I have been researching into how to give a rating to the base stats of a Pokemon since last November. All the stats except Speed were relatively easy to interpret, but Speed proved to be a tough nut to crack... until last week.
I would like to make it clear before I continue that this analysis concerns only the base stats of the Pokemon, and nothing else. It's not only base stats that make a Pokemon, but typing, movepool and ability as well (and the Pokemon-exclusive item if it has any). Leaving those other three things out when considering a Pokemon for usage in your team is naive, to put it mildly.
With that out of the way, let's look at Arceus' base stats:
120/120/120/120/120/120
You might be thinking "this should surely rank highly in whatever base stats rating system you might care to invent". However, say the other Pokemon's base stats are all over 500. Then the above base stats wouldn't be looking terribly good, would they? This illustrates a point: a Pokemon's base stats are only good or bad compared to other Pokemon's base stats. And that is why the system which I devised attempts to give a rating to a set of base stats by comparing it to all the other Pokemon's base stats.
To do this, I had to resort to... you guessed it... the damage formula, which, after removing all unnecessary stuff out of it (for the purposes of this), it gets to something like
PercentDamage_i,j = 0.84 x Atk_i x MovePower / HP_j x Def_j
where
HP_n = 2 * (HP of Pokemon #n) + 141
Stat_n = 2 * (Stat of Pokemon #n) + 36
PercentDamage_i,j is the percentage damage that Pokemon #i deals to Pokemon #j.
Now I actually want to see both the attacking and special attacking prowess of the Pokemon, and, to be fair, I wanted the Pokemon to deal a move with the same move power both using the Atk stat and using the SpA stat. So I added the special attacking percentage damage to this as well, and divided by 2, getting:
Damage_i,j = (0.42 x MovePower / HP_j) x (Atk_i / Def_j + SpA_i / SpD_j)
Now I actually don't care much about the percentage damage dealt. What I care about is whether the move OHKOes, 2HKOes, 3HKOes, 4HKOes, etc. This nifty little formula gives us the number of hits needed to KO a Pokemon:
HTKO_i,j = ceil(1 / Damage_i,j)
where ceil(x) is x rounded up. Simple, huh? (HTKO_i,j stands for the number number of Hits To KO.)
Now, say Pokemon #1 can 2HKO Pokemon #2, while Pokemon #2 can OHKO Pokemon #1. It is obvious that Pokemon #2 would win the battle. So I defined the Hit Difference (HD) as:
HD_i,j = HTKO_i,j - HTKO_j,i
If HD_i,j is negative, then Pokemon #i would win against Pokemon #j. If HD_i,j is positive, then Pokemon #j would win against Pokemon #i. What if HD_i,j is zero? Then the faster Pokemon would win. This is where the Speed stat comes in! So here's the Win function:
Win_i,j = 1, if (HD_i,j < 0) or (HD_i,j = 0 and Spe_i > Spe_j)
Win_i,j = 0, otherwise
It can be shown that the following are true for all i,j:
HD_i,j = -HD_j,i
HD_i,i = 0
Win_i,i = 0
Win_i,j = 1 implies that Win_j,i = 0 (The converse to this is NOT true, however.)
Finally, the rating of the base stats of Pokemon i is defined as follows:
Rating_i = Win_i,1 + Win_i,2 + Win_i,3 + ... + Win_i,498
The final complication that occurs when implementing this is to give a value for MovePower in the Damage_i,j formula, on which all the other formulae are then based. In my implementation, I used the value of 135, which is the value you get when using a 90-power STAB move.
The result of the implementation was the following:
Besides obviously listing the stats of each Pokemon, the list above also contains the Base Stat Total (BST) before the rating, for comparison purposes.
Arceus' rating is 497, meaning that it 'wins' against 497 of the 498 Pokemon (the only Pokemon it doesn't 'win' against is Arceus itself). At the other end of the list, Shedinja's rating is 0, meaning that it 'wins' against none of the 498 Pokemon.
Note that the stats I used in the formulae above are those of the Pokemon at Level 100 with no EVs, to be fair for all Pokemon.
So there you have it: all the Pokemon's base stats rated.
From here, I'm going to use this as a basis to consider typing and movepools as well, to give a much better overall rating of a Pokemon. So that's the practical application of this, if you were wondering.
Thanks for reading, and sorry for the length of this post.
I would like to make it clear before I continue that this analysis concerns only the base stats of the Pokemon, and nothing else. It's not only base stats that make a Pokemon, but typing, movepool and ability as well (and the Pokemon-exclusive item if it has any). Leaving those other three things out when considering a Pokemon for usage in your team is naive, to put it mildly.
With that out of the way, let's look at Arceus' base stats:
120/120/120/120/120/120
You might be thinking "this should surely rank highly in whatever base stats rating system you might care to invent". However, say the other Pokemon's base stats are all over 500. Then the above base stats wouldn't be looking terribly good, would they? This illustrates a point: a Pokemon's base stats are only good or bad compared to other Pokemon's base stats. And that is why the system which I devised attempts to give a rating to a set of base stats by comparing it to all the other Pokemon's base stats.
To do this, I had to resort to... you guessed it... the damage formula, which, after removing all unnecessary stuff out of it (for the purposes of this), it gets to something like
PercentDamage_i,j = 0.84 x Atk_i x MovePower / HP_j x Def_j
where
HP_n = 2 * (HP of Pokemon #n) + 141
Stat_n = 2 * (Stat of Pokemon #n) + 36
PercentDamage_i,j is the percentage damage that Pokemon #i deals to Pokemon #j.
Now I actually want to see both the attacking and special attacking prowess of the Pokemon, and, to be fair, I wanted the Pokemon to deal a move with the same move power both using the Atk stat and using the SpA stat. So I added the special attacking percentage damage to this as well, and divided by 2, getting:
Damage_i,j = (0.42 x MovePower / HP_j) x (Atk_i / Def_j + SpA_i / SpD_j)
Now I actually don't care much about the percentage damage dealt. What I care about is whether the move OHKOes, 2HKOes, 3HKOes, 4HKOes, etc. This nifty little formula gives us the number of hits needed to KO a Pokemon:
HTKO_i,j = ceil(1 / Damage_i,j)
where ceil(x) is x rounded up. Simple, huh? (HTKO_i,j stands for the number number of Hits To KO.)
Now, say Pokemon #1 can 2HKO Pokemon #2, while Pokemon #2 can OHKO Pokemon #1. It is obvious that Pokemon #2 would win the battle. So I defined the Hit Difference (HD) as:
HD_i,j = HTKO_i,j - HTKO_j,i
If HD_i,j is negative, then Pokemon #i would win against Pokemon #j. If HD_i,j is positive, then Pokemon #j would win against Pokemon #i. What if HD_i,j is zero? Then the faster Pokemon would win. This is where the Speed stat comes in! So here's the Win function:
Win_i,j = 1, if (HD_i,j < 0) or (HD_i,j = 0 and Spe_i > Spe_j)
Win_i,j = 0, otherwise
It can be shown that the following are true for all i,j:
HD_i,j = -HD_j,i
HD_i,i = 0
Win_i,i = 0
Win_i,j = 1 implies that Win_j,i = 0 (The converse to this is NOT true, however.)
Finally, the rating of the base stats of Pokemon i is defined as follows:
Rating_i = Win_i,1 + Win_i,2 + Win_i,3 + ... + Win_i,498
The final complication that occurs when implementing this is to give a value for MovePower in the Damage_i,j formula, on which all the other formulae are then based. In my implementation, I used the value of 135, which is the value you get when using a 90-power STAB move.
The result of the implementation was the following:
Code:
Rank Name HP Atk Def SpA SpD Spe BST Rating
-----------------------------------------------------------
1 Arceus 120 120 120 120 120 120 720 497
2 Mewtwo 106 110 90 154 90 130 680 495
3 Lugia 106 90 130 90 154 110 680 494
4 Slaking 150 160 100 95 65 100 670 491
4 Regigigas 110 160 110 80 110 100 670 491
6 Palkia 90 120 100 150 120 100 680 490
7 Giratina 150 100 120 100 120 90 680 488
8 Ho-oh 106 130 90 110 154 90 680 486
8 Dialga 100 120 120 150 100 90 680 486
10 Kyogre 100 100 90 150 140 90 670 485
10 Rayquaza 105 150 90 150 90 95 680 485
12 Groudon 100 150 140 100 90 90 670 482
12 Garchomp 108 130 95 80 85 102 600 482
14 Latios 80 90 80 130 110 110 600 479
15 Tyranitar 100 134 110 95 100 61 600 476
15 Salamence 95 135 80 110 80 100 600 476
15 Darkrai 70 90 90 135 90 125 600 476
18 Cresselia 120 70 120 75 130 85 600 475
19 Mew 100 100 100 100 100 100 600 474
19 Celebi 100 100 100 100 100 100 600 474
19 Jirachi 100 100 100 100 100 100 600 474
19 Manaphy 100 100 100 100 100 100 600 474
19 Shaymin 100 100 100 100 100 100 600 474
24 Suicune 100 75 115 90 115 85 580 471
24 Latias 80 80 90 110 130 110 600 471
26 Raikou 90 85 75 115 100 115 580 469
27 Zapdos 90 90 85 125 90 100 580 468
28 Entei 115 115 85 90 75 100 580 467
29 Moltres 90 100 90 125 85 90 580 466
29 Heatran 91 90 106 130 106 77 600 466
31 Dragonite 91 134 95 100 100 80 600 465
32 Metagross 80 135 130 95 90 70 600 462
32 Uxie 75 75 130 75 130 95 580 462
34 Articuno 90 85 100 95 125 85 580 459
34 Deoxys 50 150 50 150 50 150 600 459
36 Snorlax 160 110 65 65 110 30 540 457
37 Registeel 80 75 150 75 150 50 580 455
38 Arcanine 90 110 80 100 80 95 555 454
38 Azelf 75 125 70 125 70 115 580 454
40 Deoxys-D 50 70 160 70 160 90 600 453
40 Mesprit 80 105 105 105 105 80 580 453
42 Lapras 130 85 80 85 95 60 535 445
43 Walrein 110 80 90 95 90 65 530 441
44 Milotic 95 60 79 100 125 81 540 439
45 Charizard 78 84 78 109 85 100 534 438
45 Typhlosion 78 84 78 109 85 100 534 438
45 Kingdra 75 95 95 95 95 85 540 438
45 Regirock 80 100 200 50 100 50 580 438
45 Porygon-Z 85 80 70 135 75 90 535 438
50 Regice 80 50 100 100 200 50 580 437
50 Magmortar 75 95 67 125 95 83 540 437
52 Swampert 100 110 90 85 90 60 535 436
53 Gyarados 95 125 79 60 100 81 540 435
53 Electivire 75 123 67 95 85 95 540 435
55 Infernape 76 104 71 104 71 108 534 434
56 Deoxys-S 50 95 90 95 90 180 600 431
57 Togekiss 85 50 95 120 115 80 545 430
58 Blaziken 80 120 70 110 70 80 530 428
58 Torterra 95 109 105 75 85 56 525 428
60 Lickilicky 110 85 95 80 95 50 515 427
61 Crobat 85 90 80 70 80 130 535 426
61 Hippowdon 108 112 118 68 72 47 525 426
61 Mamoswine 110 130 80 70 60 80 530 426
64 Sceptile 70 85 65 105 85 120 530 423
65 Flygon 80 100 80 80 80 100 520 422
66 Rhyperior 115 140 130 55 55 40 535 420
67 Feraligatr 85 105 100 79 83 78 530 419
67 Empoleon 84 86 88 111 101 60 530 419
69 Luxray 80 120 79 95 79 70 523 418
70 Blastoise 79 83 100 85 105 78 530 417
70 Vaporeon 130 65 60 110 95 65 525 417
70 Magnezone 70 70 115 130 90 60 535 417
73 Umbreon 95 65 110 60 130 65 525 415
74 Starmie 60 75 85 100 85 115 520 414
74 Yanmega 86 76 86 116 56 95 515 414
76 Lucario 70 110 70 115 70 90 525 411
77 Espeon 65 65 60 130 95 110 525 410
78 Meganium 80 82 100 83 100 80 525 408
79 Venusaur 80 82 83 100 100 80 525 406
79 Exeggutor 95 95 85 125 65 55 520 406
81 Porygon2 85 80 90 105 95 60 515 404
81 Glaceon 65 60 110 130 95 65 525 404
83 Leafeon 65 110 130 60 65 95 525 401
84 Golduck 80 82 78 95 80 85 500 400
85 Gallade 68 125 65 65 115 80 518 399
86 Flareon 65 130 60 95 110 65 525 398
87 Aerodactyl 80 105 65 60 75 130 515 396
88 Nidoking 81 92 77 85 75 85 495 395
89 Pinsir 65 125 100 55 70 85 500 394
89 Gardevoir 68 65 65 125 115 80 518 394
89 Tangrowth 100 100 125 110 50 50 535 394
92 Scyther 70 110 80 55 80 105 500 392
92 Machamp 90 130 80 65 85 55 505 392
94 Rapidash 65 100 70 80 80 105 500 391
94 Scizor 70 130 100 55 80 65 500 391
94 Jolteon 65 65 60 110 95 130 525 391
97 Slowbro 95 75 110 100 80 30 490 390
97 Muk 105 105 75 65 100 50 500 390
99 Toxicroak 83 106 65 86 65 85 490 389
100 Bronzong 67 89 116 79 116 33 500 388
101 Cradily 86 81 97 81 107 43 495 387
102 Ampharos 90 75 75 115 90 55 500 386
102 Slowking 95 75 80 100 110 30 490 386
104 Ursaring 90 130 75 75 75 55 500 385
105 Poliwrath 90 85 95 70 90 70 500 383
105 Tentacruel 80 70 65 80 120 100 515 383
105 Abomasnow 90 92 75 92 85 60 494 383
105 Weavile 70 120 65 45 85 125 510 383
109 Ninetales 73 76 75 81 100 100 505 382
109 Politoed 90 75 75 90 100 70 500 382
111 Heracross 80 125 75 40 95 85 500 381
111 Probopass 60 55 145 75 150 40 525 381
113 Nidoqueen 90 82 87 75 85 76 495 376
113 Gliscor 75 95 125 45 75 95 510 376
115 Kangaskhan 105 95 80 40 80 90 490 374
115 Exploud 104 91 63 91 63 68 480 374
117 Honchkrow 100 125 52 105 52 71 505 372
117 Armaldo 75 125 100 70 80 45 495 372
119 Kabutops 60 115 105 65 70 80 495 370
119 Shiftry 90 100 60 90 60 80 480 370
119 Drifblim 150 80 44 90 54 80 498 370
122 Skuntank 103 93 67 71 61 84 479 369
122 Wailord 170 90 45 90 45 60 500 369
124 Houndoom 75 90 50 110 80 95 500 368
125 Drapion 70 90 110 60 75 95 500 367
125 Rampardos 97 165 60 65 50 58 495 367
127 Dusknoir 45 100 135 65 135 45 525 366
127 Roserade 60 70 55 125 105 90 505 366
129 Magmar 65 95 57 100 85 93 495 365
130 Donphan 90 120 120 60 60 50 500 364
131 Mismagius 60 60 60 105 105 105 495 363
132 Miltank 95 80 105 40 70 100 490 362
133 Tauros 75 100 95 40 70 110 490 360
134 Gengar 60 65 60 130 75 110 500 359
134 Electabuzz 65 83 57 95 85 105 490 359
134 Gastrodon 111 83 68 92 82 39 475 359
137 Floatzel 85 105 55 85 50 115 495 358
138 Froslass 70 80 70 80 70 110 480 357
139 Gorebyss 55 84 105 114 75 52 485 356
140 Omastar 70 60 125 115 70 55 495 355
141 Aggron 70 110 180 60 60 50 530 354
141 Octillery 75 105 75 105 75 45 480 354
141 Huntail 55 104 105 94 75 52 485 354
144 Vileplume 75 80 85 100 90 50 480 353
144 Weezing 65 90 120 85 70 60 490 353
144 Relicanth 100 90 130 45 65 55 485 353
147 Victreebel 80 105 65 100 60 70 480 350
147 Altaria 75 70 90 70 105 80 490 350
149 Claydol 60 70 105 70 120 75 500 349
149 Glalie 80 80 80 80 80 80 480 349
149 Phione 80 80 80 80 80 80 480 349
152 Hariyama 144 120 60 40 60 50 474 348
153 Bellossom 75 80 85 90 100 50 480 347
154 Staraptor 85 120 70 50 50 100 475 346
154 Ambipom 75 100 66 60 66 115 482 346
156 Clefable 95 70 73 85 90 60 473 343
156 Manectric 70 75 60 105 60 105 475 343
158 Ludicolo 80 70 70 90 100 70 480 342
158 Swalot 100 73 83 73 83 55 467 342
160 Pidgeot 83 80 75 70 70 91 469 341
160 Spiritomb 50 92 108 92 108 35 485 341
162 Stantler 73 95 62 85 65 85 465 340
163 Xatu 65 75 70 95 70 95 470 339
164 Golem 80 110 130 55 65 45 485 338
164 Rhydon 105 130 120 45 45 40 485 338
164 Whiscash 110 78 73 76 71 60 468 338
167 Dewgong 90 70 80 70 95 70 475 337
167 Hypno 85 73 70 73 115 67 483 337
167 Torkoal 70 85 140 85 70 20 470 337
170 Lopunny 65 76 84 54 96 105 480 336
171 Vespiquen 70 80 102 80 102 40 474 335
172 Raichu 60 90 55 90 80 100 475 333
173 Tropius 99 68 83 72 87 51 460 328
174 Steelix 75 85 200 55 65 30 510 327
175 Bastiodon 60 52 168 47 138 30 495 326
175 Carnivine 74 100 72 90 72 46 454 326
177 Camerupt 70 100 70 105 75 40 460 322
178 Girafarig 70 80 65 90 65 85 455 321
178 Lumineon 69 69 76 69 86 91 460 321
180 Dodrio 60 110 70 60 60 100 460 320
180 Zangoose 73 115 60 60 60 90 458 320
182 Magneton 50 60 95 120 70 70 465 319
183 Primeape 65 105 60 60 70 95 455 318
183 Lanturn 125 58 58 76 76 67 460 318
185 Golbat 75 80 70 65 75 90 455 317
185 Kingler 55 130 115 50 50 75 515 317
185 Crawdaunt 63 120 85 90 55 55 468 317
185 Grumpig 80 45 65 90 110 80 470 317
189 Alakazam 55 50 45 135 85 120 490 314
189 Cloyster 50 95 180 85 45 70 525 314
191 Breloom 60 130 80 60 60 70 460 313
192 Absol 65 130 60 75 60 75 465 312
193 Purugly 71 82 64 64 59 112 452 307
194 Granbull 90 120 75 60 60 45 450 306
194 Seviper 73 100 60 100 60 65 458 306
194 Cherrim 70 60 70 87 78 85 450 306
197 Seaking 80 92 65 65 80 68 450 305
197 Sharpedo 70 120 40 95 40 95 460 305
197 Cacturne 70 115 60 115 60 55 475 305
200 Electrode 60 50 70 80 80 140 480 303
201 Venomoth 70 65 60 90 75 90 450 302
202 Piloswine 100 100 80 60 60 50 450 300
203 Banette 64 115 65 83 63 65 455 295
204 Fearow 65 90 65 61 61 100 442 294
205 Forretress 75 90 140 60 60 40 465 289
205 Skarmory 65 80 140 40 70 70 465 289
205 Rotom 50 50 77 95 77 91 440 289
208 Vigoroth 80 80 80 55 55 90 440 287
209 Persian 65 70 60 65 65 115 440 283
209 Dusclops 40 70 130 60 130 25 455 283
211 Mr. Mime 40 45 65 100 120 90 460 282
212 Jumpluff 75 55 70 55 85 110 450 281
212 Lunatone 70 55 65 95 85 70 440 281
214 Arbok 60 85 69 65 79 80 438 280
214 Hitmonchan 50 105 79 35 110 76 455 280
216 Sandslash 75 100 110 45 55 65 450 279
216 Mantine 65 40 70 80 140 70 465 279
216 Solrock 70 95 85 55 65 70 440 279
219 Hitmonlee 50 120 53 35 110 87 455 278
219 Misdreavus 60 60 60 85 85 85 435 278
221 Quagsire 95 85 85 65 65 35 430 277
222 Hitmontop 50 95 95 35 110 70 455 275
223 Qwilfish 65 95 75 55 55 85 430 273
224 Sunflora 75 75 55 105 85 30 425 272
225 Noctowl 100 50 50 76 96 70 442 268
226 Linoone 78 70 61 50 61 100 420 266
227 Chimecho 65 50 70 95 80 65 425 265
228 Mightyena 70 90 70 60 60 70 420 264
228 Bibarel 79 85 60 55 60 71 410 264
230 Dragonair 61 84 65 70 70 70 420 262
231 Deoxys-A 50 180 20 180 20 150 600 261
232 Pelipper 60 50 100 85 70 65 430 260
232 Gabite 68 90 65 50 55 82 410 260
232 Jynx 65 50 35 115 95 95 455 260
235 Castform 70 70 70 70 70 70 420 259
235 Seadra 55 65 95 95 45 85 440 259
237 Azumarill 100 50 80 50 80 50 410 257
238 Wigglytuff 140 70 45 75 50 45 425 255
239 Pupitar 70 84 70 65 70 51 410 254
240 Furret 85 76 64 45 55 90 415 253
240 Kecleon 60 90 70 60 120 40 440 253
242 Raticate 55 81 60 50 70 97 413 252
243 Dunsparce 100 70 70 65 65 45 415 251
244 Wormadam-S 60 69 95 69 95 36 424 250
244 Tangela 65 55 115 100 40 60 435 250
246 Sneasel 55 95 55 35 75 115 430 249
246 Wormadam-G 60 79 105 59 85 36 424 249
248 Gligar 65 75 105 35 65 85 430 248
249 Wormadam 60 59 85 79 105 36 424 247
250 Marowak 60 80 110 50 80 45 425 246
250 Masquerain 70 60 62 80 82 60 414 246
250 Sealeo 90 60 70 75 70 45 410 246
250 Mothim 70 94 50 94 50 66 424 246
254 Metang 60 75 100 55 80 50 420 245
255 Ivysaur 60 62 63 80 80 60 405 244
255 Shelgon 65 95 100 60 50 50 420 244
257 Munchlax 135 85 40 40 85 5 390 243
258 Machoke 80 100 70 50 60 45 405 242
259 Croconaw 65 80 80 59 63 58 405 241
259 Prinplup 64 66 68 81 76 50 405 241
261 Marshtomp 70 85 70 60 70 50 405 240
261 Illumise 65 47 55 73 75 85 400 240
263 Medicham 60 60 75 60 75 80 410 237
264 Volbeat 65 73 55 47 75 85 400 236
264 Grotle 75 89 85 55 65 36 405 236
266 Charmeleon 58 64 58 80 65 80 405 235
266 Quilava 58 64 58 80 65 80 405 235
268 Murkrow 60 85 42 85 42 91 405 233
269 Gloom 60 65 70 85 75 40 395 231
269 Sudowoodo 70 100 115 30 65 30 410 231
269 Swellow 60 85 60 50 50 125 430 231
269 Minun 60 40 50 75 85 95 405 231
273 Parasect 60 95 80 60 80 30 405 230
274 Ariados 70 90 70 60 60 40 390 229
274 Combusken 60 85 60 85 60 55 405 229
276 Porygon 65 60 70 85 75 40 395 227
277 Haunter 45 50 45 115 55 95 405 226
277 Wailmer 130 70 35 70 35 60 400 226
279 Wartortle 59 63 80 65 80 58 405 225
279 Monferno 64 78 52 78 52 81 405 225
279 Chatot 76 65 45 92 42 91 411 225
282 Bayleef 60 62 80 63 80 60 405 222
283 Ponyta 50 85 55 65 65 90 410 221
283 Lairon 60 90 140 50 50 40 430 221
285 Lickitung 90 55 75 60 75 30 385 219
286 Togetic 55 40 85 80 105 40 405 218
286 Magcargo 50 50 120 80 80 30 410 218
286 Kricketune 75 85 51 55 51 65 382 218
289 Kadabra 40 35 30 120 70 105 400 215
290 Delcatty 70 65 65 55 55 70 380 214
291 Sableye 50 75 75 65 65 50 380 213
292 Butterfree 60 45 50 80 80 70 385 212
293 Ninjask 61 90 45 50 50 160 456 211
293 Plusle 60 50 40 85 75 95 405 211
295 Wobbuffet 190 33 58 33 58 33 405 210
295 Grovyle 50 65 45 85 65 95 405 210
295 Mawile 50 85 85 55 55 50 380 210
298 Poliwhirl 65 65 65 50 50 90 385 209
299 Pachirisu 60 45 70 45 90 95 405 208
300 Blissey 255 10 10 75 135 55 540 206
301 Beedrill 65 80 40 45 80 75 385 201
301 Roselia 50 60 45 100 80 65 400 201
303 Flaaffy 70 55 55 80 60 45 365 198
304 Nidorina 70 62 67 55 55 56 365 197
304 Corsola 55 55 85 65 85 35 380 197
304 Beautifly 60 70 50 90 50 65 385 197
307 Graveler 55 95 115 45 45 35 390 194
308 Yanma 65 65 45 75 45 95 390 194
308 Dustox 60 50 70 50 90 65 385 194
310 Ledian 55 35 50 55 110 85 390 193
311 Dugtrio 35 80 50 50 70 120 405 190
312 Weepinbell 65 90 50 85 45 55 390 189
313 Nidorino 61 72 57 55 55 65 365 186
314 Spinda 60 60 60 60 60 60 360 185
315 Magby 45 75 37 70 55 83 365 183
315 Loudred 84 71 43 71 43 48 360 183
315 Lileep 66 41 77 61 87 23 355 183
318 Aipom 55 70 55 40 55 85 360 180
319 Pidgeotto 63 60 55 50 50 71 349 176
320 Luxio 60 85 49 60 49 60 363 175
321 Farfetch'd 52 65 55 58 62 60 352 168
321 Anorith 45 95 50 40 50 75 355 168
323 Elekid 45 63 37 65 55 95 360 166
324 Drifloon 90 50 34 60 44 70 348 165
325 Lombre 60 50 50 60 70 50 340 164
326 Buneary 55 66 44 44 56 85 350 163
327 Skiploom 55 45 50 45 65 80 340 162
328 Chinchou 75 38 38 56 56 67 330 159
329 Omanyte 35 40 100 90 55 35 355 155
329 Nosepass 30 45 135 45 90 30 375 155
331 Finneon 49 49 56 49 61 66 330 154
332 Growlithe 55 70 45 70 50 60 350 152
333 Vibrava 50 70 50 50 50 70 340 149
333 Snover 60 62 50 62 60 40 334 149
335 Staravia 55 75 50 40 40 80 340 148
336 Eevee 55 55 50 45 65 55 325 147
336 Teddiursa 60 80 50 50 50 40 330 147
338 Grimer 80 80 50 40 50 25 325 146
339 Seel 65 45 55 45 70 45 325 145
339 Nuzleaf 70 70 40 60 40 60 340 145
339 Clamperl 35 64 85 74 55 32 345 145
342 Kabuto 30 80 90 55 45 55 355 143
343 Cranidos 67 125 40 30 30 58 350 142
343 Stunky 63 63 47 41 41 74 329 142
345 Gastly 30 35 30 100 35 80 310 141
345 Staryu 30 45 55 70 55 85 340 141
345 Phanpy 90 60 60 40 40 40 330 141
345 Hippopotas 68 72 78 38 42 32 330 141
349 Shellos 76 48 48 57 62 34 325 139
350 Clefairy 70 45 48 60 65 35 323 138
350 Delibird 45 55 45 65 45 75 330 138
352 Chikorita 45 49 65 49 65 45 318 137
352 Buizel 55 65 35 60 30 85 330 137
354 Drowzee 60 48 45 43 90 42 328 136
354 Koffing 40 65 95 60 45 35 340 136
356 Squirtle 44 48 65 50 64 43 314 135
356 Unown 48 72 48 72 48 48 336 135
358 Rhyhorn 80 85 95 30 30 25 345 134
358 Houndour 45 60 30 80 50 65 330 134
358 Spoink 60 25 35 70 80 60 330 134
358 Turtwig 55 68 64 45 55 31 318 134
362 Goldeen 45 67 60 35 50 63 320 133
363 Slowpoke 90 65 65 40 40 15 315 132
364 Exeggcute 60 40 80 60 45 40 325 129
365 Mantyke 45 20 50 60 120 50 345 128
366 Venonat 60 55 50 40 55 45 305 127
366 Onix 35 45 160 30 45 70 385 127
366 Totodile 50 65 64 44 48 43 314 127
366 Piplup 53 51 53 61 56 40 314 127
366 Skorupi 40 50 90 30 55 65 330 127
371 Psyduck 50 52 48 65 50 55 320 125
372 Natu 40 50 45 70 45 70 320 124
373 Bulbasaur 45 49 49 65 65 45 318 122
373 Shieldon 30 42 118 42 88 30 350 122
375 Oddish 45 50 55 75 65 30 320 121
375 Doduo 35 85 45 35 35 75 310 121
375 Aron 50 70 100 40 40 30 330 121
378 Magnemite 25 35 70 95 55 45 325 115
379 Tentacool 40 40 35 50 100 70 335 113
379 Voltorb 40 30 50 55 55 100 330 113
381 Shuckle 20 10 230 10 230 5 505 112
382 Remoraid 35 65 35 65 35 65 300 111
382 Gulpin 70 43 53 43 53 40 302 111
382 Luvdisc 43 30 55 40 65 97 330 111
385 Cubone 50 50 95 40 50 35 320 110
385 Treecko 40 45 35 65 55 70 310 110
385 Swablu 45 40 60 40 75 50 310 110
388 Carvanha 45 90 20 65 20 65 305 109
389 Charmander 39 52 43 60 50 65 309 107
389 Cyndaquil 39 52 43 60 50 65 309 107
389 Chimchar 44 58 44 58 44 61 309 107
392 Mudkip 50 70 50 50 50 40 310 106
393 Pikachu 35 55 30 50 40 90 300 104
393 Machop 70 80 50 35 35 35 305 104
393 Gible 58 70 45 40 45 42 300 104
396 Snorunt 50 50 50 50 50 50 300 103
397 Larvitar 50 64 50 45 50 41 300 102
398 Mankey 40 80 35 35 45 70 305 101
398 Torchic 45 60 40 70 50 45 310 101
400 Baltoy 40 40 55 40 70 55 300 98
401 Spheal 70 40 50 55 50 25 290 97
401 Glameow 49 55 42 42 37 85 310 97
403 Abra 25 20 15 105 55 90 310 96
403 Dratini 41 64 45 50 50 50 300 96
403 Snubbull 60 80 50 40 40 30 300 96
406 Cacnea 50 85 40 85 40 35 335 95
406 Croagunk 48 61 40 61 40 50 300 95
408 Smoochum 45 30 15 85 65 65 305 94
408 Numel 60 60 40 65 45 35 305 94
410 Shroomish 60 40 60 40 60 35 295 93
410 Electrike 40 45 40 65 40 65 295 93
412 Beldum 40 55 80 35 60 30 300 92
413 Ditto 48 48 48 48 48 48 288 91
414 Vulpix 38 41 40 50 65 65 299 88
415 Barboach 50 48 43 46 41 60 288 86
416 Bonsly 50 80 95 10 45 10 290 85
417 Krabby 30 105 90 25 25 50 325 84
417 Corphish 43 80 65 50 35 35 308 84
419 Bagon 45 75 60 40 30 50 300 83
420 Horsea 30 40 70 70 25 60 295 82
421 Pineco 50 65 90 35 35 15 290 80
421 Chingling 45 30 50 65 50 45 285 80
421 Bronzor 57 24 86 24 86 23 300 80
424 Sandshrew 50 75 85 20 30 40 300 79
424 Poliwag 40 50 40 40 40 90 300 79
424 Mime Jr. 20 25 45 70 90 60 310 79
427 Ekans 35 60 44 40 54 55 288 77
427 Slakoth 60 60 60 35 35 30 280 77
427 Shuppet 44 75 35 63 33 45 295 77
430 Mareep 55 40 40 65 45 35 280 76
430 Trapinch 45 100 45 45 45 10 290 76
432 Paras 35 70 55 45 55 25 285 74
432 Riolu 40 70 40 35 40 60 285 74
434 Nidoran(f) 55 47 52 40 40 41 275 72
434 Geodude 40 80 100 30 30 20 300 72
436 Bellsprout 50 75 35 70 30 40 300 71
437 Chansey 250 5 5 35 105 50 450 70
438 Meowth 40 45 35 40 40 90 290 67
438 Meditite 30 40 55 40 55 60 280 67
440 Cherubi 45 35 45 62 53 35 275 66
441 Spearow 40 60 30 31 31 70 262 63
442 Budew 40 30 35 50 70 55 280 62
443 Nidoran(m) 46 57 40 40 40 50 273 59
443 Shellder 30 65 100 45 25 40 305 59
443 Kirlia 38 35 35 65 55 50 278 59
446 Diglett 10 55 25 35 45 95 265 58
447 Duskull 20 40 90 30 90 25 295 57
448 Taillow 40 55 30 30 30 85 270 56
448 Wingull 40 30 30 55 30 85 270 56
450 Wynaut 95 23 48 23 48 23 260 51
450 Bidoof 59 45 40 35 40 31 250 51
452 Shinx 45 65 34 40 34 45 263 50
453 Surskit 40 30 32 50 52 65 269 49
454 Skitty 50 45 45 35 35 50 260 48
455 Rattata 30 56 35 25 35 72 253 47
455 Jigglypuff 115 45 20 45 25 20 270 47
457 Hoothoot 60 30 30 36 56 50 262 43
458 Pidgey 40 45 40 35 35 56 251 42
459 Spinarak 40 60 40 40 40 30 250 41
460 Swinub 50 50 40 30 30 50 250 38
460 Nincada 31 45 90 30 30 40 266 38
462 Ledyba 40 20 30 40 80 55 265 37
462 Starly 40 55 30 30 30 60 245 37
464 Togepi 35 20 65 40 65 20 245 35
465 Hoppip 35 35 40 35 55 50 250 34
466 Marill 70 20 50 20 50 40 250 33
466 Slugma 40 40 40 70 40 20 250 33
466 Makuhita 72 60 30 20 30 25 237 33
469 Zubat 40 45 35 30 40 55 245 32
469 Whismur 64 51 23 51 23 28 240 32
471 Burmy 40 29 45 29 45 36 224 31
472 Combee 30 30 42 30 42 70 244 30
473 Smeargle 55 20 35 20 45 75 250 29
473 Zigzagoon 38 30 41 30 41 60 240 29
475 Poochyena 35 55 35 30 30 35 220 22
476 Seedot 40 40 50 30 30 30 220 21
477 Sentret 35 46 34 35 45 20 215 20
477 Lotad 40 30 30 40 50 30 220 20
479 Pichu 20 40 15 35 35 60 205 18
480 Cleffa 50 25 28 45 55 15 218 17
481 Tyrogue 35 35 35 35 35 35 210 16
482 Kakuna 45 25 50 25 25 35 205 15
482 Silcoon 50 35 55 25 25 15 205 15
482 Cascoon 50 35 55 25 25 15 205 15
482 Kricketot 37 25 41 25 41 25 194 15
486 Metapod 50 20 55 25 25 30 205 14
487 Wooper 55 45 45 25 25 15 210 13
487 Ralts 28 25 25 45 35 40 198 13
489 Caterpie 45 30 35 20 20 45 195 11
490 Wurmple 45 45 35 20 30 20 195 10
491 Weedle 40 35 30 20 20 50 195 8
491 Igglybuff 90 30 15 40 20 15 210 8
493 Azurill 50 20 40 20 40 20 190 7
494 Sunkern 30 30 30 30 30 30 180 5
495 Feebas 20 15 20 10 55 80 200 2
495 Happiny 100 5 5 15 65 30 220 2
497 Magikarp 20 10 55 15 20 80 200 1
498 Shedinja 1 90 45 30 30 40 236 0Besides obviously listing the stats of each Pokemon, the list above also contains the Base Stat Total (BST) before the rating, for comparison purposes.
Arceus' rating is 497, meaning that it 'wins' against 497 of the 498 Pokemon (the only Pokemon it doesn't 'win' against is Arceus itself). At the other end of the list, Shedinja's rating is 0, meaning that it 'wins' against none of the 498 Pokemon.
Note that the stats I used in the formulae above are those of the Pokemon at Level 100 with no EVs, to be fair for all Pokemon.
So there you have it: all the Pokemon's base stats rated.
From here, I'm going to use this as a basis to consider typing and movepools as well, to give a much better overall rating of a Pokemon. So that's the practical application of this, if you were wondering.
Thanks for reading, and sorry for the length of this post.
