The expected number of shares in a given time period is not normally distributed,it's Poisson distributed, so normalisation matters - not that it's advisable to do this with a discrete probability distribution. Did you attempt to calculate results for yourself? I provided you with the link for that purpose.
You could try this too: http://organofcorti.blogspot.com/2012/10/71-variable-pool-difficulty.html
It's about pool difficulty, but you can see how it applies to this discussion.
tl;dr: The higher your hashrate : difficulty ratio, the lower your variance.
Edit: When you write "i do not want to argue" I read that as "I don't want to find out if I'm wrong or right". Come on - man up!
If you can convince me I'm wrong I'll happily admit it. That's how science works.