Based on their research, the answer to the question "What is your rank in search results?" is the first position of a link to your site. Previously we reported the average position of all links to your site. Now your Google Analytics reports will be updated to reflect the first position.
An example calculation
We anticipate that this new method of calculation will more accurately match your expectations about how a link's position in Google Search results should be reported.
How will this affect my Google Analytics data?
This change will affect your Search Engine Optimization reports, when your data in Google Analytics Search Engine Optimization reports will be calculated using the new method. Historical data will not change. Note that the change in calculation means that the Average Position metric will usually stay the same or decrease, corresponding to the same or improved search ranking.
We look forward to providing you a more representative picture of your Google Search data. Please let us know any feedback you have.
Posted by Chris Anderson, Google Analytics team