Trimmed Mean Calculator — Formula
## How the Trimmed Mean Works
### Approach
1. Sort the values from smallest to largest
2. Remove a fixed percentage from each end (here, one value from each end)
3. Average the remaining values
**Trimmed Mean = Sum of remaining values / Count of remaining values**
This technique protects the average from outliers while still using most of the data. A common choice is a 20% trimmed mean, which removes the top and bottom 20% of observations.
### Approach
1. Sort the values from smallest to largest
2. Remove a fixed percentage from each end (here, one value from each end)
3. Average the remaining values
**Trimmed Mean = Sum of remaining values / Count of remaining values**
This technique protects the average from outliers while still using most of the data. A common choice is a 20% trimmed mean, which removes the top and bottom 20% of observations.
Esempio Risolto
Data: 2, 10, 12, 14, 98. Compute the trimmed mean removing one value from each end.
- Sorted values: 2, 10, 12, 14, 98
- Remove lowest (2) and highest (98)
- Remaining: 10, 12, 14
- Trimmed Mean = (10 + 12 + 14) / 3 = 12
- Compare: Regular Mean = 136 / 5 = 27.2 (heavily influenced by 98)