Blender’s trouble applying Mirror and Subdivision Surface

I have been in trouble when applying Modifiers, both Mirror and Subdivision Surface, in Blender.

wrong object

↑This object has only vertices in right side, and I just apply both Mirror Modifier and Subdivision Surface.
I don’t know the reason but center part looks strange.

I searched this reason but most of the trouble about these two modifiers were which should be above the other (you should put Mirror above Subdivision Surface, and I did so). And I was not able to find the reason.

But I remembered one tutorial :
Blender Mesh » Blog Archive » Creating a Fancy Watch in Blender

tutorial screenshot

And this said delete the face!

I selected all vertices which made the face, and did Delete / Only Faces, then…

fixed object

↑YES! This is what I wanted!
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