But wait! Doesn't your blogger template already contain the following line which instructs the Google bot to leave your archive pages?
<b:if cond='data:blog.pageType == "archive"'>Why, then, the archive pages still appear in search results? One reason could be that you changed your template. While the template may be updated now (you could verify by viewing the page source of your rendered archive pages to see if there is a meta robots tag), at some point in time your archive pages didn't contain this tag, and that's exactly the time when Google indexed these pages. To confirm this hypothesis, you just need to check the source of the "cached archive page" on Google.
<meta content='NOINDEX' name='ROBOTS'/>