It is mentioned that percentiles do not change on shifting and scaling of data but if the scaling is done by negative number the percentile would change.
I think scaling by a negative number doesn’t makes sense. We can shift the data by a negative number for sure though.
Can you please give an example for better understanding.
if we have a data like : [1,2,3,4,5] and we want to scale it by -1 so the data converts into :
[-1,-2,-3,-4,-5] and the 20 the percentile for first data is 1 but 20 the percentile for the converted data is -5