[Coda]

The overall assessment judges the combined total of the Pokemon's stats. The top tier message there means that the total is 37 or higher, with a possible maximum of 45.

The description of the Pokemon's stats is actually a description of just how good the Pokemon's highest stat (singular). The top tier message there means it's a 15, and the next tier down means 13-14. That said, if the appraiser lists two top stats, obviously that number applies to both of them. (An absolutely perfect Pokemon would list all three stats.)

You can sort of pick up the other stats by implication. If the Pokemon is listed as being a "wonder" (to use the Team Mystic label) but it only has one top stat which is only listed as "impressed" (instead of "incredible") then you know its total must be at least 37, but it couldn't possibly be higher than 40. The only possible stat spreads or this combination, then, are 13/12/12, 14/12/11, and 14/13/10. Any other combination would mean that the report would say something different.

Conversely, if it's listed as "caught my attention" but the top stat is "incredible" that means its stat total is 30-36, and one of those stats is a 15, which means that either one stat is complete garbage, or both other stats are middling. (It's theoretically possible for a "caught my attention" Pokemon to have two incredible stats. That would mean 15/15/0.)

Online calculators can combine these reports with the values known to you -- the Pokemon's CP, HP, and level (a maxed out Pokemon's level is equal to twice your trainer level) -- as well as the master list of the Pokemon species' base stats (which is derived from the stat tables in the main-series games) to figure out what possible combinations of values could give the results you see. It's PROBABLY not important to know it at that precision because the game mechanics never make a direct stat-to-stat matchup a deciding factor: the fact that you never have direct human-vs-human battles means that you're not trying to optimize around surviving attacks with a sliver of health like the metagame in the main-series games does.

Just knowing that your sweeper-type has high Attack or that your tank-type has high Defense is good enough.