Please forgive the lack of depth in respect of my mathematical vocabulary. I have searched quite a bit in order to determine the answers for myself, however, if you don't know what mathematical/statistical terms to search for, it can be frustrating!
In essence, I have a set of points in the plane and I would like to determine some "properties" of this set. The best way for me to explain is to cite an example. Say a sheet of paper has a target temporarily stuck on it somewhere and darts are thrown with the intent of hitting this target but most miss (dependent of the skill of the thrower, I suppose!). The target is then removed and the sheet of paper with the points (dart holes in this instance) is analysed.
How would you determine the likely position at which the target was located and how could you put a figure on the "tightness" of the grouping - in the example of this dart thrower, quantifying their accuracy?
I'm not expecting perfect answers, but any indication of what terms to research would be most welcome.
I can work out the "centre of mass" of the grouping, but I'm not sure how to discount "outliers" (actually, I'm not sure how to identify them) and I'm not convinced that this would be the best indication of where the target was likely to be anyway - although I may be wrong in that assumption.