There could be lots of reasons to delete your own blog. But most of you guys do not know how to do it.
Just log in to your Blogger Dashboard. Click on Settings.
Then click on Basic.
In the very first option Blog Tools you will find a way to Delete blog.
Click on it. A new page will open. Click on Delete This Blog. It's done.
For older blogger click on Settings > Basic and scroll down to find a Delete This Blog option.