Listed below are the $2023$ regular season standings for the three divisions of the American League. What is the standard deviation of winning percent for the AL East, standard deviation of the al central, standard deviation of the al west, and most competitive balance in $2023?$

$\backslash$table$[[$AL East,$\backslash$table$[[$Winning$],[$Percent$]],$AL Central,$\backslash$table$[[$Winning$],[$Percent$]],$AL West,$\backslash$table$[[$Winning$],[$Percent$]]],[$Orioles$,0\mathrm{.}623,$Twins,$0\mathrm{.}537,$Astros,$0\mathrm{.}556],[$Rays$,0\mathrm{.}611,$Tigers,$0\mathrm{.}481,$Rangers,$0\mathrm{.}556],[\backslash$table$[[$Blue$],[$Jays$]],0\mathrm{.}549,$Guardians,$0\mathrm{.}469,$Mariners,$0\mathrm{.}543],[$Yankees$,0\mathrm{.}506,\backslash$table$[[$White$],[$Sox$]],0\mathrm{.}377,$Angels,$0\mathrm{.}451],[$Red Sox,$0\mathrm{.}481,$Royals,$0\mathrm{.}346,$Athletics,$0\mathrm{.}309]]$