You will need the Limited Write People permission to perform this action.
To delete a family member, navigate to any member within the family which contains the person you would like to remove. Then click on the "Family" tab.
Next, click on the drop down menu of the person you would like to remove and select "Remove from family"
A confirmation message will appear. Click on "Yes" to remove the person from the family.
This only removes the person from the family. It will not delete their profile from the system.
You cannot remove the head of household from a family. You would first need to make someone else the head of household and then remove them.