I noticed this other day when i upgraded a couple of shouts to their 2nd and 3rd levels. Whenever I use a shout, for example unrelenting force, i hold down the button to cast the highest level of the shout, and it works, i cast the strongest version fine, the problem is with the voicing. My character will say FUS then the level three shout will be used, then there is a one or sometimes 2 second wait and my character says RO DAH really quikcly afterwards. It sounds really unnatural and I was wondering if this was meant to happen.
Its the same with whirlwind sprint, I'll use the shout at the more powerful level, he'll say the first word, the shout activates and i dash forward, then then is a two second gap and he says the remaining two words. This happens with the fire and frost breath shout, though i havent tried it with any others as the others are all still level one.

My question is, is this is how its meant to be, cus its sounds really weird and unnatural, or is this in fact a glitch as well? Anyone else having the same thing?

Just to be sure,
I'm on a new slim 250gb 360 with the game installed.

Ok now my character is not even saying the other words. No one else is having this happen?

Havent gotten that far. The problem I have encountered however is that I press the shout button and nothing happens. Then, if I try to change shout, the game says "Cant unequip shout while shouting". After something like 10 seconds I press the button and shout just fine. Its pretty annoying in tight fights.

i love the idea of shouting, though not it svcks cus my guy either doesn't say anything or only says the first word. :S
Hope it works for you though it sounds a bit bugged as well.

Sometimes when I shout the games freezes for a second before anything happens.

I've had both problems.
I think sometimes the game just takes a moment to load the sound, but it goes ahead without the shout anyway and just plays the sound late.

As for the "pressing RB but there's no shout, but then I can't change shouts because I am actually shouting, and then I die", I don't know what that it is. It happens fairly often, though, and it is extremely annoying.