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### Best Answer TR Smith says

Step 1: Worst case scenario, the product is rated 2.5/5 and displaying a 3/5. If the average rating is 2.5 stars and there are 146 votes, then the total number of stars is 2.5*146 = 365.

Step 2: You only need to get the internal average rating up to 3.5 in order for the site to display 4/5 stars.

Step 3: What we want to find is the number of 5 star votes, N, so that (365 + 5N)/(146 + N) = 3.5. That is, the total number of stars divided by the total number of votes equals an average of 3.5 stars.

Step 4: Simplifying the equation (365 + 5N)/(146 + N) = 3.5 gives you 146 = 1.5N. Solving this equation gives you N = 97.333.

So worst case scenario you would need 98 new reviews giving the product 5/5 stars.

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If the internal rating is higher, then you need fewer votes. For instance, if the internal rating was 3.4 stars and you wanted to bump it up to 3.5, then the equation you solve is

(3.4*146 + 5N)/(146 + N) = 3.5

which gives you N = 9.733, so you would only need 10 votes of 5/5 stars.