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Players receive damage when falling from excessive heights. Armour does not reduce fall damage, unless it is enchanted with Feather Falling or Protection. Fall damage is 1 (half heart) for each block fallen after the third. Thus falling 4 blocks causes 1 half heart damage, 2 (full heart) damage for 5 blocks, 3 (heart and a half) for 6 blocks and so forth. Assuming full health (but no Feather Falling or relevant status effects), a 23 block fall will be fatal (23 - 3 = 20 (Full Heart × 10) of damage).
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Mobs (other than chickens, ghasts, snow golems, blazes, magma cubes, iron golems, ocelots, bats and, presumably, the Ender dragon and wither) suffer fall damage as well.
A skeleton has 10 hearts, as well as zombies and creepers, so the fatal fall distance is 23 blocks for them.
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