I installed Ubuntu 12.04 by doing a fresh install where there was previously Ubuntu 11.10. My computer warns me now that my disk is nearly full. After having run apt-get purge, run apt-get autoremove and emptied the Trash can, I still have this problem as shown by this screenshot of Gparted:

The disk /dev/sda7 is indeed full. I ran the Disk Usage Analyzer (Baobab) and I am still not sure of what is happening:

One of my hypothesis is that when installing Ubuntu 12.04, I didn't configure my disks well and the disk /dev/sda6 is not mounted well as /home.
Is this the reason indeed? What should I do to verify this and then to get the things fixed?
Here are a few additional details to answer the questions I received (thank you everybody):
- My home directory is not encrypted.
- The Backup utility (Déjà Dup) is not set for automatic backups. (I do it myself and manually.)
After I mount
/dev/sda6, the commanddf -hgivesFilesystem Size Used Avail Use% Mounted on /dev/sda7 244G 221G 12G 96% / udev 3,9G 4,0K 3,9G 1% /dev tmpfs 1,6G 904K 1,6G 1% /run none 5,0M 0 5,0M 0% /run/lock none 3,9G 164K 3,9G 1% /run/shm /dev/sda6 653G 189G 433G 31% /media/8ec2fa69-039b-4c52-ab1b-034d785132a1Thanks to izx's post, I realized
/dev/sda6was not even mounted before. It contains all the documents I used to have when I was running Ubuntu 11.10.