Quote Originally Posted by DarthEnder
And yet, that's counter to what's stated at the beginning of the series.

Besides, they wanted to make Jiraya Hokage. He turned it down.
At the beginning of the series, they stated that the strongest shinobi in the village becomes hokage. I think they might've meant the shinobi strongest cumulatively in both strength and leadership, otherwise someone like kabuto or orochimaru might become hokage.

Or let's say if hinata became the strongest. Even though she is the strongest, she is obviously not fit to be a leader.

Jiraiya on the other hand, although Tsunade may be a better leader, Jiraiya would be fit enough to be a leader. The only reason they offered Jiraiya before Tsunade, I believe, is because they did not know where Tsunade was.