I've been getting confused by "discs" and "installing". One doesn't really install an OS on a DVD (although there are exceptions) one merely creates a "live DVD" which is used for installing the OS on a hard-drive or SSD.
So if I understand: You have a "Mint Live Disc" on a DVD of ~8GB which you used to install Mint onto your Dell computer that is fitted with a 20GB hard drive. OK?
And your first fdisk -l command was issued when running from the Live Disc. Yes?
And now you have just booted from your hard drive and issued the fdisk command again. Yes?
A fresh installation of Mint on your HDD ought not to occupy 14GB. Have you added any files of your own?
While running from the installed OS, please issue the following command:du -sch Documents Music Pictures | tail -n 1
and report the output.
Keith