quantum mechanics - What is meant by when we say more than two (say 4) particles are entangled

I understand the entanglement of a pair of particles which known to show three kinds of correlation - (consider the property entangled is spin)

1. 
   
   

   Anti correlation - when two particles are measured in same angle They always have opposite outcome.

   
   


2. 
   

   Statistical correlation of SQUARE of sin((A-B)/2) when two particles are measured at angles A and B.

   
   


3. 
   

   Statistical correlation of 50/50 when one particle is measured numerous times at any specific angle.

   
   

How is entanglement of say 4 particle, described in terms of correlations? Can an odd number of particles get entangled too, or it has to be always an even number?

I know about mathematical superposition. What I am looking for is can it be described in terms of correlations in a similar way as the pair entanglement is described above?, or it is too complex to describe it like that and must use mathematical equations to even describe what the measurement results are going to look like.