For a movie rating, we can have its distribution like this:
Each rating would have a percentage. Consequently, we can obtain the mean, std from this distribution.
The question is what is the value range for the
mean - std for the movie ratings?
Obivously, its bounded, and the std would be 0 for mean rating at 10. For 5.5 rating, the upper limit of std would be around 4? (given the extreme case that 50% for 10 and 50% for 1). And it should be centered around 5.5.
My questions are that:
Is there any distribution for the
mean - stdfor such distribution?
How can I obtain the value range, in Python? (I can probably obtain it through generating random values and then calculate the mean and std. but it's a little bit hard to do it from scratch.)
My simulation result: