Ever heard the term "Knowledge is power"?
In the martial arts world, that rings very true. It's not about how tall, strong, or big you are. It's what you know and the ability to use what you know. I've seen a 5ft 5 120lb girl beat the tar out of a 6ft 2 180 man built of solid muscle.
If you think size makes a person a good fighter, you are delusional and know nothing of fighting. My younger brothers are both taller than me, and I have taught them some things. They are heavier and over 6ft in height. I am 5ft 6 135lbs and I have no problem sparring them and winning.
It's about skill. Not size.
There is no "perfect" height. Being tall has its advantages, IF YOU KNOW HOW TO USE IT. Same with being short. Mike Tyson was one of the shortest HW boxers in history, but he used that (and his speed and evasive movement) to get under his taller opponents' punches. Semmy Schilt, the multi-time K-1 champion, is close to 7' tall, and was able to use long jabs and front kicks to keep his opponents at bay. Taller guys in wrestling and Judo are able to incorporate their long limbs for sweeps and takedowns, while shorter guys in those competitions are harder to throw and have better hip/shoulder throws. One should fight by taking into account one's attributes. The boxing matches between Mike Tyson and Joe Frazier are great examples of this.
Kokoro is right, but there does seem to be an optimum balance between speed and agiltiy and power which comes in at what are normally considered "middleweight" fighters. 6' 0", 180-185 pounds....
Lightweights are frequently very fast, but not very powerful. heavyweights can be very strong, but are often rather slow. It still boils down to the individual.
That would be one boring story to read. Reading about statistics, especially made up ones.
Not trying to be mean but what makes a book entertaining is actions. Now if your character were unusually small then it would be beneficial to mention his height and only his height, especially if he beat a much bigger opponent, as it would add to the entertainment value.
If you had done research and published the results of statistics being relative to a good fighter then that too would be worth reading as it would relate knowledge.
But to make up stuff like that, is only entertaining to you.
Size does not matter in a fight, what matters is the skill of the person.
I have seen people far shorter then that destroy people just as tall and even taller
many say it can be between 5''10 to 6"2 but it really depends on the individual.
I am writing a story where the characters are born the "perfect" fighters physique wise and I can't decide on what height they should. Im thinking something around 6'1"-6'4" for the shorter one and 6'6'' for the taller one. I want them to be tall like 6+ to give them an advantage when but im afraid of making the characters too tall as in that case it would be a disadvantage since he would be very clumsy and awkward. Right now i have either 6'6" and 6'4" as a combo or 6'2' and 6'4" as a combo. The reason for the 6'6" is im thinking the taller one might also play basketball/american football which is why I made him so tall while the shorter one swims and plays water polo. Those sports, of course, are only a side element (just something to keep in mind) while the fighting/combat is the most important part.