WHIRLWIND EXPLANATION: Pokémon have a fixed, permanent score from 0 to 31 for each stat that affects how good that stat can ever get.

This calculator will figure out that score (called a "gene" or, more obtusely, an "IV") for you, so you can discard the unworthy. It's more accurate for higher-level Pokémon, so it's helpful to go into a level 100 wifi battle with someone and check your Pokémon's stats from there.

Stat calculator

Charizard
Charizard 		Base
stats		 Stats Effort Stats Effort Stats Effort Stats Effort Stats Effort Possible genes (IVs)
Level Level Level Level Level
HP 78
102–113
104–116
107–119
109–121
27
Attack 84
65–76
67–78
68–80
70–82
21
Defense 78
61–72
62–74
64–76
65–77
19
Special Attack 109
83–94
85–97
87–99
90–102
17
Special Defense 85
66–77
67–79
69–81
71–83
30–31
Speed 100
77–88
79–90
81–92
83–95
23

Hmm, I need more information to figure out your Pokémon's genes exactly. Try raising it to level 100 and entering its new stats.
Remember: if your Pokémon battles at all, you'll need to track the effort it gains. Consider saving your game and using Rare Candy instead.

And for your copy/pasting pleasure:

27 HP; 21/19 Physical; 17/30–31 Special; 23 Speed

or start over