Jump Points (and some Ev's)
Some of you may not understand the concept of what are called jump points. You probably just use them because more advanced players tell you to do so and give you a vague reason. So, in a short little guide, I'll just show you how they work.
The first thing to understand is jump points only occure in a stat with a + nature, which multiplies stats by 1.1 (or in other words give 10%). This of course means there are no HP jump points due to the lack of + HP natures. There are other numbers to aim for in HP, such as a Lefties number, but there is no such thing as an HP jump point.
The concept of the jump point is if you invest Ev's up to a certain number on a + nature stat, instead of the stat gain being 1 it will be 2 for that specific investment. Let me give you an example. For any stat divisible by 5, 216 Ev's is the highest jump point you can reach. To show this, I'll just use Celebi.
Celebi: Bold - 208 Defense Ev's = 316
Celebi: Bold - 212 Defense Ev's = 317
Celebi: Bold - 216 Defense Ev's = 319
Celebi: Bold - 220 Defense Ev's = 320
Notice how the other investments only yeild a single stat point where as 216 supplies two. Now why does that happen? The simple answer is found when you understand the stat formula.
Stat formulas make your life easier when trying to figure out actual stats from just base stats and Ev's. Below is the formula for stats.
(Base Stat x 2 + 5 + N + F) x U = Actual Stat
I tried to make it as simplistic as possible, as I know most people hate to see long formulas. This one is quite simple actually. N = Iv's, F = Ev's, and U = nature multiplier. If you don't know how many actual stat points you get from Ev's, simply divide it by 4 and round down if necessary. Let's take our Bold 216 Defense Celebi and plug it in (and say we have 31 Iv's in every stat).
(100 x 2 + 5 + 31 + 54) x 1.1 = Actual Stat
(200 + 5 + 31 + 54) x 1.1 = Actual Stat
(290) x 1.1 = Actual Stat
319 = Actual Stat
Quite simple, it takes less time on a calculator than going to a site's Pokedex and find it out from there. As a side note, this is not how HP is calculated. Just so you do know how it is, here is the formula for HP.
Base Stat x 2 + 110 + N + F = Actual Stat
N and F still mean Iv's and Ev's respectively. Notice there is no nature multiplier for reasons I have stated before. Let's just do 252 HP Celebi to show this.
100 x 2 + 110 + 31 + 63 = Actual Stat
200 + 110 + 31 + 63 = Actual Stat
404 = Actual Stat
So now you know how to figure out both HP and normal stats. Now why do you hit the jump points? Well if we take out what causes the jump points (a positive nature) perhaps we can figure it out. We'll run the caclulation using a Celebi with a neutral nature, such as Modest or Timid. The specific nature really doesn't matter.
(100 x 2 + 5 + 31 + 54) x 1 = Actual Stat
(200 + 5 + 31 + 54) x 1 = Actual Stat
(290) x 1 = Actual Stat
290 = Actual Stat
Now we have our answer. When using the nature multiplier, the game rounds the stats down. This means even if the formula says you have 317.9 as your actual stat, the game will ignore anything in the decimal, giving you 317. So we know this, but why does it specifically give you an extra stat point on those numbers? Simple, the number is evenly divisble by 10. Notice 216 Ev's hits 290 which is divisble by ten. However, if you go down one point wether it be Iv's or Ev's, it is no longer so. To show how many actual points 289 and 290 would yeild with a + nature, just divide it by 10.
289 / 10 = 28(.9) || 289 + 28 = 317
290 / 10 = 29 || 290 + 29 = 319
And there you have the jump point. Let's do one more example and use 172 Defense and 176 Defense Ev's. The first calculation will be using 172 and the second calculation will be with 176.
(100 x 2 + 5 + 31 + 43) x 1.1 = Actual Stat
(200 + 5 + 31 + 43) x 1.1 = Actual Stat
(279) x 1.1 = Actual Stat || 279 / 10 = 27(.9) || 279 + 27 = 306
306 = Actual Stat
(100 x 2 + 5 + 31 + 44) x 1.1 = Actual Stat
(200 + 5 + 31 + 44) x 1.1 = Actual Stat
(280) x 1.1 = Actual Stat || 280 / 10 = 28 || 280 + 28 = 308
308 = Actual Stat
And now you know. If you are doing your stat calculations and know you will always have 31 Iv's in the stat, you can just combine 5 and 31 on the formula to make it faster. Please do note 176 and 216 are not jump points on every Pokemon. There are different sets of jump points for different base stats. Below I have provided a list of jump points (considering you have 31 Iv's in the stat).
+0 (base stat ends in 5 or 0): 16 / 56 / 96 / 136 / 176 / 216
+1 (base stat ends in 6 or 1): 8 / 48 / 88 / 128 / 168 / 208 / 248
+2 (base stat ends in 7 or 2): 40 / 80 / 120 / 160 / 200 / 240
+3 (base stat ends in 8 or 3): 32 / 72 / 112 / 152 / 192 / 232
+4 (base stat ends in 9 or 4): 24 / 64 / 104 / 144 / 184 / 224