Is there a widget that can be configured to display how the average number of bugs per task/story we have for each of my projects over the last x amount of days?
If this is possible, but for only 1 project at a time, no big deal for me to implement multiple instances of a widget that can provide the data needed.
Apart from the standard gadgets that are offered by JIRA by default (https://confluence.atlassian.com/display/JIRA/Using+Dashboard+Gadgets), most likely you will have to look into the possibility of developing your own gadget. The following link might be able to help you out on this:
If you do not have the resources, you can also seek assistance from the following alternatives:
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