Undefined offset: 1 in CRM_Utils_Check_Security->guessUrl()
So I think I found the fix. 

I had my Images directory under Admin=>Directories to the following:
/home/my_site/www/www/civi_images

The Image Upload URL under Admin=>Resource URLS to the following:
https://saintfrancisocc.org/civi_images

When I upgraded to 4.6.2 is when I started getting the error. I checked that line in the Security.php file and it referred to the uploadurl as samuelsov stated. So I thought I'd try changing that to something else and see if it fixed it.

I changed the Images director under Admin=>Directories to the following:
/home/my_site/www/www/sites/default/files/civicrm/civi_images/ 

And changed the Image Upload URL under Admin=>Resource URLS to the following:
https://saintfrancisocc.org/sites/default/files/civicrm/civi_images/

I went and refreshed and no more error. So it appears that civi 4.6.2 doesn't like the upload directory to be at the root