How do inspection ratings work?

I always assumed an inspection that has 5 stars for all animals, and education, and cleanliness would be a 5-star inspection. But I just had one where everything checked out as 5 stars...but the inspecting rating itself was only 4?

Can anyone explain how they work, seeing as my assumption was obviously wrong?

Inspection..4star.jpg
 
I get it in sandbox mode too. Another thing that just started after the 1.1.1 patch is the Inspector spotting a protester every visit. I've yet to see one (since 1.1) and every animal habitat rates 5 stars. I don't understand it at all.
 
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