suppose we have a problem like this

Properties

A B C D E F G

1 AA1 1.8 2.5 3.8 1.9 -3.5 -3.5 -3.2

2 AA2 2.95 1.69 -0.83 -2.52 -0.33 1.61 2.19

3 AA3 4.12 5.2 -1.65 -0.48 1.39 -1.24 3.25

4 AA4 0.6 -1.19 -1.2 -0.25 -0.62 1.21 2.06

5 AA5 1.73 1.14 1.19 1.56 1.16 1.41 1.58

6 AA6 1.9 1.8 1.95 2 1.55 1.75 2.1

7 AA7 1.75 -1.27 -1.66 0.03 -1.5 0.51 1.55

Then the value of each property Pkm (k=1...7,m=1....7)

where k ---> AA1.......AA7

m----> A....G

so

P1 =( Pkm - Uk/Sk )

Where Uk defined as mean of property k and is equal to 1\7 * Pkm

and Sk is defined as variance of property k and is eaual to 1/6(Pkm-Uk)2

So we want to calculate P1 so how to proceed with this problem??