Mean Center and range around the Mean

[HushamMohamed]

I have an incident Point feature class.  I calculate the Mean Center.

Now I would like to  calculate:

25% of the incidents compared to the Mean Center  Then draw a circle to cover the 25%.

50% incidents compared to the Mean Center  Then draw a circle to cover the 50%

What percentage of the incidents  are closer to the xx office compared to yy office.

Any Idea or Model  or Python script.

Thanks

[DanPatterson_Retired · Accepted solution]

Standard Distance ... How it works... is what you want to use

[HushamMohamed]

Thank you Dan,  Not exactly what I want, I am not Measuring the compactness of a distribution this way.  I am looking to draw some thing like buffers  according to the Percentage I mentioned from the mean Center- 

besides need to answer the question of : What percentage of the incidents  are closer to the xx office compared to yy office ( I have 2 offices, point feature.

Thanks

[DanPatterson_Retired]

Husham... that is what it will do... given points, the standard distance represents the distance (a circle radius) that encompasses a certain proportion of the distribution.  a 1 std deviation in both X and Y (check the formula for details) would suggest that 68% of the points would fall within that distance..  So for 50% you want about 0.6745 std distances.  The tool will actually create circles using defaults.  Otherwise you can use the radius to make your own buffers.

[HushamMohamed]

Thanks

Will try that and get back to you.