Search Engine Rank (Search Rank)
Definition - What does Search Engine Rank (Search Rank) mean?
Search engine rank (search rank) refers to the position a particular Web page holds in the results for a specific query. There may be many pages of results depending on the query, so the search rank refers to the specific page on which a given Web page appears as well as its position on that page. Websites want their pages to have a high search rank for a relevant query, ideally the top position on the first page of results.
Techopedia explains Search Engine Rank (Search Rank)
Theoretically, the most relevant Web pages will be on the first page of results in descending order, with the most relevant appearing first, followed by increasingly less relevant pages. Less relevant Web pages will be relegated to the second, fourth, eighth or 80th page of results. Many factors play into the search rank of a given Web page, including the freshness of the content, the trustworthiness of the site, the page's metadata and so on.
Referring specifically to Google’s search engine, the search rank and the PageRank are two distinct concepts, although a high PageRank will help sites get to a higher search rank.