How much do Natures and Characteristics affect a Pokemons stats?

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Natures:

A Pokémon’s Nature usually affects the growth rate of two of its stats, ultimately increasing one of its stats by 10% and decreasing another by 10%.

Source

Characteristics:

Characteristics do not affect a Pokémon’s Stats it just tell players which Stat contains a Pokémon’s highest IV.

A Pokémon’s Characteristic indicates which stat contains a Pokémon’s highest IV.

Source

Natures increase a stat and decrease a stat by 10%.Characteristics show which stat the Pokemon has the best IVs in, at level 100 the Pokemon gets 1 stat point for 1 IV, the max amount of IVs being 31.

Hereis a page on characteristics.

Hope I helped!

Source: Experience

Natures decrease and increase a certain stat by 10%.

A Pokémon’s Nature usually affects the growth rate of two of its stats, ultimately increasing one of its stats by 10% and decreasing another by 10%.Natures also determine the Pokémon’s favorite flavor and its disliked flavor.

Which stat it increases and decreases depends on thenature.

A Pokémon’s Characteristic is determined by the remainder of its highest IV divided by 5.

Characteristicsdetermine what number of IVs a Pokemon can have in a certain stat.For example:a Pokemon that “loves to eat” can have 0, 5, 10, 15, 20, 25 or 30 IVs in HP

IVsare one of the most important things in determining stats. From Generation 3 onward it uses this formula to calculate a Pokemon’s HP stat and other stats.

Hope I helped!