An alternative to cegaton's answer is to make links to another object in the scene. To do this, also make sure that your points are separate objects and that they all have their origins at their center (select all of the points and run CtrlAltShift + C > Origin To Geometry).
Next, with all the points selected, select the object you want to replace them with (make sure this is the last object selected) and run Ctrl + L > Object Data. Now all instances are linked to the one main object so you can jump into edit mode and scale or transform it as desired and it update all the others.
If for any reason after, you need them as unique objects again, select them all and press U > Object & Data.