@acer I never thought of using InertForm:-Display

@Carl Love How could the angles be labeled in a clockwise manner: 0, -pi/4, -pi/2, ... , -7pi/4?

@Carl Love Thank you!

@nm Is it possible to display only 0, pi/4, pi/2, 3pi/4, pi, 5pi4, 3pi/2 and 7pi/4 on the polar grid in your reply?

@acer I like this approach. How might this be modified if S contains, say, mxn matrices? Would you recommend mapping the matrices to vectors in R^(mn)?

@acer Yes, I understand. What I don't understand is why the default format is what it is. I am not sure why you made the comment about me not being "concerned." Thanks for you response. 

@acer This is great. Thank you for your quick response and excellent solution.

@Carl Love Thank you for the clarification. I'll keep this in mind!

@dharr Thanks!

@acer Now it works. Thanks!

@vv I'm using your code and I'm not able to reproduce your results. I am getting:

Download graph.mw

@Kitonum I feel badly that such a simple, and elegant, solution exists and I wasn't able to discover it. Thank you, so much.

@mmcdara This is what I was looking for. I am glad you showed the process for Gaussian RVs, as well as non-Gaussian RVs.

@Rouben Rostamian  This is almost what I want. I want the placement and direction of the arrowheads to be automated dependent on the critical values of the DE and the sign (+ or -) of the DE. Also, I want the axis to be oriented vertically, not horizontally. I will try and modify your code to reflect these changes! Much appreciated.

@acer Yes, my goal is to print a statement that includes text of the form: This is the 5th object with a certain property. So, I would rather not have the double-quotes showing.