User talk:Team Rocket Grunt/Pokemon list

Average vs. Standard Deviation

Instead of averages, I suggest using the standard deviation.

For example, with Shuckle's base stats, the standard deviation would be 103.21.

Here is the formula:

floor(
  sqrt(
    (
      (({{{HP}}}-({{{HP}}}+{{{Attack}}}+{{{Defense}}}+{{{SpAtk}}}+{{{SpDef}}}+{{{Speed}}})/6)^2)+
      (({{{Attack}}}-({{{HP}}}+{{{Attack}}}+{{{Defense}}}+{{{SpAtk}}}+{{{SpDef}}}+{{{Speed}}})/6)^2)+
      (({{{Defense}}}-({{{HP}}}+{{{Attack}}}+{{{Defense}}}+{{{SpAtk}}}+{{{SpDef}}}+{{{Speed}}})/6)^2)+
      (({{{SpAtk}}}-({{{HP}}}+{{{Attack}}}+{{{Defense}}}+{{{SpAtk}}}+{{{SpDef}}}+{{{Speed}}})/6)^2)+
      (({{{SpDef}}}-({{{HP}}}+{{{Attack}}}+{{{Defense}}}+{{{SpAtk}}}+{{{SpDef}}}+{{{Speed}}})/6)^2)+
      (({{{Speed}}}-({{{HP}}}+{{{Attack}}}+{{{Defense}}}+{{{SpAtk}}}+{{{SpDef}}}+{{{Speed}}})/6)^2)
    )/6
  )*100
)/100

({{{HP}}}+{{{Attack}}}+{{{Defense}}}+{{{SpAtk}}}+{{{SpDef}}}+{{{Speed}}})/6 is a common subexpression for the average of all base stats.

About if average or standard deviation is better, what do you think? --C.Ezra.M_{rozmowa · sprawozdanie} 18:32, 15 February 2022 (UTC)

Both are interesting, but I'm sorry, what are we talking about? You'd like to add averages to this Pokemon list?--Rocket Grunt 18:51, 15 February 2022 (UTC)

The list of Pokémon by base stats already has averages, but if you sort by average, you get the same order as if you were ordering by base stat totals. But not if the sorting were by standard deviations. This page explains what is a standard deviation, and this one explains all the formulas behind it. --C.Ezra.M_{rozmowa · sprawozdanie} 20:39, 15 February 2022 (UTC)

Ok, but what use would it have? I doubt anyone else would find it interesting. Shuckle is probably the one Pokemon with highest deviation so it could get that in its trivia, but that's it.--Rocket Grunt 11:06, 16 February 2022 (UTC)