Engaged users are those that have clicked anywhere on your post. Now, assuming that all 36 shares had someone click on the post once it was posted, then you have roughly 1.5 more clicks to your post per share. There's your variance of 53 people. (524 Engaged Less Reach of 471) - Assuming that NONE of those clicks came from people that like your page and initially saw the post from the pages actual feed, that is in fact how your engaged # is larger than your reach. Your post counts as having reached someone when it is loaded and shown in their news feed - So I am going to assume here that if I shared it and my friends uniquely saw it because of my share, it wouldn't count towards the calculations on your page because I was the one that introduced it to their feed - however if they clicked it, it would count towards your engaged number, because as we know, clicking on a shared photo takes you back to the original source. (side note, one of my fan pages shared the couch photo - here are the insights on it
- It brought you a whopping 4 clicks)
Virality is the number of people who have created a story from your post as a percentage of the number of people who have seen it. According to your organic number (which btw is the number of unique people, fans or non-fans, who saw this post in their news feed, ticker or on your Page) 861 people initially SAW the post, of those 36 shared. Facebook is figuring your viral number of 481 from the number of unique people who saw this post from a story published by a friend. You are correct in that there is a reach of roughly 13 people per share. BUT what Facebook doesn't include here (and can greatly affect this number) is the type of audience it was shared to -
If you have other fan pages sharing the image, perhaps they don't have a high level of engagement. We all also know that fan pages that aren't extremely consistent in posting, that don't have a large following often get filtered out of news feeds. Facebook is only sharing with fans who repeatedly return to the page, post on the page, comment on the page, or otherwise engage the page.
So while the average may be 13, there may be some shares that didn't get viewed at all, while others were seen 20-30 times, if not more. Most of my (in my opinion) under performing FB pages average about 25 views per post. I have one page that gets NO views - (and that's another discussion post entirely). I have another that averages 300-400 views per post. I think that this factor could have more weight on your reach than you realize. Also, pages with less than 30 likes aren't privy to insights. That could be weighing your reach down too.
Before stressing yourself entirely out, be sure to take that into account too.
Also, for a personal profile share - I heavily use lists and control who can see my posts because of the nature of my job. I have work lists, close friends lists, school lists, a standard friends list, etc. Typically when I post something via a list, it doesn't get a lot of traction in anyone's news feed until someone has liked or commented on the post itself. (Someone is the first to comment on something I posted 3 days ago and bam I am flooded with notifications from others within an hour about said post) Furthermore, I am noticing that based on my usage of the lists, I miss a lot of shares/updates from friends until I actually go to the designated news feed for that list. And there are certain people who's status updates I have set to "only important" or "most updates", particularly if they are guilty of regularly sharing things that have the "eww" factor. Otherwise, my standard news feed has about half of the updates from those people and pages I engage regularly.
So, my dear Brent, while I certainly love insights and numbers, and find a lot of value in them, sometimes I know when to take a "win" and run with it.
You've had a great couple of posts that got a good number of shares, comments and views. I do expect the smoke image it to get a few more over the next day or two btw - especially now that it's a discussion topic. SO, let's chalk this up to a quick lesson in insights but a bigger lesson on the importance of consistency and quality posting.