How to get 5 values of the Checkboxs out of 31 and store the selected variables in android

I'm new to android and I wanted to ask the pros to give me a helping hand. Currently Im trying to make a simple app that will send 5 variables from the checkbox selected out of the 31 checkbox. Sample image of what Im tryin to do http://ift.tt/1ATM79W

But Im having the difficulty to do this. Should I use a array list to store or use something else? If possible a example or a sample would help a noob like me!