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The analogy you draw, Phantom, between hobbits (two to four feet in height) and humans (three to six) is actually not entirely accurate.
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The analogy is entirely accurate. The human range is larger because humans are larger. The percentage change remains the same. Two is to four feet as three is to six feet. The range should not stay at two feet for humans.
I'll take this to an extreme to illustrate. If the range stayed at exactly two feet then what if there was a race of giants that averaged 1,000,001 feet tall and nearly all of them fell between 1,000,000 and 1,000,002 feet? As you can see, the range is still two feet but if you stood the tallest and shortest giants next to each other you wouldn't be able to tell the difference. But if there was a race of mini-hobbits that ranged between one millimeter tall and about 2.01 feet tall, there would be a huge difference if you stood them side by side, though the range was still two feet.
Firefoot said what I'm thinking-
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Because hobbits are smaller, I would expect them to have a smaller range of height because proportions are smaller.
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Oh, and Nuru-
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It could also make an interesting fan fiction/RPG, concerning how they actually fought or concerning how they came up with the idea that they did.
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I'm sure that ff/rpg will be done eventually, and I'm also sure it would be really funny.