tl/dr: My arguments here are somewhat in jest, but only to illustrate the point that the question of an admin's value to the server, and/or the effort they exert, cannot be taken seriously from a 30-day sample of log files. Likewise, just throwing around a stat like that to try to strengthen the argument doesn't achieve its intended purpose.

...

To be perfectly honest, I found duckweed's joke funnier.

The OP is amusing, and kind of an interesting idea, I think. But I have to agree with Robert here. But maybe I'll go even further than that...

In some ways, I'd almost prefer not having admins. People always scoff at the idea, and then make some comment about Yahoo go and the lack of structure there - or something like that. But I can't recall a single instance that I really wished that someone would be banned, whereas I do recall times where I was a little upset with an admin's apparent decision to ban someone.

I'm pretty sure I'm in the minority here, but I'd be pretty happy with a server that had no admins. I guess the only thing I can think of that would bug me is spam (which has a different meaning to different people).