Likes and shares are misleading when you are talking about page view stats. Your followers and anyone with a WordPress.com blog who is logged into WordPress.com can "like" and "share" your posts in several locations such as the Reader without ever clicking into your blog and creating a page view stat.
I choose to reduce my RSS Feed to "summary" here > Settings > Reading
For each article in a feed, show
Doing that compels followers to click in and read the full post on my blogs.
WordPress.com stats are not real time stats. that means they take time to update. Also as I posted above one does not need to click into your blog and create a page view stat to click a like button.
Why don’t post/page views add up to total views?
Post/page views are included in total views, but there are many views to your site that are not a post or page URL. The front pages, category/tag/date/author archives, and searches are all examples of other views that only count towards total views. http://en.support.wordpress.com/stats/#additional-info