I have some questions regarding the normalisation of a data set between 0-1. The members of the set that I try to normalise are:
X1 = 4.803
X2 = 24.30
X3 = 280.32
X4 = 44.78
If I add them all up I get 354.203. As I want to map each data point to the 0-1 range, I use the following equation:
$$ X_{i,0\;to\;1} = \frac{X_i - X_{min}}{X_{max} - X_{min}} $$
I get:
X1_norm = 0
X2_norm = 0.0707651433486863
X3_norm = 1
X4_norm = 0.14509812461663
I then have two questions:
1) Can I somehow get 354.203 using the normalised values?
2) What should I do in order to map the entire data set to 0-1? That is, if I add all the normalised terms (X1_norm to X4_norm) I want to get exactly 1.
Thanks in advance.