Access Level Required: Owner, Editor.
Deleting a qualification
You can delete qualifications by pressing [Update Details] on the top right and then on the following edit page, press delete bottom right in red.
Deleting the awarding of a qualification to a person
If it's the awarding of a qualification to a person you want to delete, click on the person within the qualification, then choose edit on the award, then delete bottom right of the following page.