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This would be like calling numbers constrained between 0 and 100 "multiplied". Yes, in some common situations you normalize data and it ends up between 0 and 1.
by noodlenotes 6y ago
This would be like calling numbers constrained between 0 and 100 "multiplied". Yes, in some common situations you normalize data and it ends up between 0 and 1. And in some common situations you multiply and end up with numbers between 0 and 100 (like percentages).
But normalization doesn't always result in numbers between 0 and 1 and multiplication doesn't always result in numbers between 0 and 100.
Similarly, not all numbers constrained between 0 and 1 have been normalized and not all numbers constrained between 0 and 100 have been multiplied.
Add in the fact that the normalization statisticians most commonly use is z-score standardization (subtracting by the mean and dividing by standard deviation, resulting in data centered around 0), and you're going to end up with a lot of confusion. In fact, this example highlights that while normalization does mean "to scale" it doesn't mean that the result will always be bounded to a particular interval.