I've been coaching high school sprinters for a number of years and what I've seen is there is a strong correlation between strength and speed, especially strength relative to body weight. Of course this is backed up by the research but it's kind of cool to see in practice. You can dang near draw a graph between athletes times and their max weight numbers. Strength isn't the end all be all, but the relationship is clearly there. Even athletes that have never been in the weight room but are naturally fast can generally put up similar weight numbers in the gym to what I've got listed below with just a little weight lifting which tells me they were already pretty strong. I love the deadlift for testing overall strength, deadlift numbers almost never lie. I wouldn't even know how to compare squat numbers between athletes, everybody squats a little differently and no one goes down the exact same amount. With your dead lift and squat numbers so far out of whack I would guess your squat was pretty bogus, maybe a quarter squat or something?
The vertical jump is an even better predictor of sprint times, it takes bodyweight, and power output all into account in one easy test. Most athletes with a 30"+ vertical can run in the low 11s and mid-low 22s for the 100 and 200 with sprint training, minimum.
Here's some rough estimates from what I've seen from coaching hundreds of high school sprinters:
2x body weight in the deadlift is the holly grail for a high school boy, that kind of strength will generally get you under 11.5 FAT in the 100 and close to 23 in the 200. Taller athletes can generally run faster with less strength from what I've seen. Last year I had a kid who weighed only 130 pounds who dead lifted 260, he ran 11.3 and 22.9 FAT, he was short though only about 5'6". Years ago I had a tall skinny kid about 6'2", his deadlift was only around 1.6 x body weight, he never really lifted weights though, but he went 11.0 and 22.0 FAT, in Colorado 11 and 22 are pretty competitive in high school. My guess is he could really pull somewhere around 1.8 x body weight if he ever actually went in the weight room once in a while.
For girls 1.5 x body weight is a great goal to start with. That kind of strength will generally get a girl under 13 seconds FAT for the 100 and close to 26 seconds for the 200. Again pretty competitive in our neck of the woods. I've had girls who were putting up those kind of times who had never lifted a day in their life pick up 1.5 x their body weight the first time in the weight room, point made. I've had a couple of girls who got close to 2x body weight that were running in the low 12s and under 25 seconds FAT, great stretch goals for any girls aspiring for greatness.
Most high school boys weigh somewhere between 150 - 180 lbs by the time they graduate, so your goal should be to pull 300 lbs + from the floor by your junior/senior year.
For girls the number we shoot for is 200 lbs + which for a typical 120-140 lbs girl gets them close to 1.5 x body weight.
Hopefully that puts things into perspective.
Of course you have to actually be training for the sprints as well, you can't just walk out of the weight room and run these kinds of times...
There also comes a point of diminishing returns, I've had a few boys pull 400 lbs+ and their times really weren't any better than they were when they were pulling 300 lbs. At some point you need to sprint to get faster, you need to fix your form and you need to develop your power and elastic strength. You'll never see the south side of 11 seconds or 22 seconds just by getting stronger. We don't lift weights much anymore during the season, but these are still good numbers to shoot for in the off season.