I have 2 Fragments.
When I click a button in Fragment 1 here what I do:
- I set the variable 
String title = "Lady Gaga". - I will show the 
Fragment 2. 
When the Fragment 2 is shown, I want to display the title text.
How to do it?
I have 2 Fragments.
When I click a button in Fragment 1 here what I do:
String title = "Lady Gaga".Fragment 2.When the Fragment 2 is shown, I want to display the title text.
How to do it?
you can use bundles to pass data :
            Bundle data = new Bundle();
            data.putString("title", "my title");
            Fragment fragment2 = new Fragment2();
            fragment2.setArguments(data);
            FragmentTransaction agm_ft = getSupportFragmentManager()
                    .beginTransaction();
            agm_ft.replace(R.id.frag_containor, fragment2,
                    "agm_frag");
            agm_ft.addToBackStack(null);
            agm_ft.commit();
and get it back on next fragment:
    Bundle getData = getArguments();
    title = getData.getString("title");
1) Create a Interface
public interface TitleChangeListener {
    public void onUpdateTitle(String title);
}
2) in Fragment 2
Create a public method
public void setTitle(String title){
    //Do Somthing
   }
3)Let Activity implement Interface TitleChangeListener and override onUpdateTitle
 public void onUpdateTitle(String title){
  fragment2.setTitle(title);
 }
4) In Button onClickListner , 1st Fragment
   TitleChangeListener listener=(TitleChangeListener)getActivity();
   listener.onUpdateTitle("Lady Gaga");
For getting string from one fragment to another you have to use bundles and set them to as arguments like :
//on button click
String title = "Lady Gaga";
        Fragment fr = new Final_Categories_Fragment();
        Bundle b = new Bundle();
        b.putString("title", title);
        fragmentManager.beginTransaction()
                .add(R.id.list_frame, fr, "last").commit();
        fr.setArguments(b);
//Now on another fragment you have to get this argument 
@Override
    public View onCreateView(LayoutInflater inflater, ViewGroup container,
            Bundle savedInstanceState) {
        View rootView = inflater.inflate(R.layout.sub_child_category_listview,
                container, false);
        ...
    String  title = getArguments().getString("title");
    ...
        return rootView;
    }