Centaurs are monstrous humanoids. They must buy armor as barding.

Hearth Strider: This tribe has more close relations with the races of mankind, and due to their smaller build, are able to integrate easily. They are known to commonly trade with, live, and battle alongside humans and elves. Hearth Strider centaurs that train as Fighters or Paladins commonly wear full plate or other heavy armor.

• Monstrous Humanoid (3 RP) 
• +2 Strength, +2 Dexterity, -2 Intelligence (Specialized, 1 RP)
• Medium size
• Quadruped (2 RP)
• Space/Reach: 5 feet/5 feet.
• Base land speed is 40 feet. (Base Normal + Fast, 1 RP)
• Dark Vision
• Keen Senses: Centaurs gain a +2 bonus on Perception skill checks. (2 RP)
• +1 natural armor bonus. This bonus increases by +1 for every 5 character levels. (2 RP)
• Automatic Languages: Common and Sylvan. Bonus Languages: Elven, Gnome, Gnoll
• Total RP 11 

Oakblood: These centaurs more closely resemble elk than horses, their human foreheads bearing antlers (both sexes). Their culture is more centered around the magical aspects of nature than other tribes.

• Monstrous Humanoid (3 RP) 
• +4 Strength, +2 Wisdom, +2 Constitution, -2 Intelligence (Specialized, Adv Wis & Str, 9 RP)
• Large size. -1 penalty to Armor Class, -1 penalty on attack rolls, -4 penalty on Stealth checks, +4 CMB, lifting and carrying limits double those of Medium characters. (7 RP)
• Space/Reach: 10 feet/5 feet. 
• Undersized Weapons (Ex) Although a centaur is Large, its upper torso is the same size as that of a Medium humanoid. As a result, they wield weapons as if they were one size category smaller than their actual size (-2 RP)
  
• Quadruped (2 RP)
• Base land speed is 50 feet. (Base Normal + Fast x 2, 3 RP)
• Dark Vision
• Natural Attack (Antlers) 1d8 damage (1 RP)
• Keen Senses: Centaurs gain a +2 bonus to sight- and hearing-based Perception checks. (2 RP)
• +1 natural armor bonus. This bonus increases by +1 for every 5 character levels. (2 RP)
• Automatic Languages: Sylvan and Elven. Bonus Languages: Common, Gnome. (0 RP)
• Total RP 27

Deepwood Mustang: As the standard Pathfinder Centaur, except as follows:

• +1 natural armor bonus. This bonus increases by +1 for every 5 character levels.
• Total RP 28