This probably has to do with the page template that you are using, and you are using one that has a module that is set to appear on every page. Or, you are copying a page.
You can edit the module from any page, and it will apply to all pages. If you do not want this, use a different page, or specify no page at all.
If there is a module set to appear on every page, you can delete it from one page without affecting the others.
The tutorials in these issues:
should give you some insight. Also, look at