Individual Values

Individual values or IVs can determine if a Pokémon is stronger than another Pokémon of the same species, as they are unique to each Pokémon obtained.

Background
They have a range from 0 to 15. The 3 individual values are Attack, Defense, and Stamina. The overall Appraisal is based on the sum of these three IVs. Each Pokémon species has base stats, which are listed on the individual Pokémon pages. The base stats are the lowest possible IV for that species. If a Pokémon's stats matches the base value, they are considered to have an IV of zero.

Individual Values can help determine how strong a Pokémon is in battle compared to another of the same species. Use the Pokémon IV Calculator to help you determine its chance of having "perfect" IVs.

Attack
Helps determine how much damage your Pokémon does in battle, and also has an influence on CP.

Defense
Helps determine how much damage your Pokémon can receive in battle, and also has an influence on CP.

Stamina
Helps determine HP and CP levels of your Pokémon.

Formulas
See below for how the above IVs are used to calculate the stats of your Pokémon.

Health Points

 * $$HP = (Base Stam + Stam IV) ~ \times ~ Lvl(CPScalar)$$

Combat Points

 * $${CP = \frac{(Base Atk + Atk IV) ~ \times ~ \sqrt{Base Def + Def IV} ~ \times ~ \sqrt{Base Stam + Stam IV} ~ \times ~ Lvl(CPScalar)^{2}}{10}}$$

Trivia

 * Pokémon that are hatched from Eggs will have an increased chance of having higher IVs.