I don't think an anecdote against an average makes sense. For example, lets say a study finds Tylenol reduces fevers, an anecdote of 'it never did for me or my

I don't think an anecdote against an average makes sense. For example, lets say a study finds Tylenol reduces fevers, an anecdote of 'it never did for me or my friends and family' is somewhat of a relevant anectode because that would be very unlikely if the study was true. Now lets say a study finds 'the average height in 5th grade is 5ft 4in'. And someone responds 'I am in 5th grade and I am only 5ft, the study is a screed and maliciously motivated'. That isn't a relevant anecdote because of how averages work. Just like your anecdote here.