How to select last one week data from today’s date

Yes, the syntax is accurate and it should be fine.

Here is the SQL Fiddle Demo I created for your particular case

create table sample2
(
    id int primary key,
    created_date date,
    data varchar(10)
  )

insert into sample2 values (1,'2012-01-01','testing');

And here is how to select the data

SELECT Created_Date
FROM sample2
WHERE Created_Date >= DATEADD(day,-11117, GETDATE())