Do these kind of data exist anywhere, or does anyone have any idea of where I can look? I'd be interested in data from any point in history from around the year 1,000 onward.
For height, you should be able to use data from the Museum of London bioarchaeological database. Weight is trickier as there is no reliable way to estimate a person's mass from their skeleton, but there may be some contemporary sources I am unaware of.