Has anyone compiled data on the average summoner level per minute?

I'm gonna end up doing it myself if nobody knows, but I'd rather save myself the time if someone's already done it...

What is the average summoner level in a game at each minute in the game, up to 60 minutes?

For example, I'm sure just about everyone hits level 2 right around 2:05-2:15... somewhere in that range. Maybe less.

What about 3? 4? 5? etc?

Thanks in advance for your effort/data (if anyone can provide it)

Otherwise, stay tuned and I'll update this thread in about a week or so with my own data.