When we say that something is multidimensional it means it has different, & unconnected variables.
So when we run a query (make a decision) we flatten this multidimensional picture into a rendered state (word, opinion, decision).
It hard to visualize this when it goes beyond the 3 dimensions, but consider the number of inputs and outputs you exercise when performing the most mundane tasks: crossing the street, catching a baseball, or shaking someone’s hand.
The idea of median is utterly redundant, because average depends on a set number of dimensions for its calculation.
Now consider the simplicity of all computers (even Go playing, car driving, image recognizing computers). All machines run on average. The dimensions (variables) are set, and there is one (median) state the machine is seeking.