I believe he's asking if the site is more likely to wait for a higher activity number before rewarding Legendary. The answer is no; it's 100% random between the two set points. Due to people's luck and the nature of the activity system it can look like it does lean more heavily to the higher side, though it doesn't.
Technically random does not really exist for a computer, however that is a complicated matter. Depending on how much a person is familiar with the underlying technology and e.g. various programming languages they would know. Some numbers are going to get chosen a much higher number of times in comparison to others.
OMG. I just thought of this now. Has anyone ever bought a potential legendary member account, and then level'd it up to legendary in one day?
They would most likely get banned if they did that within one day (most likely by spamming).