How to randomise vertex position along an axis In Edit Mode I click on Randomize under Mesh Tools to randomise the position of vertices on a mesh:



What I've noticed is that this randomises the position on all axes. Is there any way to do the same randomisation of vertices but constraining it to one or more axes (locally or globally)? A mockup of the desired output is shown below in which the vertices are randomised along the global x axis.
You can use Proportional Editing set to a random falloff.

Basically, select the vertices you want affected, press Ctrl + I, to invert the selection, and then H to hide those vertices. Now, select a vertex of the ones left, press O, to turn Proportional Editing on, and, in the 3D view header, set the falloff to random:



Then, press G, to move, followed by one of X, Y or Z, either once or twice, to limit to the axis you want. Now, use the scroll wheel to enlarge the affected area so that all the vertices are affected and move the mouse until you get the results you want.
Then, press  Alt + H to show all hidden vertices again.