define Rank

Definition:

The position that a sites entry is display in any search engine query. For example, if you rank at position #1, you’re the first listed paid or sponsored ad. If you’re in position #18, it is likely that your ad appears on the second or third page of search results, after 17 competitor paid ads and organic listings. Rank and position affect your click-through rates and, ultimately, conversion rates for your landing pages.

Rank is connected to both Organic and Paid listings, separately.