Thought I had this but maybe not.
My ave putts per hole is 1.56 so 28.08 for an 18 hole round.
If I add the %'s for each distance in my average I get 63.57%, this as a percentage of 28.08 gives me 17.85 putts. Looks to me like successful putts but not necessarily first putts.
A breakdown would be 0-5ft 44.60% = 12.52 putts per round
5-10ft 12.50% = 3.51
10-25ft 5.92% = 1.66
25ft-50ft 0.52% = 0.15
Total Soccessful = 17.84
Missed = 10.23
Total putts each 18 = 28.07
So the %'s in the distance section just tell what distance your final putt is from. The first bracket (5-10ft) would seem to me to be of minimal help in showing how good a putter you are as this could be where your approaches or first putts often land. Better to look at putts per hole.
Don't really know why 17.84 not 18, maybe the occasional holed approach (?)
Scott's would be 1.56 per hole = 28.08 for 18 holes with the groups giving: 13.94 putts (at 0-5ft), 2.91 (5-10ft), 1.45 (10-25ft) and 0.11 (25-50ft). Total 17.81(2) putts each 18 holes with 10.26 putts missed.
Sorry if this is all nonsense, makes sense to me but perhaps only to me.