median confidence … is 79%, and the mean confidence is 90%.
That is impossible with confidence bounded by 100%. Take an extreme case: just over half the population puts 79%, half 100%. Then the mean is just under 89.5. I checked that you switched the mean and median.
a minor typo:
That is impossible with confidence bounded by 100%. Take an extreme case: just over half the population puts 79%, half 100%. Then the mean is just under 89.5. I checked that you switched the mean and median.
Fixed.