What kind of object your tableData is? UITableView should have a delegate of kind UITableViewSourceData which provides it with data. Usually it's a controller that contains this UITableView. When UITableView has to draw the cell it call the delegate method:
- (UITableViewCell *)tableView:(UITableView *)aTableView cellForRowAtIndexPath:(NSIndexPath *)indexPath
which your delegate has to implement. You create some array/dictionary object to keep your data and feed it into cell, when asked.
If your tableData is NSMutableArray already, you can call on it removeAllObjects. What do you mean by adding it to Object?
if you want to see the change in your table, just call [<name of your table instance> reloadData]