄t = (1 / (n - 2k)) * Σi=k+1n-k x(i)
Where:
- x̄t = The Trimmed Mean
- n = Total number of observations in the dataset
- k = Number of observations trimmed from each end
- x(i) = The i-th observation in the sorted dataset