So there are rooms full of women and then they ask how many of you are above average and all of them claim to be then the speaker says more than half of you can not be above average
The speaker needs to be more specific
More than half can be above the mean but it is not possible for more than half to be above the median
But then I suspect that more than half are below the mean when it comes to intelligence so that they would not understand it if the speaker explained