I apologize for my incautious and ill-conceived post.
You are correct. I should certainly have said "median" instead of "average".
I was utterly wrong to do so, and my reply was as petulant and uncalled for as my original post was sloppy.
Please forgive my ignorant impudence and presumption, though I deserve no such consideration. I have deleted both of my offending posts, so that such gross misconcepations may not further spread
You were right. I was wrong.