If you'd like to delete any of your posts, you can do that by clicking the Edit button when viewing your post, or through the Manage Posts screen. 

Delete the Post You're Currently Viewing

If you're in secure mode and viewing the post you'd like to edit, you can click the Edit button from the right-hand side of the screen, opposite the post title, to bring up the editor window:

 
In the editor, click on Delete Item to delete your blog post:

Choose a Post to Delete

Delete any of your posts, navigate to the Manage Posts screen, and then use the checkbox to select the post you'd like to delete:

Then, in the Ribbon, click to delete your post:

Note: if you don't see the buttons shown here, then click on Items to show them: