I'm currently playing a high Wisdom, low Intelligence and charisma fighter. When I look at his stats I try to consider how he gets through the day.
His low charisma means that nobody listens to him. If he knows someone is wrong, he's not going to convince them of that, he's tried and failed too many times in the past.
His low Intelligence means that he doesn't know many things and has trouble grasping new concepts. This means that he is often proven wrong, even when he "knows" he right, especially if it is about weird things like science and magic (basically the same thing to him).
His high wisdom means that he does a lot with what little he does know and is observant. He thinks in simple truths and doesn't worry about the minutia. He sees fire, he get water to put it out, even if it is a talking fire.
I combine these things together to inform his personality. He's a follower, who relies on others to do the thinking for him. Maybe he could be someone's adviser, but he's not a leader. He often ask a lot of questions like "what should we do?" and "Do you think we can do that?". However, he often comes off as silent and brutish because he doesn't see the value of discussing the answers to those questions. When something needs to be done right then, he does it alone without talking to anyone else because that would take to long (sees a monster spying on them, chases after them without saying anything). He prefers his solutions to be simple and elegant. Without a high wisdom, I would play him to be more of a minion, not considering why he's doing something or even it it will help.
The point is that, a good starting point for you're character's personality is asking how they deal with conflict. For the sake of brevity, I won't discuss how the physical stats affect personality, but I will say that my character is a dexterity-based fighter with a good constitution and average strength. So, I have to take in to account he doesn't brute force his way through conflicts (combat or otherwise).