Which one of these is not correct when it comes to being an outlier?

Question

A.) The largest and smallest value in a sample are always outliers  or

B.) Sometimes the median value can be an outlier   

Just thinking if the plots are 1, 1, 1, 1, 1, Then technically these plots are the largest and smallest so that would make (A) correct but I was always taught that the median is not affected by the outlier so how can the median be the outlier. Right?   Thank you

Answer 1

B is not correct, because the median always represents the central value so can never be an outlier, according to the definition of an outlier. However, the reverse can be true: an outlier can have the same value as the median in special cases like the example you gave. A rose is a flower but not all flowers are roses.