You can equally do the thing named statistics without rigour. In fact that describes most of it. Sadly. See replication crisis, p-hacking, garden of forking dat

You can equally do the thing named statistics without rigour. In fact that describes most of it. Sadly. See replication crisis, p-hacking, garden of forking data etc. etc. etc. I'd say the overwhelming majority of university stats courses have no rigour at all and that may not be a bad thing in and of itself?