Why Every Bus You Catch Is on a Longer-Than-Average Gap
Disclosure: this post was written with the assistance of an AI system (Claude), which wrote the analysis code, ran the experiments and drafted the text. The topic, the constraints, the data choices and the final review are the author’s. Buses that average a 10-minute gap will, if the gaps are uneven, leave the average passenger sitting in a 20-minute gap and waiting 10 minutes instead of 5. Nobody is misremembering. The same arithmetic makes the average student’s class bigger than the average class, and it has a one-line formula that says exactly how much bigger....