Yet another place where intuitions derived from the normal distribution about the behavior of distributions screws people. An explanation I like, from michaelochurch: Let's say that you have 20 tasks. Each involves rolling a 10-sided die. If it's a 1 through 8, wait that number of minutes. If it's a 9, wait 15 minutes. If it's a 10, wait an hour. How long is this string of tasks going to take? Summing the median time…
No need to talk about distributions, gaussian or otherwise.