The Versatile Pokemon

ContentsIntroduction3Context: Pokmon X and Y3Thesis of this Assignment3Defining Versatile3Constraints3Statistics (Each bast stat)4Pokmon with the highest Attack4Pokmon with the highest Special Attack5Pokmon with the highest Defence6Pokmon with the highest Special Defence7Pokmon with the highest Health Points (HP)8Pokmon with the highest SPeed9Formulas10A quick note10Calculating Speed, Attack, Sp. Attack, Defence, Sp. Defence and HP10Example10Calculating Damage11Example11Step 1: Process of Elimination by survivability and pure offensive12Finding the Average Attack, Special Attack, Defence and SPecial Defence12Attack Stat13Calculating Damage Dealt and Number of Turns to KO13Implementing formula to Attack Pokmon sample13Special Attack Stat15Calculating Damage Dealt and Number of Turns to KO15Implementing formula to Special Attack Pokmon sample16Defence Stat17Calculating survivability based on average Attack17Implementing formula to Defence Stat Pokmon sample18Special Defence Stat20Calculating survivability based on average SPecial Attack20Implementing formula to Special Defence Stat Pokmon sample20Step 2: Type effectiveness and move pool22Type effectiveness, how it works.22Attack Stat Effectiveness23.0The most Versatile Attack-based POkemon23.0Special Attack type Effectiveness24.1The most Versatile Special Attack-based POkemon24.1Defence Type Effectiveness25.2The most Versatile Special Attack-based POkemon25.2Conclusion/Findings26.3Most versatile Pokmon in terms of Attack26.3Most versatile Pokmon in terms of SPecial Attack26.3Most versatile Pokmon in terms of Defence26.3Most versatile Pokmon in terms of SPecial Defence26.3Bibliography27.4

IntroductionContext: Pokmon X and YPokmon X & Y is the sixth generation of the highly successful Pokmon video game franchise, selling over 10.5 million copies worldwide (VGChartz, 2014). The game is an adventure role-playing game (RPG), with turn-based battles with creatures known as Pokmon, in a 3-Dimensional, sandbox environment which the player navigates through by controlling the avatar. Thesis of this AssignmentThe aim of this assignment is to determine the most versatile Pokmon in accordance to each base stat present among 50 samples of Pokmon (highest in predetermined stat to lowest) within the current generation of games in the Pokmon franchise, Pokmon X & Y. The six stats that will be analysed will be Special Attack, Attack, Special Defence and Defence, in correlation with each Pokmons Health Points (For Defence, Special Defence) and Speed (For Attack, Special Attack).Defining VersatileA textbook definition of versatile would be The ability to adapt or be adapted into many different functions or activities (Oxford Dictionaries, 2014). For the purpose of this assignment, when defining versatile in context to Pokmon X & Y, it would be the aptitude of each Pokmon to adapt to a variety of different situations in battle, compared to similar Pokmon in the chosen stat.ConstraintsIn order to provide the most accurate results without any discrepancies, a number of constraints will be placed upon this assignment. ConstraintReason

A sample of 50 Pokmon will be taken for each stat.Top Pokmon of each stat, prevents the need to analyse Pokmon that have low stats in the chosen area.

Mega-Evolutions will not be included in the sample.Stat change to great will make discrepancies.

Natures, Effort Values and Individual Values will not be calculated. And decimal points will be rounded to the nearest whole number.It will deliver discrepancies into the collected data. And a large number of simulations will have to be developed.

In the last stage of elimination, the possible abilities of each Pokmon candidate will be analysed, and the ability that works best with the Pokmon will be used.As each Pokmon has access to 2-3 abilities, each one will be analysed to observe which ability best suits the Pokmon.

Legendary Pokmon will not be included in the sample.Stat values are too high compared to non-legendary Pokmon, will make discrepancies.

The sample will only contain fully evolved PokmonSo the values stay consistent.

HP will be directly correlated with Defence or Special Defence, and Speed will be directly correlated with Attack or Special AttackBecause of their relation to these stats, versatility of each Pokmon cannot be correctly correlated unless in relation.

Pokmon with two varying forms that activate in battles will not be calculateDiscrepancies in statistics.

Pokmon levels are set to 100, but maximum stats are not calculated, only the BASE stats,To assure the quality of the statistics gathered. And to compare the base stats brings no discrepancies.

Statistics (Each bast stat)Pokmon with the highest AttackPokmonAttackAverage Attack ((Sum of Attack values) / (Number of Pokmon)) = 129From this sample, we can determine the average of Attack stats, and therefore determine the number of turns it takes for the average Attack-based Pokmon to faint its opponent based on HP and Defence.It is also important to check if the data values are too spread out or not. A good way to check is too calculate the standard deviation, so...(Then find the average of each squared value, thereforeVariance = 92.8384Standard Deviation = Standard Deviation = 9.635269The Standard Deviation value is small in correlation with the Attack values of the Pokmon sample; therefore we can determine that the spread of the Attack values are small, preventing discrepancies in calculating the average data.

Rampardos165Heracross125

Slaking160Armaldo125

Haxorus147Sawk125

Rhyperior140Gallade125

Conkeldurr140Pinsir125

Darmanitan140Bisharp125

Archeops140Mienshao125

Excadrill135Pangoro124

Salamence135Golurk124

Gigalith135Emboar123

Metagross135Braviary123

Escavalier135Electivire123

Tyranitar134Tyrantrum121

Dragonite134Hariyama120

Mamoswine130Granbull120

Garchomp130Donphan120

Machamp130Staraptor120

Ursaring130Luxray120

Scizor130Blaziken120

Flareon130Golem120

Absol130Druddigon120

Breloom130Weavile120

Kingler130Sharpedo120

Honchkrow125Crawdunt120

Gyrados125Hitmonlee120

Pokmon with the highest Special Attack

PokmonSpecial Attack

Chandelure145Goodra110

Alakazam135Charizard109

Porygon-Z135Typhlosion109

Volcarona135Pyroar109

Gengar130Heliolisk109

Espeon130Samurott108

Magnezone130Musharna107

Glaceon130Maractus106

Exegguctor125Sunflora105

Gardevoir125Octillery105

Roserade125Sceptile105

Magmortar125Average Special Attack ((Sum of Special Attack values) / (Number of Pokmon)) = 116From this sample, we can determine the average of Special Attack stats, and therefore determine the number of turns it takes for the average Special Attack-based Pokmon to faint its opponent based on HP and Special Defence.It is also important to check if the data values are too spread out or not. A good way to check is too calculate the standard deviation, so...(Then find the average of each squared value, thereforeVariance =91.1876Standard Deviation = Standard Deviation = 9.54922The Standard Deviation value is small in correlation with the Special Attack values of the Pokmon sample; therefore we can determine that the spread of the Special Attack values are small, preventing discrepancies in calculating the average data.

Reuniculus125

Beheeyem125

Hydreigon125

Togekiss120

Zoroark120

Clawitzer 120

Yanmega116

Jynx115

Omastar115

Ampharos115

Cacturne115

Lucario115

Gorebyss114

Delphox114

Archeops112

Florges112

Empoleon111

Vileplume110

Vaporeon110

Jolteon110

Houndoom110

Blaziken110

Slamence110

Tangrowth110

Lilligant110

Vanilluxe110

Sylveon110

Pokmon with the highest DefencePokmonDefence

Shuckle230Durant112

Steelix200Glaceon110

Avalugg184Slowbro110

Cloyster180Tyranitar110

Aggron180Umbreon110

Bastiodon168Drapion 110

Carbink150Marowak110

Cofagrigus145Sandslash110

Probopass145Spiritomb108

Torkoal140Torterra105

Forretress140Mandibuzz105

Skarmory140

Dusknoir135

Carracosta133Average Defence ((Sum of Defence values) / (Number of Pokmon)) = 131From this sample, we can determine the average of Defence stats, and therefore determine the number of turns it takes for the average Defence-based Pokmon to faint in terms of opponents Attack and Speed stats.It is also important to check if the data values are too spread out or not. A good way to check is too calculate the standard deviation, so...(Then find the average of each squared value, thereforeVariance =652.5264Standard Deviation = Standard Deviation 25.5446The Standard Deviation value is quote spread out in correlation with the Defence values of the Pokmon sample; therefore we can determine that the spread of the Defence of the sample Pokmon is 25.5446, therefore the discrepancies when comparing the stats is relatively moderate.

Ferrothorn131

Metagross130

Leafeon130

Gigalith130

Golem130

Rhyperior130

Relicanth130

Omastar125

Tangrowth125

Crustle125

Gliscor125

Chesnaught122

Gourgeist122

Weezing120

Magcargo120

Donphan120

Tyrantrum119

Hippowdon118

Bronzong116

Magnezone115

Klinklang115

Barbaracle115

Kingler115

Scrafty115

Sudowoodo115

Pokmon with the highest Special DefencePokmonSpecial Defence

Shuckle230Altaria105

Florges154Jellicent105

Carbink150Volcarona105

Probopass150Roserade105

Goodra150Mismagius105

Mantine140Vespiqueen 102

Bastiodon138Empoleon101

Dusknoir135Tyranitar100

Cryogonal135Meganium100

Blissey135Venasaur100

Umbreon130Gyrados100

Sylveon130Average Special Defence ((Sum of Special Defence values) / (Number of Pokmon)) = 119From this sample, we can determine the average of Special Defence stats, and therefore determine the number of turns it takes for the average Special Defence-based Pokmon to faint in terms of opponents Special Attack and Speed stats.It is also important to check if the data values are too spread out or not. A good way to check is too calculate the standard deviation, so...(Then find the average of each squared value, thereforeVariance =460.24Standard Deviation = Standard Deviation 21.4532The Standard Deviation value is quote spread out in correlation with the Special Attack values of the Pokmon sample; therefore we can determine that the spread of the Special Defence of the sample Pokmon is 21.4532, therefore the discrepancies when comparing the stats is relatively moderate.NOTE: to bring further insight into the increase of spread value of the Defence and Special Defence stats, the most likely reason is because of the Pokmon Shuckle, whose Defence and Special Defence has a 125,130 (respectively) difference of values from the lowest value Pokmon.

Milotic125

Dragalge123

Claydol120

Kecleon120

Mr. Mime120

Tentacruel120

Ferrothorn116

Bronzong116

Scrafty115

Togekiss115

Hypno115

Gardevoir115

Gallade115

Gothitelle110

Hitmontop110

Slowking110

Hitmonchan110

Grumpig110

Snorlax110

Flareon110

Hitmonlee110

Ledian110

Spiritomb108

Cradily107

Cofagrigus105

Escavalier 105

Blastoise105

Pokmon with the highest Health Points (HP)PokmonHP

Blissey255Tyranitar100

Wobbuffet190Noctowl100

Wailord170Swampert100

Alomomola165Swalot100

Snorlax160Azumarill100

Slaking150Braviary100

Drifblim150Dunsparce100

Hariyama144Relicanth100

Wigglytuff140Honchkrow100

Lapras130Tangrowth100

Vaporeon130Tropius99

Lanturn125Average HP ((Sum of HP values) / (Number of Pokmon)) = 119From this sample, we can determine the average of SHPstats, and therefore determine the number of turns it takes for the a Pokmon to faint, and will be used to calculate how many turns it takes for a Pokmon to faint an average Hp-Defence or Hp-Special Defence Pokmon. It is also important to check if the data values are too spread out or not. A good way to check is too calculate the standard deviation, so...(Then find the average of each squared value, thereforeVariance =814.6656Standard Deviation = Standard Deviation 28.54235The Standard Deviation value is quote spread out in correlation with the Special Attack values of the Pokmon sample; therefore we can determine that the spread of the Special Defence of the sample Pokmon is 28.54235, therefore the discrepancies when comparing the stats is relatively moderate.

Aurorus123

Gogoat123

Thorh120

Musharna116

Amoonguss114

Gastrodon111

LickiLicky110

Mandibuzz110

Walrein110

Reuniclus110

Whiscash110

Emboar110

Excadrill110

Mamoswine110

Stunfisk109

Garchomp108

Hippowdon108

Muk105

Kangaskhan105

Seismitoad105

Conkeldurr105

Darmanitan105

Exploud104

Audino103

Skuntank103

Aromatisse101

Jellicent100

Pokmon with the highest SPeedPokmonSpeed

Ninjask160Cryogonal105

Accelgor145Mismagius105

Electrode140Lopunny105

Jolteon130Rapidash105

Crobat130Zoroark105

Aerodactyl130Manetric105

Talonflame126Mienshao105

Weavile125Delphox104

Swellow125Meowstic104

Noivern123Emolga103

Greninja122Garchomp102Average Speed ((Sum of Speed values) / (Number of Pokmon)) = 115From this sample, we can determine the average of Speed in the sample and therefore determine the number of turns it takes for the a Pokmon to faint, and will be used to calculate how likely the analysed Pokmon will go first or not, important for all stats present. It is also important to check if the data values are too spread out or not. A good way to check is too calculate the standard deviation, so...(Then find the average of each squared value, thereforeVariance =130.5856Standard Deviation = Standard Deviation 11.42741The Standard Deviation value is small in correlation with the Attack values of the Pokmon sample; therefore we can determine that the spread of the Attack values are small, preventing discrepancies in calculating the average data.

Alakazam120

Sceptile120

Dugtrio120

Hawlucha118

Whimsicott116

Zebstrike116

Starmie115

Ambipom115

Persian115

Cinccino115

Floatzel115

Swoobat114

Serperior113

Scolipede112

Purugly112

Jumpluff110

Espeon110

Raichu110

Gengar110

Tauros110

Frosslass110

Archeops110

Heliolisk109

Durant109

Infernape108

Galvantula108

Pyroar106

Liepard106

FormulasA quick noteBefore we write down the main formulas involved in calculating the potential of each Pokmon, its important to note down the basics of the game, the mechanics of battle go as followed:Special Attack effects Special Defence and HP (and vice versa)Attack effects Defence and HP (and vice versa)Speed determines which Pokmon moves firstThese are the main mechanics that determine the outcome of a battle.Calculating Speed, Attack, Sp. Attack, Defence, Sp. Defence and HPAccording to the many simulations ran both online and by myself to test which variables and stats are effected depending on the stat, The formula for calculating Speed, Attack, Sp. Attack, Defence and Sp. Defence of a Pokmon is:

However, as Individual Values (IV), Effort Values (EV) and Nature are not being calculated, and the level for each Pokmon is already set at 100, the formula can be simplified to be:

This formula also works with HP, as HP ignores Nature bonus, but as we have constraints, this formula can apply to calculating HP.ExampleCalculating the Speed of Weavile, which base stat is 125

Therefore Weaviles Speed stat at level 100 is 355

Calculating DamageAccording to the many simulations ran both online and by myself to test which variables and stats are effected when a Pokmon does damage to another Pokmon, it all comes down to this basic formula:

Where:a attack stat (Can be Special Attack or Attack, depending on the Pokmon and move in question)p attack power (the power of the move used)d defence stat(Can be Special Defence or Defence, depending on the Pokmon and move in question)s STAB (2 times the damage if Pokmon is using the same move as its type)w weakness/resistance of Pokmon depending on its typex Random number between 85 to 100, puts varying damage within the game For the purpose of this assignment, all Random numbers will be set to 100 to prevent discrepancies in the data gathered.

ExampleTrainer 1 orders his Hydreigon to use the move Dark Pulse (which has 80 attack power (not base stat)) on a enemy Gengar, soa 125 Special Attack (his base stat for Special Attack, and he is using a Special Attack move)p 80 Special Attack, Dark type move (as it is a special attack move)d 75 Special Defence (Gengars Special Defence Stat(not base stat), his resistance against the attack)s As Hydreigon used a move with correlates with one of its dual types, it does 1.5, if not its just 1w 2, as Gengar is weak to Dark type moves with one of his two types since he is a Ghost type, so it does two times the damagex 100 (reason stated above)

Hydreigon deals a total damage of 342, easily one hitting the Gengar with a 92 HP base stat (294 HP lvl 100).Step 1: Process of Elimination by survivability and pure offensiveThe first step of finding the most versatile Pokmon in Pokmon X & Y would be:For Attack and Special Attack:Each Pokmon is compared to the average Defence, Special Defence and HP of each stat, and depending on how many turns it takes faint a Pokmon, the Pokmon who take longer to faint the average defensive stat of the stat in question will be eliminated from the list.For Defence and Special Defence:Each Pokmon is compared to the average Attack, Special Attack and Speed of each stat, and depending on how many turn is takes for the Pokmon to faint, the Pokmon who lasts shortest against the average of the stat in question will be eliminated from the list.Pokmon types, ability and move pool will not be calculated in this step.Finding the Average Attack, Special Attack, Defence and SPecial DefenceWe know that the average attack of the sample of Pokmon with the highest Attack in the game is 127, so in accordance to the formula for calculating the amount of Attack the average Pokmon can do, we use the Stat formula:

Now same formula has to be used on the average of each stat which was calculated from the sample. With Special Attack = 116, Defence = 131, Average HP =119 and Special Defence = 119

367

Attack StatCalculating Damage Dealt and Number of Turns to KOWhen a Pokmon attacks someone using a power that correlates with the Attack stat, it is apparent that the Defence and HP stat are affected, so in order to determine how much damage the Pokmon does, the calculation of Attack stat will be compared to the average Defence (367). For the purpose of this calculation, the attack power will be 60, which is a suitable value to determine the average strength of a move.

Where a is the attack stat (at level 100) of the Pokmon in question, applying this formula to the Attack sample of Pokmon, and finding the calculated stat of each Pokmon.The next step would be to calculate how many hits it takes to faint the average Defence based Pokmon, to do so we will use the average HP stat (once again I emphasis the point, for the sake of finding versatility). The formula that would best be used to find the number of turns it takes to faint a Pokmon would be

Implementing formula to Attack Pokmon sampleUsing the formulas to calculate it for each sample Pokmon in the highest Special Attack stat, the results are shown as followed.PokmonAttack Base StatLvl 100 StatDamage (60 pow)Turns to KO

Rampardos165.00435.00626

Slaking160.00425.00606

Haxorus147.00399.00576

Rhyperior140.00385.00556

Conkeldurr140.00385.00556

Darmanitan140.00385.00556

Archeops140.00385.00556

Excadrill135.00375.00536

Salamence135.00375.00536

Gigalith135.00375.00536

Metagross135.00375.00536

Escavalier135.00375.00536

Tyranitar134.00373.00536

Dragonite134.00373.00536

Mamoswine130.00365.00527

Garchomp130.00365.00527

Machamp130.00365.00527

Ursaring130.00365.00527

Scizor130.00365.00527

Flareon130.00365.00527

Absol130.00365.00527

Breloom130.00365.00527

Kingler130.00365.00527

Honchkrow125.00355.00517

Gyrados125.00355.00517

Heracross125.00355.00517

Armaldo125.00355.00517

Sawk125.00355.00517

Gallade125.00355.00517

Pinsir125.00355.00517

Bisharp125.00355.00517

Mienshao125.00355.00517

Pangoro124.00353.00507

Golurk124.00353.00507

Emboar123.00351.00507

Braviary123.00351.00507

Electivire123.00351.00507

Tyrantrum121.00347.00507

Hariyama120.00345.00497

Granbull120.00345.00497

Donphan120.00345.00497

Staraptor120.00345.00497

Luxray120.00345.00497

Blaziken120.00345.00497

Golem120.00345.00497

Druddigon120.00345.00497

Weavile120.00345.00497

Sharpedo120.00345.00497

Crawdunt120.00345.00497

Hitmonlee120.00345.00497

It is apparent that in average the first 14 Pokmon take about 6 turns to faint the average defensive-HP type Pokmon, while the rest take around 7, therefore the Pokmon that take more than 7 turns are eliminated, leaving 15 Pokmon to analyse:PokmonAttack Base StatLvl 100 StatDamage (60 pow)Turns to KO

Rampardos165.00435.00626

Slaking160.00425.00606

Haxorus147.00399.00576

Rhyperior140.00385.00556

Conkeldurr140.00385.00556

Darmanitan140.00385.00556

Archeops140.00385.00556

Excadrill135.00375.00536

Salamence135.00375.00536

Gigalith135.00375.00536

Metagross135.00375.00536

Escavalier135.00375.00536

Tyranitar134.00373.00536

Dragonite134.00373.00536

Special Attack StatCalculating Damage Dealt and Number of Turns to KOWhen a Pokmon attacks someone using a power that correlates with the Special Attack stat, it is apparent that the Special Defence and HP stat are affected, so in order to determine how much damage the Pokmon does, the calculation of Special Attack stat will be compared to the average Special Defence (343). For the purpose of this calculation, the attack power will be 60, which is a suitable value to determine the average strength of a move.

Where a is the Special Attack stat (at level 100) of the Pokmon in question, applying this formula to the Special Attack sample of Pokmon, and finding the calculated stat of each Pokmon.The next step would be to calculate how many hits it takes to faint the average Special Defence and HP based Pokmon, to do so we will use the average HP stat. The formula that would best be used to find the number of turns it takes to faint a Pokmon would be

Implementing formula to Special Attack Pokmon sampleUsing the formulas to calculate it for each sample Pokmon in the highest Special Attack stat, the results are shown as followed.PokmonSp. Attack Base StatLvl 100 StatDamage (60 pow)Turns to KO

Chandelure145395.00606

Alakazam135375.00576

Porygon-Z135375.00576

Volcarona135375.00576

Gengar130365.00566

Espeon130365.00566

Magnezone130365.00566

Glaceon130365.00566

Exegguctor125355.00546

Gardevoir125355.00546

Roserade125355.00546

Magmortar125355.00546

Reuniculus125355.00546

Beheeyem125355.00546

Hydreigon125355.00546

Togekiss120345.00537

Zoroark120345.00537

Clawitzer 120345.00537

Yanmega116337.00527

Jynx115335.00517

Omastar115335.00517

Ampharos115335.00517

Cacturne115335.00517

Lucario115335.00517

Gorebyss114333.00517

Delphox114333.00517

Archeops112329.00507

Florges112329.00507

Empoleon111327.00507

Vileplume110325.00507

Vaporeon110325.00507

Jolteon110325.00507

Houndoom110325.00507

Blaziken110325.00507

Slamence110325.00507

Tangrowth110325.00507

Lilligant110325.00507

Vanilluxe110325.00507

Sylveon110325.00507

Goodra110325.00507

Charizard109323.00497

Typhlosion109323.00497

Pyroar109323.00497

Heliolisk109323.00497

Samurott108321.00497

Musharna107319.00497

Maractus106317.00497

Sunflora105315.00487

Octillery105315.00487

Sceptile105315.00487

It is apparent that in average the first 15 Pokmon take about 6 turns to faint the average defensive-HP type Pokmon, while the rest take around 7, therefore the Pokmon that take more than 7 turns are eliminated, leaving 15 Pokmon to analyse:PokmonSp. Attack Base StatLvl 100 StatDamage (60 pow)Turns to KO

Chandelure145395.00606

Alakazam135375.00576

Porygon-Z135375.00576

Volcarona135375.00576

Gengar130365.00566

Espeon130365.00566

Magnezone130365.00566

Glaceon130365.00566

Exegguctor125355.00546

Gardevoir125355.00546

Roserade125355.00546

Magmortar125355.00546

Reuniculus125355.00546

Beheeyem125355.00546

Hydreigon125355.00546

Defence StatCalculating survivability based on average AttackWhen a Pokmon defends someone using a power that correlates with the Defence stat, it is apparent that the Attack Stat affects the number of hits the Pokmon can take until KO, so in order to determine the defensive capabilities of the sample Defence-based Pokmon, the calculation of Defence stat will be compared to the average Attack (363). The attack power will also be 60, the reason stated above.

Where d is the Defence stat of the Pokmon in question, applying this formula to the Attack sample of Pokmon, and finding the calculated stat of each Pokmon.The next step would be to calculate how many hits it takes for the average Defence based Pokmon to faint, to do so we will use the Defence-based Pokmon HP stat in the equation too (which will be calculated now). The formula that would best be used to find the number of turns it takes to faint a Pokmon would be

Implementing formula to Defence Stat Pokmon sampleUsing the formulas to calculate it for each sample Pokmon in the highest Defence stat (along with their HP stat), the results are shown as followed.PokmonDefence HP Statlvl 100 Deflvl 100 HPDamage DealtHits to KO

Shuckle23020565145344

Steelix20075505255387

Avalugg18495473295417

Aggron18070465245416

Cloyster18050465205415

Bastiodon16860441225435

Carbink15050405205474

Probopass14560395225485

Cofagrigus14558395221485

Forretress14075385255505

Torkoal14070385245505

Skarmory14065385235505

Dusknoir13545375195514

Carracosta13374371253515

Ferrothorn13174367253525

Rhyperior130115365335526

Relicanth130100365305526

Gigalith13085365275525

Metagross13080365265525

Golem13080365265525

Leafeon13065365235525

Tangrowth125100355305546

Gliscor12575355255545

Omastar12570355245545

Crustle12570355245545

Chesnaught12288349281545

Gourgeist12285349275545

Donphan12090345285555

Weezing12065345235554

Magcargo12050345205554

Tyrantrum11982343269555

Hippowdon118108341321566

Bronzong11667337239564

Barbaracle11572335249574

Magnezone11570335245574

Sudowoodo11570335245574

Scrafty11565335235574

Klinklang11560335225574

Kingler11555335215574

Durant11258329221584

Tyranitar110100325305585

Slowbro11095325295585

Umbreon11095325295585

Sandslash11075325255584

Drapion 11070325245584

Glaceon11065325235584

Marowak11060325225584

Spiritomb10850321205593

Mandibuzz105110315325605

Torterra10595315295605

It is apparent that in average, 2 Pokmon can take at least 7 hits from the average offensive stat, and 37 Pokmon take around 6-4 hits before KO. To ensure a wide range of Pokmon are analysed (and in order to have consistency), the first 15 Pokmon (who values are larger by decimal points) will be analysed, soPokmonDefence HP Statlvl 100 Deflvl 100 HPDamage DealtHits to KO

Avalugg18495473295417

Steelix20075505255387

Rhyperior130115365335526

Aggron18070465245416

Relicanth130100365305526

Hippowdon118108341321566

Tangrowth125100355305546

Mandibuzz105110315325605

Gigalith13085365275525

Tyranitar110100325305585

Donphan12090345285555

Bastiodon16860441225435

Chesnaught12288349281545

Forretress14075385255505

Metagross13080365265525

Special Defence StatCalculating survivability based on average SPecial AttackWhen a Pokmon defends someone using a power that correlates with the Special Defence stat, it is apparent that the Special Attack Stat affects the number of hits the Pokmon can take until KO, so in order to determine the defensive capabilities of the sample Defence-based Pokmon, the calculation of Special Defence stat will be compared to the average Special Attack (337). The attack power will also be 60, the reason stated above.

Where d is the Special Defence stat of the Pokmon in question, applying this formula to the Special Attack sample of Pokmon, and finding the calculated stat of each Pokmon.The next step would be to calculate how many hits it takes for the average Special Defence based Pokmon to faint, to do so we will use the Special Defence-based Pokmon HP stat in the equation too (which will be calculated now). The formula that would best be used to find the number of turns it takes to faint a Pokmon would be

Implementing formula to Special Defence Stat Pokmon sampleUsing the formulas to calculate it for each sample Pokmon in the highest Special Defence stat (along with their HP stat), the results are shown as followed.PokmonSp.Defence HP Statlvl 100 Sp. Deflvl 100 HPDmg DealtHits to KO

Shuckle23020565145325

Florges15478413261436

Goodra15090405285446

Probopass15060405225445

Carbink15050405205445

Mantine14065385235465

Bastiodon13860381225475

Blissey1352553756154713

Cryogonal13570375245475

Dusknoir13545375195474

Umbreon13095365295496

Sylveon13095365295496

Milotic12595355295506

Dragalge12365351235505

Tentacruel12080345265515

Claydol12060345225514

Kecleon12060345225514

Mr. Mime12040345185514

Ferrothorn11674337253525

Bronzong11667337239525

Togekiss11585335275535

Hypno11585335275535

Gardevoir11568335241535

Gallade11568335241535

Scrafty11565335235534

Snorlax110160325425548

Slowking11095325295545

Grumpig11080325265545

Gothitelle11070325245545

Flareon11065325235544

Hitmonlee11055325215544

Ledian11055325215544

Hitmontop11050325205544

Hitmonchan11050325205544

Spiritomb10850321205554

Cradily10786319277555

Jellicent105100315305565

Volcarona10585315275565

Blastoise10579315263565

Altaria10575315255565

Escavalier 10570315245564

Roserade10560315225564

Mismagius10560315225564

Cofagrigus10558315221564

Vespiqueen 10270309245574

Empoleon10184307273575

Tyranitar100100305305585

Gyrados10095305295585

Meganium10080305265585

Venasaur10080305265585

NOTE: Move pools, Abilities and Type effectiveness will be covered on the next step. PokmonSp.Defence HP Statlvl 100 Sp. Deflvl 100 HPDmg DealtHits to KO

Blissey1352553756154713

Based on these findings, it is clear that Blissey is the most versatile Pokmon in terms of Special Defence.Step 2: Type effectiveness and move poolFor Attack and Special Attack: Each Pokmon will be compared depending on its type, and how many Pokmon types it can be super effective against (along with STAB (Same Type Attack Bonus). Pokmon who outclass others in this stat will stay, while the rest are eliminated from the sample.For Defence:Each Pokmon will be compared depending on its type, and how many Pokmon types it can resist. Pokmon who outclass others in this stat will stay, while the rest are eliminated from the sample.Type effectiveness, how it works.Each Pokmon can be up to two different types, the types are Normal, Fire, Water, Grass, Electric, Fighting, Flying, Poison, Ground, Rock, Bug, Ice, Dragon, Ghost, Dark, Physic, Steel and Fairy. In correlation with each other, each stat has weak, strong or normal effectiveness against each other, as shown in the table below.It is important to note that when there are dual types, the type defensive capabilities changes slightly depending on the secondary type, for example Ice damage would do 4 times the amount of damage to Dragon/Flying types, due to being super effective to both types. However it is important to not that dual types get STAB (same-type effectiveness) for primary and secondary type.

Note: The data was collected from testing out different moves to different Pokmon depending on their type, to assure accuracy.

23.0

3Gibraan Jamnadas MDU 103.2Attack Stat EffectivenessThe type of each Pokmon will be determined based on the Pokedex within the game, for the 14 Pokmon left in the sample. With STAB providing a 1.5 times boost in damage, along with having 2x the damage with type effectiveness, it is important for offensive Pokmon to have access to a move pool which moves correspond with their types. In order to determine the most versatile Pokmon, their type will be compared to determine how many types the Pokmon is strong, weak, resistant and immune against in correlation with their type and move pool.The most Versatile Attack-based POkemonAs we are determining the versatility it is important that not only will the Pokmon be strong against many types, but have the capability to resist some types. To conclude this, a system will be used to determine the most versatile out if this Attack-based sample of Pokmon, and shall be tallied as followed: 2 for each type that the Pokmon is effective against -1 for each type of weakness, -2 if 4 times the weakness 1 for each type the Pokmon resists. 2 for each type the Pokmon is immune too.In accordance to this system, the following formula has been developed, and will be used)

Where: x type effectivenessy type weaknessz - is 4 times weaknessa resistanceb- immunityBased on this system, the score is as followed:PokmonTypeEffectiveWeak4x weakResistanceImmuneVersatility

ExcadrillGrd/Steel7408222

EscavalierBug/Steel5018118

RhyperiorGrd/Rock9425117

MetagrossSteel/Psy5408116

ArcheopsRock/Fly6505114

TyranitarRck/Dark6616112

ConkeldurrFighting5303010

SalamenceDrag/Fly4315110

DragoniteDrag/FLy4315110

DarmanitanFire330609

RampardosRock440408

GigalithRock450407

SlakingNormal010011

HaxorusDragon120101

Based on these findings, it is clear that Excadrill is the most versatile Pokmon in terms of Attack.

Special Attack type EffectivenessThe type of each Pokmon will be determined based on the Pokedex within the game, for the 15 Pokmon left in the sample. With STAB providing a 1.5 times boost in damage, along with having 2x the damage with type effectiveness, it is important for offensive Pokmon to have access to a move pool which moves correspond with their types. In order to determine the most versatile Pokmon, their type will be compared to determine how many types the Pokmon is strong, weak, resistant and immune against in correlation with their type and move pool.The most Versatile Special Attack-based POkemonAs we are determining the versatility it is important that not only will the Pokmon be strong against many types, but have the capability to resist some types. To conclude this, a system will be used to determine the most versatile out if this Special Attack-based sample of Pokmon, and shall be tallied as followed: 2 for each type that the Pokmon is effective against -1 for each type of weakness, -2 if 4 times the weakness 1 for each type the Pokmon resists. 2 for each type the Pokmon is immune too.In accordance to this system, the following formula has been developed, and will be used)

Where: x type effectivenessy type weaknessz - is 4 times weaknessa resistanceb- immunityBased on this system, the score is as followed:PokmonTypeEffectiveWeak4x weakResistanceImmuneVersatility

MagnezoneElec/Steel52111119

ChandelureGhost/Fire6507218

GengarGhst/Poison4304315

VolcaronaBug/Fire5216012

RoseradeGrass/Psn5405011

MagmortarFire4306011

HydreigonDark/Dragon3416210

ExegguctorGrass/Psych561608

GlaceonIce440105

AlakazamPsychic230102

EspeonPsychic230102

GardevoirPsychic230102

ReuniculusPsychic230102

BeheeyemPsychic230102

Porygon-ZNormal010011

Based on these findings, it is clear that Magnezone is the most versatile Pokmon in terms of Special Attack.

Defence Type EffectivenessThe type of each Pokmon will be determined based on the Pokedex within the game, for the 15 Pokmon left in the sample. It is important for defensive-based Pokmon to have a high resistance to a variety of types, as the goal of defensive Pokmon is to either support the team, or wall of strong offensive-based Pokmon. . In order to determine the most versatile Defence-based Pokmon, their type will be compared to determine how many types the Pokmon is strong, weak, resistant and immune against in correlation with their type and move pool.The most Versatile Special Attack-based POkemonAs we are determining the versatility it is important that not only will the Pokmon be able to resist against many types, but have the capability to be strong against some types. To conclude this, a system will be used to determine the most versatile out if this Defence-based sample of Pokmon, and shall be tallied as followed: 1 for each type that the Pokmon is effective against -2 for each type of weakness, -3 if 4 times the weakness 2 for each type the Pokmon resists. 3 for each type the Pokmon are immune too.In accordance to this system, the following formula has been developed, and will be used)

Where: x type effectivenessy type weaknessz - is 4 times weaknessa resistanceb- immunityHowever Avalugg and Steelix each start off with a value of 3, because they can take 1 more hit.Based on this system, the score is as followed:PokmonTypeEffectiveWeak4x weakResistanceImmuneVersatility

ForretressBug/Steel5018121

SteelixSteel33010017

AggronSteel33010017

BastiodonRock/Steel6128117

MetagrossSteel/Psy5408116

MandibuzzDark/Flying540329

RhyperiorGrd/Rock942518

RelicanthWater/Rock731508

HippowdonGround530216

TyranitarRck/Dark661616

DonphanGround530216

ChesnaughtGrass/Fight751606

TangrowthGrass340403

GigalithRock450402

AvaluggIce44010-2

Based on these findings, it is clear that Forretress is the most versatile Pokmon in terms of Defence. Conclusion/FindingsMost versatile Pokmon in terms of AttackIt is apparent that Excadrill excels as the most versatile Attack-based Pokmon, becoming a distressing sweeper that is able to wipe of most Pokmon from the map (especially from the samples taken). The Pokmon also has a very good move pool, giving it many different possible roles in battling, from setting up traps (or getting rid of them) to setting up and sweeping enemy Pokmon teams.

Most versatile Pokmon in terms of SPecial AttackIt is apparent that Magnezone excels as the most versatile Special Attack-based Pokmon. With stats and move pools like this, not only is Magnezone able to take out most enemys, but the Pokmon also has a large resistance to most stats and very dependable defensive stats.

Most versatile Pokmon in terms of DefenceIt is apparent that Forretress is the most versatile Defence-based tanked in the sample taken. Not only can this Pokmon clear traps (or make them), along with having high stats and resistances, the Pokmon has extremely high utility, able to wall of offensive Pokmon and change the tides of battle.

Most versatile Pokmon in terms of SPecial DefenceIt is apparent that from the gathered data from this assignment, in average the sample Pokmon can take around 5 hits, however it is apparent that from the data, one Pokmon can take a whopping 13 hits before being KOd by Special attack (5 hits more than Snorlax, the second one down), and that Pokmon is Blissey. Due to being a Normal Type, Blissey is only weak to one stat, is immune to Ghost Type moves and takes normal damage from every other type. However her phenomenal HP and excellent Special Defence allows this Pokmon to take hits from Special Attack-based Pokmon, and easily shrug it off.

BibliographyBulbapedia. (2014). List of fully evolved Pokmon by base stats. Retrieved April 4, 2014, from Bulbapedia - the community driven Pokmon encyclopedia: http://bulbapedia.bulbagarden.net/wiki/List_of_fully_evolved_Pok%C3%A9mon_by_base_statsOxford Dictionaries. (2014). versatile: definition of versatile in Oxford dictionary (British & World English). Retrieved April 7, 2014, from Oxford Dictionaries: http://www.oxforddictionaries.com/definition/english/versatileVGChartz. (2014). Pokmon X Y (Nintendo 3DS) - Sales, Wiki, Cheats, Walkthrough, Release Date, Gameplay, ROM on VGChartz. Retrieved from Video Game Charts, Game Sales, Top Sellers, Game Data - VGChartz: http://www.vgchartz.com/game/71449/pokemon-xy/