But I know that certain types describe me a lot better than others, and it's clear that one which paints me as extroverted, feelings oriented and sensing is clearly wrong.
I think when it comes down to it, we take these tests for the enjoyment we get in reading about ourselves later. (The Great Facebook Personality Quiz Epidemic of Ought Nine is the foremost recent example of this in action.) It tickles that part of our brains that says "Someone's taken the time to get to know me—I must be important!", even if that someone is really an algorithm. And it's that, combined with all of the parts that are "right", that allows us to overlook the parts that are vague, over-generalized, right-but-with-certain-caveats, or flat-out wrong.