You need to derive from QwtPlotPicker reimplementing YourPicker::trackerText. Here you have to identify if the current position qualifies as being "over" a point and return the type of information you like.
I already answered this question several times, but unfortunately I couldn't find in which forum it was. So please search on your own, you will find a more detailed discussion and AFAIR some code snippets there.
Uwe




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