Above is a link to an article on a martial arts website that I frequent that resonated with what I have said to many parents and students about kata. Simply looking up the name of the kata you are practicing on youtube will not necessarily get you the same rendition of it that is practiced in our dojo. This article uses Seisan (the 6th kata taught in our dojo) as an example and shows several examples of the different versions of the kata in the different styles of karate.
It is important not to think of a single version of a kata as being the "correct" one. The different varieties reflect different interpretations of the techniques. Different applications/tichiki are more prominent in certain versions so by looking at a version of a kata that may not be your own may give you clues to the meanings of different techniques.