It depends on when I realize the game is mediocre.

The most recent examples I can think of are FF7 Rebirth and Mario and Luigi Brothership. I had fun with both of them at the beginning, but by the end it was a slog. I'm not necessarily calling them mediocre, but by the end I wasn't having fun. But, by the time that happened, I was far enough into them that I wanted to see the end, and in the case of Rebirth, I did genuinely want to see how the story played out.

But if a game is just not good from the outset, odds are if I bought it, I stopped very early on.

got distracted by an ape named DK. Ended up being one of my all time favorite games…so Stellar has been placed on a hiatus. I’ll get back to it somebody, like how I did with Animal Well.

A 5/10 has just as much bad as good. So it being so borderline means I tend to drop it for something with more good than bad.

4 is more bad than good. Definitely dropped.

3 is so bad I could cry.

2 is infuriatingly bad.

1 or 0 is I rather do almost anything else.

I'm very picky to start with and I have a keen sense of what I will like and what I will not, so not many turds make it through in the first place.
However, if that happens, I'm quick to dismiss such a game. I need to actually enjoy it, or I'm wasting my time.

I beat mediocre games with a lead pipe or a crowbar. Much like Chris… on second thought, I’m not doing that joke.

Sure. There can be a lot of charm to kinda mediocre games. I just beat games I like for whatever reason.

And to add to that, for the people who go 8 and up, they'll never find the hidden gems. It might be a pain and a partial waste of time for we who wade through the mud but we end up finding diamonds in the rough. Dust an Elysian tail turned out to be my best in genre and it started as mediocre as a game could possibly be. 

Ya have to do the joke now... c'mon, I don't get it.