Film ratings: the mean and the median



Mean
Median


Mean
Median


Mean
Median

A film fans' site collects ratings of films, on a scale from 1 to 10. The graphs show seven users' ratings.

Most people enjoy "Vampires and Wizards and Stuff". "The Gun Shooter" appeals to teenage boys and nobody else. "Disappointing Sequel II" seems to be dull but bearable.

The site wants to give each film an overall score, based on all the individual ratings. There are many ways to do this.

One way to create an overall rating is to take the mean of the individual ratings (rounded to one decimal place). Another way is to take the median.

These numbers are shown and are illustrated by horizontal lines.

The eighth column is your own vote. Click in the column to place a rating from 1 to 10.

How does a change in your vote affect the mean and the median? If you think "Vampires and Wizards and Stuff" is overrated, how far can you drag down its ratings?

The company that made "Disappointing Sequel II" is paying you to boost its rating.

Do the two kinds of summary score make this equally easy?

It would be good for each film to have a controversy score as well as an overall rating.

This would distinguish love-them-or-hate-them films like "The Gun Shooter" from poor-but-not-awful films like "Disappointing Sequel II".

Which statistics would be suitable?