There is one interpretation that has the roots of the right answer and that is the Consistent Histories interpretation. As explained this is a generalization of the Copenhagen Interpretation and removes what many people refer to as the "measurement problem" and replaces the classical notion of measurement, where a classical "apparatus" causes a wave function collapse of a quantum system, with a process called "decoherence".
In this interpretation the wave function never "collapses", however certain states, called "pointer states", which is an allusion to the idea of a needle of a gauge pointing to a particular value, begin to be preferred by the system. These pointer states are analogous to classical states (although they are arguably not equivalent in order to remain consistent with the notion that classical states are effectively a pure fiction in quantum mechanics).
The key conceptual leap is to understand the classical "apparatus" (e.g. measuring device) is really another quantum system where there is sufficient convolution (for lack of a better word) with the environment so it has become more entangled with the environment and has "decohered more" relative to the nearly pure quantum system that is to be "observed".
One of the key concepts to explore and understand further in this context is that of "separability" which is a measure of entanglement between states, particularly "pure states" (or nearly pure mixed states) which are maximally entangled internally but are independent (separable) of other pure states.
This interpretative approach is arguably the most correct, and also lends itself to the idea of mutual exclusive outcomes, where an outcome of an observation must be consistent and definite with respect to a particular pointer position, meaning the pointer of a compass can point north OR east but not north AND east when its observed with respect to the system, although prior to observation, its probability amplitude can evolve in an entangled state where there is a complex phase of north superposed with east...this miracle is achieved mathematically by using complex numbers and their conjugates and enforcing conditions of orthogonality (or more specifically orthonormality) and unitarity.