Hello Friend, Toolbar is the way to check PR , PR which is provide us by the search engine for our quality of website.
PageRank is a system developed by Google founders Larry Page and Sergey Brin for ranking the web pages that are in Google's index. While some are claiming that PageRank is going to be discontinued, Google currently states on their Google Technology webpage that "PageRank continues to provide the basis for all of our web search tools." PageRank is displayed on the Google toolbar and in the Google directory. The toolbar PR is a scale with 10 steps, while the directory PR is a scale with 7 steps. Both the toolbar and the directory display the PR as graphic bar. You can mouse over the toolbar graphic bar and it displays the PR in a tool tip but the directory only provides the graphic bar with no mouse over reading. While Google is quite tight lipped about PageRank, the commonly held view is that the PR displayed on the toolbar and in the directory are only a scale of what many refer to as real or raw PageRank. It is the real PageRank that is a factor that is used to determine Google's order of results in all their search engines searches, not toolbar displayed PR. What we see on the toolbar and in the directory is derived from this real PageRank.
Does anybody has any clue on how exactly is public PR different from Google's private PR? What are they displaying to us? I suppose if I would do such a thing I would want to preserve processor time, since PR calculus takes a long time. So the public PR is probably calculated at the same time as Google's real PR. Maybe they are just randomly omitting some inbound links for public PR? It is probably something simple yet which could look logical to observers.