"The vast majority of people are far less intelligent / sophisticated than their own normal when stressed."
I got it - was making a sort-of joke - scams don't need to be that sophisticated or work on everyone, because exactly half the population has a below average IQ.
median != mean
Actually, median == mean for IQ, and for any other thing that follows normal (Gaussian) distribution.
A weird point to make, because in the context of a measure specifically constructed to have a normal distribution (IQ), the median definitely is equal to the mean. You are right in the general sense, and wrong in this instance.
Depending on the context, any representative measure of central tendency, such as the mid-range, median, mode or geometric mean, can be called the average.