I'd advise you to stop thinking about these times as being "correct" or "wrong" (two words you've used). The meaning of "suggested starting points" (Ann's words) is that these times will get you somewhere in the ballpark that most photographers consider acceptable. The best time depends on a number of factors, including your personal agitation style, any inaccuracy in your thermometer, whether you're using a condenser or diffusion enlarger, the paper on which you print, and your personal preferences. With all these variables, a range of suggested starting points of 10:00 to 12:30 isn't all that unusual. There are lots of Web sites with unofficial suggested developing times, and they often vary by this much, or perhaps even more.
As a practical matter, you can try 10:00, 12:30, or some in-between point. If you don't want to risk improper development of an important roll, shoot a test roll of "junk" shots (but be sure you've properly exposed them) to see how a given time works. If you don't like the results, do it again until you get acceptable results.