"At a county fair held in Plymouth, 800 visitors had participated in a competition to guess the weight of an ox. While most people's estimates were too high or too low — falling an average of 37 lbs. away from the true weight of 1,198 lbs. — the median of everyone's guess was off by only 9 lbs., or less than 1 percent of the true weight of the ox."
Curiously there is also some "within individual" averaging that helps too. If you would ask the same person to estimate the project timeline a few times, spaced temporally, then take the average, it'll probably be more accurate than a single estimate.
[0] https://www.npr.org/sections/13.7/2018/03/12/592868569/no-ma...