Scales a numeric vector by centering it around its mean and scaling it by its range.
The resulting vector has a mean of 0 and values typically within [-1, 1].
Usage
norm_mean(x, na.rm = TRUE)
Arguments
- x
A numeric vector.
- na.rm
Logical. Should NA values be removed during calculation?
Default is TRUE.
Value
A numeric vector.
If the range is 0 (all values are identical), returns a centered vector (zeros).
Details
Formula: \(x' = \frac{x - \text{mean}(x)}{\max(x) - \min(x)}\)
References
Han, J., Kamber, M., & Pei, J. (2011). Data mining: concepts and techniques (3rd ed.). Morgan Kaufmann.
Examples
# Result ranges from approx -0.5 to 0.5, mean is 0
norm_mean(c(1, 2, 3, 4, 5))
#> [1] -0.50 -0.25 0.00 0.25 0.50
# Handles negative values
norm_mean(c(-10, 0, 10))
#> [1] -0.5 0.0 0.5
