What are the top and bottom five fully evolved Pokemon of each stat?

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This list is discounting legendaries.

Highest

HPBlissey (255)Chansey (250)Wobbuffet (190)Wailord (170)Alomomola (165)Snorlax (160)

AtkRampardos (165)Slaking (160)Haxorus (147)Rhyperior + Conkeldurr + Darmanitan + Archeops (140)Salamence (135)

DefShuckle (230)Steelix (200)Cloyster + Aggron (180)Bastiodon (168)Probopass (145)

Sp. AkChandelure (145)Darmanitan-Z (140)Alakazam (135)Porygon-Z (135)Volcarona (135)

Sp. DefShuckle (230)Probopass (150)Mantine (140)Bastiodon (138)Blissey (135) & Dusknoir (135)

SpeedNinjask (160)Accelgor (145)Electrode (140)Jolteon + Aerodactyl + Crobat (130)Swellow (125)

Source

Lowest

HPShedinja (1)Shuckle (20)Dugtrio (35)Mr. Mime (40)Luvdisc (43)

AtkShuckle + Blissey (10)Chansey (5)Smeargle (20)Luvdisc + Darmanitan-Z (30)Woobuffet (33)Ledian (35)

DefBlissey (10)Chansey (5)Cryogonal (30)Smeargle & Jynx (35)Plusle + Accelgor + Beedrill + Sharpedo (40)Drifblim (44)

Sp. AkShuckle (10)Smeargle (20)Shedinja + Darmantian + Swak + Thorh + Sudowoodo (30)Woobuffet (33)Hitmonlee/chan/top (35)

Sp. DefShedinja (30)Sharpedo (40)Chatot (42)Smeargle + Alomomola + Delibird + Cloyster + Wailord (45)Ditto (48)

SpeedShuckle (5)Torkoal + Escavalier + Ferrothorn (20)Gigalith (25)Musharna (29)Sudowoodo + Steelix + Parasect + Magcargo + Amoonguss + Slowbro + Sunflora + Reuniclus + Cofagrigus + Snorlax + Slowking + Bastiodon (30)

Source