Not sure what you mean by "percentiles". Could you explain that a little?
I looked at the pricing average and I'll see what that ends up permitting. Rangers though I read wear light armor.
So I found the part where it mentions improving bows to which you can make them deal more damage:
Quote:
Longbow, Composite:
You need at least two hands to use a bow,
regardless of its size. You can use a composite longbow while
mounted. Composite bows are made from laminated horn, wood, or
bone and built with a recurve, meaning that the bow remains bow-
shaped even when unstrung. All composite bows are made with a
particular strength rating (that is, each requires a minimum
Strength modifier to use with proficiency). If your Strength bonus is
less than the strength rating of the composite bow, you can’t
effectively use it, so you take a –2 penalty on attacks with it. The
default composite longbow requires a Strength modifier of +0 or
higher to use with proficiency. A composite longbow can be made
with a high strength rating (representing an especially heavy pull) to
take advantage of an above-average Strength score; this feature
allows you to add your Strength bonus to damage, up to the
maximum bonus indicated for the bow. Each point of Strength
bonus granted by the bow adds 100 gp to its cost. For instance, a
composite longbow (+1 Str bonus) costs 200 gp, while a composite
longbow (+4 Str bonus) costs 500 gp.
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They're very expensive but definitely an incredible investment later on. If I change my stats around to get 16 str, I can get a +3 composite bow in the future and get a +3 to all damage rolls with my bow.