What stats are in KonoSuba world and what do they do? In KonoSuba's first episode, Aqua is said to have extremely high stats on all stats but below average intelligence and worst luck. Then, she was told that she can be anything but Arch Wizard since it requires intelligence. Arch Wizard, being a Wizard, and as we can see from Megumin, is a class that uses magic to attack. Aqua's low intelligence prevents her from becoming a Arch Wizard, means that magic is related to intelligence.

When they checked Megumin's adventurer card, both Kazuma and Aqua mentioned that Megumin, being from the Crimson Demon clan, has a very high intelligence and is an Arch Wizard. It was also shown that Megumin can cast advanced spell, Explosion although only once a day due to her limited mana.

However, during the fight with Dullahan, Aqua cast Sacred Create Water on a level where it destroyed the gate of the city, causing damage on the level of Megumin's Explosion if not higher.

My question is, since Aqua can't be Arch Wizard due to her low intelligence, while she shows that she can do magic on the level that of Megumin, then what does the intelligence stats do in KonoSuba world? While at it, what are the other stats in KonoSuba and what do they do?
Firstly, Stats are required for Adventurers to join a Class (of fulfilled requirements), which is somewhat important in the Konosuba universe as picking up an advanced Class as soon as possible reduces the skill-point cost of their Class' Skills. Also, upgrading to an advanced Class rewards adventurers with bonus skill points and makes their Class' Skills readily available without requiring a demonstration.

On the wiki, it was said that:


  Kazuma, the main character of the show, has average stats, except in:
  
  
  Luck: He has extraordinary high luck, so high that even Luna was surprised though she claims its numerical value isn't really essential to an adventurer.
  
  
  Due to his high LUCK, Kazuma's "Steal" is very effective in stealing either his intended target item or the most treasured item of the victim. When he used "Steal" on girls, he gets their panties at absurdly high chance, but it is not entirely clear whether Kazuma strongly wishes for those or the girls treasure their panties the most.


Demonstrated a few times, Spells can gain bonuses from the user's raw stats. Another example is Create Water, where the effect scales proportional to the amount of mana spent; Aqua can use "Sacred Create Water" which flooded the entire area and destroyed one of Axel town gates, causing 340+ million Eris in damage.

Apparently the Stats on the Adventurer's Cards shown in the Anime series could be deciphered. They would be:


Strength
Health
Magic-pow
Dexterity
Agility
Luck


While not every stat type is explored, they seem to be self-explanatory (Megumin with high "magic power" could use the strongest Explosion magic) as attributed of the characters. It would be safe to assume that the Stats make up who they are as intel than as assets.