We’ve increased the weight of chickens by about 40 standard deviations relative to their wild ancestors, the red junglefowl. That’s the equivalent of making a human being that is 14 feet tall
I realize this is a very trivial matter on a very interesting post, and I don’t like making a habit of nitpicking. But this feels interesting for some reason. Perhaps it’s just because of the disturbing chicken visuals, I don’t know.
To my credit, I actually made an effort to figure out the author reached their conclusion, and I believe I did. The average adult male is 69“ tall, the std dev is 2.5”, so 40*2.5“ + 69” ≈ 14 feet. Still, it felt intuitively like an incorrect conclusion, I assumed for reasons related to comparing 3d vs 1d metrics. So I asked ChatGPT if the conclusion was correct (to confirm my intuition and perhaps get an explanation why). I’m guessing its assessment of the general nature of the error was correct, but things started going south quickly once it started freestyling with the logic and math.
The good
However, this is incorrect because height and weight scale differently.
Height follows roughly linear scaling.
Weight follows cubic scaling (since volume increases with the cube of height).
The bad
If we assume an average human weighs 70 kg (154 lbs) and apply a 40σ increase, their weight would be unrecognizably large—potentially thousands of kilograms.
Interestingly, I then asked it what adult human weight would be after a 40σ increase, and it correctly calculated it as 670kg (~1450 lbs).
Then I asked it whether its responses were consistent, and that’s when it started to get really… creative.
Thanks again for sharing this opportunity Rohin! Do you know when applicants can expect to hear back about interviews?