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PageRank (PR):- It's a quality metric invented by Google's owners Larry Page and Sergey Brin. The values 0 to 10 determine a page's importance in search (Google), reliability and authority on the web based on Google's algorithm.

Alexa Rank:- This is an algorithm according to Alexa.com traffic ranking. It is based on the amount of web traffic recorded from users that have the Alexa toolbar installed over a period of three months and 1 month estimated rank. This traffic is based on such parameters as online/mobile reach and page views.

Page rank is more important than Alexa rank, as Page Rank is given by Google the search engine giant on the basis of page content, backlinks, and other phenomena while Alexa ranking mostly concerns with the site traffic.

Page rank is no more important as Google has stopped updating their page rank algorithm. It is different from Alexa rank.

Thank all of you-
you get rid of my little confusion