Point distance statistics from polygon vertices

[IoannisDafermos]

A tool that calculates distance statistics (such as min, max, average) from a given point to the vertices of a polygon.

[KoryKramer]

Couldn't you use something like Feature Vertices To Points—Data Management toolbox | ArcGIS Desktop and then use Generate Near Table—Help | ArcGIS Desktop to calculate proximity from your given point to each vertex.

Summary Statistics—Help | ArcGIS Desktop  on the near table will give you what you want.  

This will be a better way to accomplish what you want today rather than request an overly specific tool...

[IoannisDafermos]

I have already tried the method you are proposing and it has worked. I just thought it might be useful to have a tool that implements it directly. Thank you!