Hello, I'm in an aspiring high school math teacher who is in his first math-teaching course, and we have split into groups that must teach the class for 2 weeks a different subject. My group is "data analysis and probability." I was trying to come up with a fun lesson for the class and thought using the Wisdom of the Crowd technique may be cool. Something as simple as guessing the number of jelly beans in a jar. Of course I know the sample size would have to be more than 20 people, but that's not the issue; we can always make it a project and put the jar outside the classroom and collect data from passers by. My question really is about how exactly does this technique relate to data analysis and probability. I mean, it's pretty clear how collecting data and analyzing it works in this experiment (learning how to average results), but what exactly does this experiment tell us about the nature of probability? Would need to build a lesson based around the core concept. From the research I've done on this it seems there are some conflicting views on what exactly is going on. Any advice on how to incorporate this into a fun learning experience would be greatly appreciated.