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Calculating set ratings

As you will no doubt be aware, Brickset members can review sets and give them a score out of five. These scores are aggregated to give sets an overall rating which are shown as stars in the set listings.

A few years ago I added the ability to rate sets without needing to review them, but they were not taken into account when calculating set ratings.

Mr_Thrawn made the suggestion that they should be, and I agree with that, particularly as there are now almost 1 million ratings in the database, but just 36,000 reviews. We should therefore get more representative figures by doing so, and for more sets. So, your set ratings are now taken into account.

However, there's a problem, and it's not one that's just been introduced by the change: more than three-quarters of all sets have a rating of between 3 and 4, which isn't particularly helpful.

So, I wondered whether any statisticians reading this might be able to help find a solution, and also help answer a question: should a set with 1 rating of five have the same overall rating as one that has 100 ratings of five?

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