Help needed with postgres stats and math

Hi,

I'm on Postgres 9.3.5, however I think my knowledge of Postgres is not deep enough to help me with this challenge, so
hereI am reaching out to the community ! 

Let's say I have a table as follows :

create table t_subs (alpha text,bravo text,charlie numeric,delta numeric,echo numeric,foxtrot numeric);

And let's say I have a view that does some basic filtering on that table

create view v_subs as select alpha,delta,echo,foxtrot from t_subs where charlie>=5 and bravo not in ('this','that');

What I need to do is order the output of the view based on normalised output of delta,echo and foxtrot.

So, what I need to do is :

1/ Calculate normalised values for each column and row....

deltaNorm = (delta - avg(delta))/stddev(delta)
echoNorm = (echo - avg(echo))/stddev(echo)

foxtrotNorm = (foxtrot - avg(foxtrot))/stddev(foxtrot)
normSum = deltaNorm + echoNorm + foxtrotNorm

2/ order desc on normSum

The problem is I cannot seem to find a way to do this in one query.

Thanks in advance for your help !

Tim