The Elevator Problem


Where do you stand?

You enter a hotel lobby and see a bank of elevators on the opposite wall of the lobby. In this strange hotel with many, many floors, the elevators are not evenly spaced along the wall, but their distance from the corner of the lobby is marked (in meters). Also, none of the elevators have indicators telling you which floor they are on, so you never know when one is coming. You walk across the lobby to stand in front of the elevators. Where do you stand while you wait? What about the spot you picked (qualitatively and quantitatively) makes it the best place to stand?

Different Options

What position do each of the following statistics correspond with? Why might each of them be a good choice? *midrange *median *mean *trimmed mean