The back wall for a web material dispenser having first and second web material support arms configured to support a web material supply. The back wall includes a fastening portion configured to mount the back wall to a supporting surface; a first support arm portion for the first web material support arm to be mounted thereto; and a weakness-providing junction at least partially circumscribing the first support arm portion from the fastening portion for the first support arm portion to be tiltable with respect to the fastening portion. Also, a web material dispenser including such a back wall and a method for securing a web material dispenser to a supporting surface.