I found this on a gamepedia website. I'm not sure if the info is true, but I'll assume the people that wrote this information down know the gist of the merging system.
+1 The highest, and second highest Level 1 base stat.
+2 The third highest, and fourth highest Level 1 base stat.
+3 The fifth highest base stat, and the highest base Level 1 stat again.
+4 The second highest, and third highest Level 1 base stats, again.
+5 The fourth highest, and the fifth highest Level 1 base stats, again.
+6 Same as +1
+7 Same as +2
+8 Same as +3
+9 Same as +4
+10 Same as +5
In which, I believe this is true. I recently merged my Mae to 5* +3 and she raised in defense (5th highest base stat) and it also raised her HP (Highest base stat, which makes since since everyone always has HP as their highest starting base stat)
All in all, I assume that every hero merged to +10 gains at least 4 points in every stat by the end? I'm not certain, but that must be the case.
Takes this info as you like, as I'm also unsure of this, but I think the data is true.
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Fate Grand Order
Dragonball Legends
IV Calc
Heroes