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How about to use Translate Instances node? I added the node after a Instance on Points node, and connected a Random Value node to Translation of the Translate Instance node.

For more details, please see following figure. Example of Translate Instances node ( Input mesh is a cube with 8 vertices. )

Update

I found the other method that is to add Set Position node before Instance on Points node, and a Random Value node connects to Offset of the Set Position node.

A method of using Set Position node ( Input mesh is a cube of 8 vertices. )

I think this method is suited for many manipulations. For example, the method is easy to change point's Z-axis value according to input mesh's positions with sine function.

Other manipulation ( Input mesh is a plane, and added a modifier of Subdivision (Setting to simple and Levels Viewport is 4. )

Inspired by Youtube Video 1 and Youtube Video 2