Has it ever been clarified whether battle axes are 1 or 2 handed? The wiki doesn't really specify.
Battle axes are one-handed for 38 out of 49 dwarves and unwieldable by 1 in 49 dwarves. Full data below.
48/49 can one-hand: war hammer, short sword, mace, morningstar, scimitar, training sword (37500 size)
38/49 can one-hand: battle axe, spear, pick, flail, training axe, training spear (47500 size)
31/49 can one-hand: long sword (57500 size)
3/49 can one-hand: pike, halberd, two-handed sword, maul, great axe (77500 size)
1/49 cannot wield: war hammer, short sword, mace, morningstar, scimitar, training sword (32500 size)
(Edited three-and-a-half months later: the above should be 0/49, as somehow I managed to miss that 32500 < 33750 despite being able to work everything else out.)
1/49 cannot wield: battle axe, pick, flail, training axe, training spear (42500 size)
11/49 cannot wield: long sword (52500 size)
17/49 cannot wield: pike, halberd, two-handed sword, maul, great axe (62500 size)
49/49 can wield one-handed: whip, crossbow, bow, blowgun, large dagger, scourge
Spears are a special case, with a relatively large one-handed size of 47500 but a very small minimum size of 5000.
Seems odd that almost a quarter of dwarves can't wield a shield plus an axe or spear (or pick or flail, but those are less common options). I got these figures by taking the 60000 dwarven racial average and then multiplying it by each combination of height and broadness modifiers.
The (very!) raw numbers:
75 95 98 100 102 105 125
75 33750 42750 44100 45000 45900 47250 56250
95 42750 54150 55860 57000 58140 59850 71250
98 44100 55860 57624 58800 59976 61740 73500
100 45000 57000 58800 60000 61200 63000 75000
102 45900 58140 59976 61200 62424 64260 76500
105 47250 59850 61740 63000 64260 66150 78750
125 56250 71520 73500 75000 76500 78750 93750