What differences exist in voting, ratings, evaluations?

Question

Mathematics

Greetings
I do not know what tag to fix my question at all, but it is.
Many of you are familiar with the rating of any object based on ratings, for example, "from 1 to 10", "yes or no". An example from a movie search site for a substantive discussion:

People rate a movie by clicking on the stars (from 1 to 10) and the result is an average (sum of ratings / number of ratings). And if, instead of a ten-point rating, only two options are placed on the site:
— I liked it
— I didn’t like it
Would you get about the same rating with a large number of votes (liked / total number of votes * 10)?

Answer 1

Let's define what a yes/no score means. Let this be the percentage of all votes. Those. yes = 80% means that every eighth person votes yes.
Now let's define what a score on a 10-point scale means. Let each ball be the percentage of all votes. Those. 8/10 = 20% means that one in five puts eight points.
Let the scale be folded in half, where 1-5=no, 6-10=yes. Then it is easy to show that the estimates coincide.

Answer 2

google
median and arithmetic mean