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How to fill data from web api into Custom listView in android

I want to fetch data from web api and fill in ListView in android. I have already learnt how to call web api and successfully done in my app, but the problem is how to show in my ListView? I want to fill data as in shown in below image.
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How can I fill as exactly as in image? Which components are used in ListView? If this is not a ListView then which layout is this? I also want to know how can I use above buttons(Overview, matches, Teams, standings ). I want to change the data when I press different buttons. Please share your experiences and suggest me some learning sources.

create a custom java class describing a single Item as an object that will contains a number of variables for storing data that will come from web API.
create a custom layout (list_item.xml) contains two ImageViews and 3 textviews .
store your API data in an Arraylist of type (YourCustomJavaObjectclass).
create a custom Arrayadapter , then inflate the (list_item.xml) inside the getView method and then bind your views with data from the ArrayList.
For more info read this article
https://github.com/codepath/android_guides/wiki/Using-an-ArrayAdapter-with-ListView
For creating these (Overview, matches, Teams, standings) you have to use ViewPager and FragmentPagerAdapter , for more Read this https://github.com/codepath/android_guides/wiki/ViewPager-with-FragmentPagerAdapter

sort listview in descending order i.e. newly added item should be at top

I have taken a list view, used async task to fetch the data in json format. I want to display newly added item at top of the list view. I tried some ways but not so better result. how to do this ?

Since you didn't provide any code, here's my answer:
Just use this line to add to the ArrayList or List you are using:
yourList.add(0, newObject)
and then call adapter.notifyDataSetChanged().

How to create a dynamically updating custom list view in Android?

I want to show some text and an image in each listview element in my Listview. But the text and the image are actually stored in a MySQL database in my server.
I've figured out how to download the text and image pair from the MySQL database on the server. Can we create an dynamically updating ArrayList which is fed to a CustomListAdapter? Or is there any other way to show the ListView items similar to a Facebook News Feed?
Note: The image and text for each listview element would be downloaded in the background.

Create model class With Bitmap and String and create an ArrayList of type Your model class . Now retrieve data and set model class with bitmap and string and put this object into arraylist and fed this areaylist to your custom adapter . Will work . Hope this helps!

After change in your ArrayLists, you need to call
adapter.notifyDataSetChanged();
to see the changes in the ArrayLists reflected in ListView.
Now download, update the ArrayLists supplied to adapter and call the above method whenever you want in the app based on how your functionality is expecting the ListView to refresh.

Android display multiple lists values

I am doing android application. In That I want to display a List of podcast urls like shown in the Image. In this I also share this url into FB, twitter and etc and also the user clicks the arrow symbol I want to forward to that podcast url.
I am having those values in separate arraylist (i.e. "4353,3424" as a arraylist and "567567, 234234" as a another arraylist likewise). So how can I display these values like shown in the attached image. Can anyone help me how to proceed to display like this?

I'd recommend you had a look at some of the tutorials on how to implement your own custom ListView.
An example can be found here: http://www.thepcwizard.in/2012/09/android-creating-custom-listview-for.html
Also I'd recommend you create a custom class for holding the different informations in every row of the ListView. When doing it like this you can have one single List<MyCustomObject> holding all informations and then when a row is clicked, you simple get the item from the List<MyCustomObject> and get the specific property of the custom object and act accordingly.
EDIT: Small example of how to add onClickListener to a sub-view of the row:
Inside the getView method of the custom Adapter you can use setOnClickListener to the views, you'd like to respond to clicks. For instance:
myImageView.setOnClickListener(this);
Then let your custom Adapter implement the interface OnClickListener and act accordingly to the clicks.
Another way would also be to add a Share Intent to the different images, like in this example:
http://sudarmuthu.com/blog/sharing-content-in-android-using-action_send-intent

You would need to create a custom ArrayAdapter to populate a ListView from this objects the way you want.
The advantage of this technic is that you gain a Views recycle mechanism that will recycle the Views inside you ListView in order to spend less memory.
In Short you would have to:
1. Create an object that represents your data for a single row.
2. Create an ArrayList of those objects.
3. Create a layout that contains a ListView or add a ListView to you main layout using code.
4. Create a layout of a single row.
5. Create a ViewHolder that will represent the visual aspect of you data row from the stand point of Views.
6. Create a custom ArrayAdapter that will populate the rows according to you needs.
7. Finally assign this ArrayAdapter to your ListView in onCreate.
You can get an Idea of how to implement this by reading this blog post I wrote:
Create a Custom ArrayAdapter

How to make a list that can show the changeable content

I have build an application in android. This app needs to display a list of text, but the list of text increase continuously. It means user can see increased list of text. Each text is separated by a horizontal row. It looks like google market when market try to show list of applications. How can i do in this situation ?

You didn't mention where the data came from but let's suppose that you have an ArrayList of your model Text.
Steps:
Add a ListView to your layout
Extend ArrayAdapter
Set this new adapter to your ListView
Modify the array adding/removing new stuff
Notify the ListView that the data has changed using the adapter's notifyDataSetChanged() method.