Obviously the scale originally described is rather meaningless and arbitrary. The scale is actually worked such that over the total population of 'eligible movies' the ratings follow a Guassian distribution with a mean of 5 and standard deviation of 1.5, where 'eligible movies' equals hollywood theatrical releases. A quick glance of the numbers below however will tell you that the mean and standard deviation of this list is not as just prescribed. This is because I have not watched every hollywood theatrical release, and with my limited viewing resources I generally choose to watch movies that I've heard are better. For the less mathematically inclined this means a movie with a score of 4 is better than at least 7% of other 'eligible movies', a rating of 5 is better than 30%, a rating of 6 is better than 69%, a rating of 7 is better than 93%, a rating of 8 is better than 99%, and a rating of 9 is better than 99.98%.
Dynamic statistics:
| rating | number |
|---|---|
| 1 | 2 |
| 2 | 16 |
| 3 | 47 |
| 4 | 141 |
| 5 | 260 |
| 6 | 256 |
| 7 | 121 |
| 8 | 24 |
| 9 | 1 |
| 10 | 0 |
| total | 868 |
|---|---|
| average | 5.326 |
| std dev | 1.264 |