The daily list now includes the distribution of the reviewer ratings in addition to the rating itself. In other words, instead of just showing a rating of 4.5 for a book, it now also shows the number of 5-star ratings, 4-star ratings, 3-star ratings, 2-star ratings, and 1-star ratings as (8-8-0-0-0). In this case, the 4.5 rating comes from 8 5-star ratings, and 8-4-star ratings.
The idea is to help determine if a book has a high rating because of fake reviews. There are many crappy books with 4 5-star rating - presumable it is easy to get four friends to rate the book highly or just pay someone to rate it highly. This is harder to do if you have more ratings, which is the motivation for marking "**" only for books with at least 10 reviews (and rating >= 3)
From my own experience, if a book have less than 10 ratings and all of these ratings being 5-star, e.g. (8-0-0-0-0), most of the reviews are fake. Likewise, if you see mostly ratings of 5-star and 1-star, e.g. (20-2-3-4-11) that is also a likely indication of a crappy book. In this case, reviewers who bought the book due to the high rating are sufficiently annoyed by the poor quality ex-post that they go and rate the book 1-star. The good book will likely have high reviewer counts at the 5-star to 3-star range, e.g. (23-33-15-3-6). Just like in politics, it is impossible to make everything happy.
Each of the numbers also links to the book's reviewer comments.