I believe Dell Data Wipe works similar as CLEAN ALL from Disk Part.  It wiped everything on the drive. Some alternative preference, if you are going to give it to relatives, someone you know, Dell Data Wipe should be sufficient.  If you are going to give it to charity or not a well known person, just give the laptop without hard drive.  Take HDD out and dented it with a hammer before discard it.  That should give you peace of mind.
I wanted to wipe my laptop so I can give it away, I was going to use DBAN but I couldn't get it to work, I saw Dell had a Data Wipe in BIOS and thought I'd try it anyway it wiped everything and now there's nothing on it and it says no HDD detected in  BIOS. Is all my information gone or if the HDD gets re-enabled will everything come back? I don't want to give this laptop away if it still has my stuff on it. 
Dell Data Wipe - Hard drive gone Is everything gone then?