If purple or violet is your favorite color, you have a deep need for emotional security and to create order and perfection in all areas of your life, including your spiritual life. You also have a deep need to initiate and participate in humanitarian projects, helping others in need.
Some apps store their save games/configuration data files on /sdcard/APPNAME/ , or just on the /sdcard/. To be able to use root apps, you'll need to have rooted your Android device and have given permission from one of the superuser apps.
Game Center does not currently have any mechanism for saving game progress. For games which store progress information on your device, that information will be deleted when you delete the app. However, it will be backed up in iTunes, so you can restore this from a backup (see this question for more information).