Sorry, I'm not sure I understand the circumstances here.
First, I don't quite see how it's possible to "create several charts from the same table of data". Charts in Writer (the OOo word processor) can only work on data stored within the chart itself. As far as I know, it isn't possible to plot external data, or data from the text document, at all. So, I don't see how the charts could share the same table. Maybe data from the same table is entered for each chart?
The chart data in this case is only accessible when the chart itself is active (double-click on it), then (menu) View > Chart Data Table, or right-click > Chart Data Table.
AOO4/LO5 • Linux • Fedora 23