YOU measure the way YOU want..
Nose to base of tail = standard length..
nose to end of tail = Total length..
where did you buy yours..?
a 3" discus.. (from a quality breeder) should be around 3 months or so..
if you bought 3" discus from LFS.. it could be a 9 month old discus..
so there is no clear cut answer.. UNLESS you know the breeder and he/she can tell you when eggs were layed, when there were wigglers.. etc..
if all is done correctly.. discus grow about 1" for each month for 4 months... then growth slows down big time.. but will still keep growing..
of course..this is all related to food feed, number of feedings, water changes, culling, genetics *spawn will grow at different rates*..