Is homosexuality normal?
Is polyamory normal?
Is transgenderism normal?
Is left-handedness normal?
Is belief in God normal?
Is death normal?
How one answers such questions will hang on how one understands the term normal. The word ‘normal’ is etymologically related to ‘norm’ and ‘normative’. A norm is a standard or rule by which something is evaluated, by which it is judged to be good or bad, right or wrong. Thus the primary meaning of normal has to do with conformance to some norm. The claim that X is normal presupposes that there are norms for X (or for whatever kind of thing X is) and X conforms to those norms. The antonym of normal is abnormal, which implies some fault or failure to meet a standard: a deviation from the norm.
Accordingly the term normal, used in this primary sense, has a normative aspect to it; it involves some kind of evaluation or value judgment. A simple example of this usage would be if someone were to say, “It’s not normal to have three ears.” Evidently the speaker is taking for granted that there’s a proper form for human anatomy and having three ears is a deviation from that norm. Put simply, human beings shouldn’t have three ears.
There is a secondary sense of the term, however, which needs to be distinguished from the first. Normal can also be used to mean usual or typical. Understood that way, it merely reflects a statistical generalization and therefore doesn’t imply any value judgment. For example, if I were to say, “A high of 70 degrees is normal for Charlotte in April,” I’m only making a claim about the average temperature (or something along those lines). There’s no right or wrong about that temperature. It’s just a statistical fact for that geographical location. My statement was merely descriptive rather than normative or evaluative.