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For example, a Timid Volcarona with 156 speed EVs is supposed to have 303 as its speed stat. What I want to know is whether this is for a Volcarona trained from level 1 to level 100, or whether evolution is taken into account as you can't have a level 1 Volcarona.

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Any Volcarona that is Level 100, Timid, has 31 IVs in Speed, and 156 Speed EVs will have 303 Speed. You don't need to train Volcarona from Level 1 to obtain those stats. But often times, you do need to train Level 1 because a Perfect Speed IV is hard to come by in the wild.

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Thanks so much. I actually just used my own perfect Gengar to answer my own question. :p