Here we go. All length measurements are taken from end to end in a straight line. Scale is accurate to about +/- 2 ounces. Point of balance is measured from the bolster or guard. (If both are present, measurement is from the guard.)
Some HI swords:
Dukti: 30 ounces, 27", POB 5.5"
Bob White Bolo: 25 ounces, 20.5", POB 3.5"
Manjushree: 32 ounces, 27.5", POB 4.5"
Tibetan Sword: 33 ounces, 32", POB 5"
Antler Napoleon Sword: 27 ounces, 36", POB 4.5"
Monster Napoleon Sword: 33 ounces, 36.5", POB 5.5"
Napoleon Sword: 19 ounces, 31", POB 6"
Tarwar: 36 ounces, 29.5", POB 5.5"
Everest Katana: 42 ounces, 36.5", POB 5"
Note the length-to-weight ratio of the Napoleon swords. The really amazing thing is that, due to their triangular cross section, they're actually quite strong. I would not use one for a prybar but they will take thrusts to interior doors and chop up plywood without harm.
Note also that besides the BWB (which isn't really a sword but got listed here because it's definitely not a khuk) all of them have a point of balance within a 1.5" range, despite their differing lengths and makers. (Mostly Bura, some Sher.) They're also similar to the numbers SASSAS posted, except that his seem to be a bit further out and the overall weights are a bit less. Is this a trend?
Interesting.
Some "swordlike" HI khuks, for comparison:
30" Sirupati: 44 ounces, 30", POB 8"
18" Salyan: 18 ounces, 18", POB 3"
20" Jange: 28 ounces, 20", POB 5"
The Salyan is blazingly fast but not much good on wood. The Jange is an excellent multipurpose khukuri with a "weapony" feel to it. The Siru is, not surprisingly, a beast. (That's the one I chopped up the truck fender with.) It tires me out in mere minutes.
Some non-HI swords, for more comparison:
M1913 Cavalry Saber: 40 ounces, 38.5", POB 3"
1796 Light Cavalry Saber: 30 ounces, 33.5", POB 8"
Brass Handled Falcatta: 47 ounces, 25", POB 4.5"
Barong: 28 ounces, 25", POB 5"
Grosse Messer: 60 ounces, 38", POB 5.5"
The 1913 is balanced for an agile tip but due to its weight, it's still not as lively as a shorter sword. The Falcatta is a full 47 ounces and feels like twice that much - it's a tip heavy slug. On the other hand, the Grosse Messer, despite being nearly four pounds in weight, handles very well in two hands and acceptably in one, yet still hits like a four pound sword. (As in, it hits like a dump truck.) Back to the HI swords, my smallest Napoleon (at 19 ounces) has its point of balance way out there at 6", yet at such a light weight it's the most nimble of my entire collection.
This brings me to my main point here: the numbers are not everything. But, they can tell us a lot.
One final note: not all the HI swords appear to be differentially hardened. Out of my collection, the Napoleons, Dukti, and Manjushree all seem to be through hardened to something a bit harder than a spring temper. Certainly not a bad choice from a performance standpoint, let alone a production one, and they are strong enough for my liking.