Golf Putters Clubs

I want to start tracking my putting average when I play golf, just like the official stat tracked by the PGA...but I have a couple questions about how the PGA tracks that statistic...

#1- Does it include average putts per hole on ALL holes, or, only on holes where the player hit the green-in-regulation? Because if it's all holes, I'd assume golfers with poor approach shots have better putting averages, because their first putt is often following a short chip from an approach shot that missed the green, leaving them with lots of 1-putt opportunities.

#2- Does it include any shot taken with a putter, or, only putts from on the green? For example, on a par 5 today, my 2nd shot made it to the fringe. I then proceeded to lag from the fringe with a putter within about a foot, and tap that putt in for birdie. So is that a 1-putt green, or a 2-putt green?

Anyway, if somebody that knows how the Tour calculates these finer points could respond, I'd appreciate it.