Konnichiwa!

In this blog, I'll explain both how big of a difference all of those things I mentioned in my blog "Getting Pokémon with High Stats" can make, as well as how you can tell what stats Pokémon would have at different levels, which can be VERY useful to know, especially if you plan on using those Pokémon in battles where all Pokémon have their levels adjusted to 50.
(Like in the Battle Tower/Frontier/Subway/Maison/Tree, as well as in most multiplayer battles.)

It is worth noting that IF you are using a device with a web browser that can use them, online stat calculators such as
this one can do much of what I teach y'all how to do in this blog, HOWEVER, some of the techniques in this blog (such as those for seeing your Pokémon's level 50 or 100 stats in-game) would actually make using these calculators easier and more accurate, and may still be useful regardless.

On that note, here are some links to some other online stat calculators that y'all may find useful:

https://www.serebii.net/games/iv-calcswsh.shtml

https://veekun.com/dex/gadgets/stat_calculator

http://www.psypokes.com/dex/stats.php

Now for those of us who want to (or have to) do these things manually, like I do with the Calculator app on my Pokétch in Pokémon Platinum Version (pictured at the top of this blog), I'll start of by showing y'all the formulas for calculating stats, which I got off of Bulbapedia.

This one is for calculating HP:

[image]https://cdn.bulbagarden.net/upload/8/80/HPStatCalcGen34.png [/image]

And this one is for all of the other stats:

[image]https://cdn.bulbagarden.net/upload/c/c1/OtherStatCalcGen34.png [/image]

Now, if you have trouble reading math equations (like I do sometimes), or if those images didn't load in your browser for some reason, allow me to explain how to calculate this stuff.

Basically, you take those "base stats" that they list for every Pokémon on websites like Pokémon Database, Bulbapedia, and Serebii and then double it, divide it by 100, and then multiply it by your Pokémon's level.

Then you add 5 to it, or if you're calculating HP you add 10 to it, and then 1 additional HP per your Pokémon's Level.
(This is why Pokémon like Ditto, Phione, and Mew always have higher HP than their other stats, even though their base stats are all equal.)

Now, that's how you can figure out the lowest possible stats a given Pokémon can have (not taking into account their Nature), but what about the highest possible stats?

Well, each individual stat on each individual Pokémon has something called an "Individual Value" (IV for short, which I mentioned in my "Getting Pokémon with High Stats" blog) associated with it, which is why 2 of the exact same Pokémon with the exact same Natures and Characteristics can have VERY different stats, even if you just caught them, and they're the same level.

These "IVs" can range between 0 and 31, and at level 100, you get 1 point per each IV in each stat, whereas at level 50 you get 50% of that, and at level 30 you get 30% of that, and so on.

Effort Values (EVs for short, which were also mentioned in my high stats blog) are the result of training your Pokémon, but otherwise work quite similarly to IVs.

You get 1 point in each stat per each 4 EVs you have in that stat at level 100, and just like with IVs, you get a percentage of that equal to your Pokémon's level at lower levels.
(That's probably why you can only take Pokémon up to level 100, because you get 100% of everything at level 100, lol!)

The following images show the stats of 6 different Level 50 Rayquazas:



The 1st image shows the stats of 6 different Rayquazas that were just caught, and that haven't been trained yet (which means that they have no EVs), while the 2nd one shows their stats after training them to have 252 EVs in their Attack and Sp. Attack stats, and 6 EVs in their Speed stat.

Rayquazas A, B, and C have the highest possible IVs in every stat (31), while D, E, and F have the lowest possible EVs (0) in all stats.

Rayquazas A and D have a Mild Nature, which raises Sp. Attack and lowers Defense, while Rayquazas B and E have a neutral Nature (such as Hardy or Quirky) that doesn't affect Stats, and Rayquazas C and F have an Impish Nature, which lowers Sp. Attack and raises Defense.
(The stats shown in red are the ones being raised by the Pokémon's Nature, and the ones shown in blue are being lowered by it, similar to how they show the effects of a Pokémon's Nature in-game.)

These are those same Rayquazas' stats after Mega Evolving:



As you can see, a Pokémon's IVs, EVs, and Nature can have a HUGE impact their stats, even a super powerful legendary one like Mega Rayquaza, with Mega Rayquaza A having 255 Sp. Attack when fully trained, while the untrained Mega Rayquaza F only has 167 Sp. Attack, even though they're the same species of Pokémon, and at the same level.

Now, these are the stats of a Timid Ditto (with max IVs in everything), so you can see how level affects a Pokémon's stats:



Ditto has base stats of 48 in everything, and this one has had it's Sp. Attack EVs maxed out, so you can see how much higher it is than it's Defense and Sp. Defense, which weren't trained.

This is a Phione, which has a base stat of 80 in everything, with the same Nature, EVs, and IVs as the Ditto that I just showed y'all:



By looking at its stats at Level 50, you can see clearly the impact everything has on it's stats, including the training in Sp. Attack (again, compared to Defense and Sp. Defense, which weren't trained), the effect its Nature has on its stats (Attack being 10% lower than Defense and Sp. Defense, and Speed being 10% higher than them), as well as the difference between it and the Ditto's stats: 32 points higher in everything, the same as the difference between their base stats.

Now, if you're trying to figure out what stats your Pokémon would have at a different level, with the same EVs, IVs, etc., here's how:

First, you need to take the effect of the Pokémon's Nature out of the equation.

Each Nature raises 1 stat by 10%, and lowers 1 stat by 10%, and 5 of them (Hardy, Docile, Serious, Bashful, and Quirky) raise the same stat that they lower, with the result being no impact on the Pokémon's stats whatsoever.
(Those "neutral Natures" that I referred to earlier.)

It can sometimes be a bit difficult to reverse the effects of a Pokémon's Nature, due to how stat numbers are sometimes rounded up, and sometimes rounded down, but if you can get past that part, or if your Pokémon's Nature doesn't affect the stat(s) that you're trying to calculate, then the rest is a TON easier.

First, subtract your Pokémon's stat by 5, or if calculating HP subtract by 10 and then by your Pokémon's current level, and then divide it by your Pokémon's current level.

Afterwords, to see what their stats would be at a different level, simply multiply it by that level and then add 5 to it, or if calculating HP add 10 plus the Pokémon's new level, instead.

It should be noted that while this technique works perfectly if you are using a level 100 Pokémon, and are trying to figure out what it's stats would be at a lower level, it may be slightly off when done on Pokémon of lower levels, especially very low level Pokémon.
(It can still be used to get a reasonable estimate at least, though.)

3 other techniques for figuring out Pokémon's stats at different levels (which may still be useful, even if you have access to those online calculators) are Mock Battles, the Battle Institute, and Rare Candies.

In the Gen 6 and 7 games (and possibly Gen 8 as well), if you have a Battle Video you saved on your Vs. Recorder (as long as it's not a Multi Battle, Battle Royale, or any sort of Battle that has more than 2 people involved), you can do a Mock Battle with the Pokémon you're trying to calculate the stats of, and because it will have its level lowered to 50 (assuming it's higher than level 50, anyway), and you can check out it's level 50 stats by looking at its summary during the battle.

The Battle Institute (in Gens 5 and 6, accessible after you've entered the Hall of Fame) is also VERY useful for figuring out a Pokémon's level 50 stats, as it doesn't require you to save first like most similar in-game battling facilities, and it's also one of the few places that will actually raise a Pokémon's level to 50 if it's lower than that, as opposed to just lowering the levels of higher level Pokémon to 50.



Rare Candies can be used to raise a Pokémon's level VERY fast, so if you save them up (like I do), you can save your game, and then use them on your Pokémon to level it up, so you can see what it's stats will be at a higher level, and then just soft reset afterwords.
(This technique can also be used to see what effect Evolving a Pokémon would have on it's stats.)

The downside of this particular technique (compared to the other 2), however, is that while it works quite well, and can be done in any game regardless of generation, even if you haven't entered the Hall of Fame yet, is that it isn't particularly useful for checking out the stats of legendary Pokémon, due to the fact that you have to save the game before doing it.
(Unless you don't mind using up your Rare Candies on the legendary Pokémon you're catching anyway, in which case you can just skip the saving part.)

Also, in all Pokémon games (starting in Gen 3, IIRC), there's a person called the Judge, who can evaluate your Pokémon's IVs, and tell you roughly how good it's stats are overall, as well as which stats it's best in, and how good it is in those.

This can be quite helpful for getting a rough idea of whether or not your Pokémon has good stats or not, without having to do all of these calculations, or using an online stat calculator.
(And knowing how a Pokémon's Characteristic works can help you get an even better idea of how good your Pokémon's highest stat is, as well.)

IMO, however, if you're catching a legendary Pokémon, it's VERY important to make sure that it has perfect (or near perfect) stats, as well as the correct Nature, and so it'd probably be best to use some of these techniques to see whether or not you got a good one.
(Although because I'm such a perfectionist, I usually do this stuff with ALL of the Pokémon that I plan to use in battles, lol!)

One more thing I thought I should mention here, is the effect that stat-changing moves have on stats during Battle.

Basically, every move that effects stats raises or lowers counters (which cannot seen in-game in Gens 1-6), which act as a multiplier, and either raise or lower the affected Pokémon's stats, depending on how many counters you have in that particular stat.

At the start of battle (before the effects of Abilities like Intimidate), your Pokémon have 0 counters in everything, which means their stats are just as they appear on the Pokémon's summary page.
(Not counting the effects of Abilities like Huge Power, anyway.)

Some moves (like Calm Mind) raise a Pokémon's stat counters by 1, while others (the ones that "sharply" raise a stat, like Nasty Plot) raise these stat counters by 2, and a few moves (the ones that "drastically" raise a stat, like Tail Glow) raise these counters by 3.
(The same applies to moves that lower stats, except that they lower these stat counters instead of raising them.)

If your Pokémon's stat has been raised by 1 counter, it gets multiplied 1.5×, 2 counters and it's multiplied 2×, with 3 counters it's multiplied 2.5×, and so on, all the way up to 6 counters (the maximum), which multiplies the affected stat by a whopping 4×!
(Which means roughly 4× the damage dealt by the affected Pokémon if the stat in question is Attack or Sp. Attack, like after Krookodile's Anger Point was activated in this battle, or roughly ¼ the damage received by the affected Pokémon if it was their Defense or Sp. Defense that was maxed out.)

The way that negative stat counters work is the same, except that you use division rather than multiplication to calculate their effect.

-1 counters means you divide the affected stat by 1.5, -2 means you divide it by 2, -3 means you divide it by 2.5, down to -6 counters (the minimum), which divides a stat by 4.
(Which means approximately ¼ damage dealt by the affected Pokémon if their Attack or Sp. Attack was lowered to -6, or 4× the damage received by the Pokémon if their Defense or Sp. Defense was lowered to -6.)

Items like X Attack, Abilities like Intimidate, and certain other things, such as O-Powers, or the auras of Totem Pokémon also affect these stat counters, and they can actually be seen in battle in the Gen 7 games (and probably in the Gen 8 games as well) by tapping on a Pokémon that's had its stats altered by anything during the battle.

Also, don't forget that paralysis reduces a Pokémon's Speed stat to ¼ the usual amount (unless it has an Ability like Quick Feet that prevents this), while being burned reduces a Pokémon's Attack stat to ½ the usual amount (unless it has an Ability like Guts that prevents this), and these stat changes are completely separate from regular stat changes, and they can work in conjunction with or against each other.
(A Pokémon with -6 Attack counters that is also suffering from a burn would have its Attack stat divided by 8, for example.)

Anyway, I hope this blog is helpful, and if anyone has any questions about any of these subjects (including if you want me to try to calculate what effect something would have on a Pokémon's stats for you), please leave a comment.

Sayonara!