Weighted Average and Ratings

Question

Math is not my forte, and I am in difficulty here.

Basically, all I need is a simple formula that gives a weighted rating on a scale of 1 to 5. If the votes are very small, they have less influence, and the rating print is larger on average (in this case I want it to be 3, not the average of all other ratings).

I tried several different Bayesian implementations, but they did not work. I believe that the graphic representation I'm looking for can be shown as:

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Greetings

Answer 1

I would do it this way

1*num(1) + 2*num(2) + 3*num(3) + 4*num(4) + 5*num(5) + A*3
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      num(1) + num(2) + num(3) + num(4) + num(5) + A

num (i) - i.
A - . . , " ". , A , , , 3, A , , , 3.

, 5 - " ", A = 5.

, A 3 .

, .

Answer 2

(sum(ratings) / number(ratings)) * min(number(ratings), 10)/max(number(ratings), 10)

- . 5, 10. , , , -, . , , - ( ).

Answer 3

, . , - , , ?