Alright, I'm in a stat-y mood right now, since I've been knee-deep in developing my own Advanced Star System generator for several weeks, so I feel like taking a crack at this. Or, at any rate, if I ever felt a need to extrapolate height/weight for P/NPC characters, this is how I'd do it.
Assuming you're dealing with the average Imperial/Solomani human, you begin with a height variance, using the formula:
(STR-DEX+(END-7)) * 0.02
Add this number to 1.8 (for males), or 1.66 (for females), and you have their height in meters.
You can use the STR, DEX and END numbers as they are initially rolled for this (the assumed 18-year old stats), or you could use what you come up with after 1 or 2 terms of service. I prefer the latter myself, since I know I didn't stop growing until I was in my mid-twenties at least, and wound up almost two inches taller as a 20-something over my 18-year-old self.
For mass/weight, we'll assume STR and END are the basic factors that make up a person's build, and work from there. There are two formulae in this case, to equate for the differences in how males and female frames 'bulk up'. This accounts for the reality of sexual dimorphism amongst Solomani humans, but note that this has no real affect in-game, unless you have a starship that consists of nothing but tall shelves, or you're faced with explosive decompression and a closet full of Vacc Suits that come in only Women's Size 6.
At any rate, the formulae are:
((STR * END) / 10) + 18 (male)
((STR * END) / 20) + 18 (female)
This gives you a character's basic BMI (Body Mass Index), which is a good stand-in for their frame and musculature. This is their 'fit' status, and assumes that they aren't carrying anything extra around the middle; if you want them to be more sedentary, you can add an additional 1d6 to the result, or even 2d6, if you're in a really sadistic mood.
Unlike the height formula, this number can (and will) vary throughout the lifetime of the character.
Now that you have real-world stats, you can use them to get a real-world number for their mass (weight). And in the real world, weight is derived from height and BMI by the formula:
HEIGHT^2 * BMI
Now, using the stats examples given previously in this thread, we can see how well these formulae work. English & Imperial measurements provided for reference:
111 (The Walking Dead)
Male.......Ht: 1.68m (5' 6"), BMI 18.1, Mass/Weight: 51kg (113lb/8st 1lb)
Female...Ht: 1.54m (5' 0"), BMI 18.1, Mass/Weight: 43kg (95lb/6st 11lb)
777 (Joe and Jane Doaks)
Male.......Ht: 1.80m (5' 11"), BMI 22.9, Mass/Weight: 74kg (162lb/11st 8lb)
Female...Ht: 1.66m (5' 5"), BMI 20.5, Mass/Weight: 56kg (123lb/8st 11lb)
378 (The Weekend Joggers)
Male.......Ht: 1.74m (5' 9"), BMI 20.4, Mass/Weight): 62kg (136lb/9st 10lb)
Female...Ht: 1.60m (5' 3"), BMI 19.2, Mass/Weight: 49kg (108lb/7st 10lb)
B89 (The Gym Monkeys)
Male.......Ht: 1.90m (6' 3"), BMI 27.9, Mass/Weight: 101kg (222lb/15st 12lb)
Female...Ht: 1.76m (5' 9"), BMI 23.0, Mass/Weight: 71kg (156lb/11st 2lb)
6AB (Varsity Track)
Male.......Ht: 1.80m (5' 11"), BMI 24.6, Mass/Weight: 80kg (176lb/12st 8lb)
Female...Ht: 1.66m (5' 5"), BMI 21.3, Mass/Weight: 59kg (130lb/9st 4lb)
3CC (A Pair of Crack Shots ... if they can lift the rifle)
Male.......Ht: 1.72m (5' 8"), BMI 21.6, Mass/Weight: 64kg (141lb/10st 1lb)
Female...Ht: 1.58m (5' 2"), BMI 19.8, Mass/Weight: 49kg (108lb/7st 10lb)
2CC (Break out the Power Armor)
Male.......Ht: 1.70m (5' 7"), BMI 20.4, Mass/Weight: 59kg (130lb/9st 4lb)
Female...Ht: 1.56m (5' 2"), BMI 19.2, Mass/Weight: 47kg (103lb/7st 5lb)
And some extremes, to really test the formulae. Note that the first two are technically feasible, but effectively impossible to get under the conditions I prescribed above.
F1F (Mr & Mrs Sleestak)
Male.......Ht: 2.24m (7' 4"), BMI 40.5, Mass/Weight: 203kg (447lb/31st 13lb)
Female...Ht: 2.10m (6' 11"), BMI 29.3, Mass/Weight: 129kg (283lb/20st 3lb)
1F1 (The Crack Shot Sprites)
Male.......Ht: 1.40m (4' 7"), BMI 18.1, Mass/Weight: 35kg (77lb/5st 7lb)
Female...Ht: 1.26m (4' 2"), BMI 18.1, Mass/Weight: 29kg (64lb/4st 8lb)
CCC (The Olympians)
Male.......Ht: 1.90m (6' 3"), BMI 32.4, Mass/Weight: 91kg (200lb/14st 4lb)
Female...Ht: 1.76m (5' 9"), BMI 25.2, Mass/Weight: 78kg (172lb/12st 4lb)
222 (The Hemophiliac Twins)
Male.......Ht: 1.70m (5' 7"), BMI 18.4, Mass/Weight: 53kg (117lb/8st 5lb)
Female...Ht: 1.56m (5' 2"), BMI 18.2, Mass/Weight: 44kg (97lb/6st 13lb)
The numbers seem to work great, except for the freak stat ones, and they're really not going to happen, outside of genetic engineering. Try them out yourself, and see what you get.
As a final note, the numbers can be fairly customized for different versions of humaniti simply by adjusting the baselines. Your basic Zhodani, for example, should work with 2.0m for baseline height and 22.5 for baseline BMI (the 18 number in the original formula). I dunno about sexual dimorphism in this case; maybe it's 2.1 for Zhodani males and 1.9 for Zhodani females, assuming a similar ratio as Solomani humans, but that's not really a safe assumption.