How to pass a variable from Activity to Fragment, and pass it back?

To pass info to a fragment , you setArguments when you create it, and you can retrieve this argument later on the method onCreate or onCreateView of your fragment.

On the newInstance function of your fragment you add the arguments you wanna send to it:

/**
 * Create a new instance of DetailsFragment, initialized to
 * show the text at 'index'.
 */
public static DetailsFragment newInstance(int index) {
    DetailsFragment f = new DetailsFragment();
    // Supply index input as an argument.
    Bundle args = new Bundle();
    args.putInt("index", index);
    f.setArguments(args);
    return f;
}

Then inside the fragment on the method onCreate or onCreateView you can retrieve the arguments like this:

Bundle args = getArguments();
int index = args.getInt("index", 0);

If you want now communicate from your fragment with your activity (sending or not data), you need to use interfaces. The way you can do this is explained really good in the documentation tutorial of communication between fragments. Because all fragments communicate between each other through the activity, in this tutorial you can see how you can send data from the actual fragment to his activity container to use this data on the activity or send it to another fragment that your activity contains.

Documentation tutorial:

http://developer.android.com/training/basics/fragments/communicating.html

Sending data from Activity to a Fragment

Activity:

Bundle bundle = new Bundle();
String myMessage = "Stackoverflow is cool!";
bundle.putString("message", myMessage );
FragmentClass fragInfo = new FragmentClass();
fragInfo.setArguments(bundle);
transaction.replace(R.id.fragment_single, fragInfo);
transaction.commit();

Fragment:

Reading the value in fragment

@Override
public View onCreateView(LayoutInflater inflater, ViewGroup container, Bundle savedInstanceState) {
    String myValue = this.getArguments().getString("message");
    ...
    ...
    ...
}

But if you want to send values from Fragment to Activity, read the answer of jpardogo, you must need interfaces, more info: Communicating with other Fragments

thanks to @ρяσѕρєя K and Terry ... it helps me a lot and works perfectly

From Activity you send data with intent as:

Bundle bundle = new Bundle(); 
bundle.putString("edttext", "From Activity"); 
// set Fragmentclass Arguments
Fragmentclass fragobj = new Fragmentclass();
fragobj.setArguments(bundle);

and in Fragment onCreateView method:

@Override
public View onCreateView(LayoutInflater inflater, ViewGroup container,
        Bundle savedInstanceState) {
    // get arguments
    String strtext = getArguments().getString("edttext");    
    return inflater.inflate(R.layout.fragment, container, false);
}

reference : Send data from activity to fragment in android

Use the library EventBus to pass event that could contain your variable back and forth. It's a good solution because it keeps your activities and fragments loosely coupled

https://github.com/greenrobot/EventBus