Can't create new folder in /media/Data

What is the output of:

mount; lsb_release -a; uname -a

Thanks

/dev/sda3 on / type ext4 (rw,errors=remount-ro)
proc on /proc type proc (rw,noexec,nosuid,nodev)
sysfs on /sys type sysfs (rw,noexec,nosuid,nodev)
none on /sys/fs/cgroup type tmpfs (rw)
none on /sys/fs/fuse/connections type fusectl (rw)
none on /sys/kernel/debug type debugfs (rw)
none on /sys/kernel/security type securityfs (rw)
udev on /dev type devtmpfs (rw,mode=0755)
devpts on /dev/pts type devpts (rw,noexec,nosuid,gid=5,mode=0620)
tmpfs on /run type tmpfs (rw,noexec,nosuid,size=10%,mode=0755)
none on /run/lock type tmpfs (rw,noexec,nosuid,nodev,size=5242880)
none on /run/shm type tmpfs (rw,nosuid,nodev)
none on /run/user type tmpfs (rw,noexec,nosuid,nodev,size=104857600,mode=0755)
none on /sys/fs/pstore type pstore (rw)
/dev/sda1 on /media/System_Reserved type fuseblk (rw,nosuid,nodev,allow_other,default_permissions,blksize=4096)
/dev/sdb1 on /media/System_Reserved_ type fuseblk (rw,nosuid,nodev,allow_other,default_permissions,blksize=4096)
/dev/sda6 on /media/localData type fuseblk (rw,nosuid,nodev,allow_other,blksize=4096)
/dev/sda2 on /media/sda2 type fuseblk (rw,nosuid,nodev,allow_other,default_permissions,blksize=4096)
binfmt_misc on /proc/sys/fs/binfmt_misc type binfmt_misc (rw,noexec,nosuid,nodev)
systemd on /sys/fs/cgroup/systemd type cgroup (rw,noexec,nosuid,nodev,none,name=systemd)
gvfsd-fuse on /run/user/1000/gvfs type fuse.gvfsd-fuse (rw,nosuid,nodev,user=userlab)
/dev/sdb2 on /media/Data type fuseblk (rw,nosuid,nodev,allow_other,default_permissions,blksize=4096)
No LSB modules are available.
Distributor ID: Ubuntu
Description: Ubuntu 14.04.2 LTS
Release: 14.04
Codename: trusty
Linux userlab 3.13.0-45-generic #74-Ubuntu SMP Tue Jan 13 19:36:28 UTC 2015 x86_64 x86_64 x86_64 GNU/Linux

ok and the output of:

sudo parted -l

Thanks

Model: ATA WDC WD10EZEX-60M (scsi)
Disk /dev/sda: 1000GB
Sector size (logical/physical): 512B/4096B
Partition Table: msdos

Number Start End Size Type File system Flags
 1 1049kB 374MB 373MB primary ntfs boot
 2 374MB 150GB 150GB primary ntfs
 3 150GB 300GB 150GB primary ext4
 4 300GB 1000GB 700GB extended
 5 300GB 301GB 1049MB logical linux-swap(v1)
 6 301GB 1000GB 699GB logical ntfs

Model: ATA ST1000DM003-9YN1 (scsi)
Disk /dev/sdb: 1000GB
Sector size (logical/physical): 512B/4096B
Partition Table: msdos

Number Start End Size Type File system Flags
 1 1049kB 106MB 105MB primary ntfs boot
 2 106MB 1000GB 1000GB primary ntfs

This is NTFS. If the NTFS is not complete and consistent then the OS will mount it read only. If you reboot back in to Windows and run a full ckdsk (will require a reboot if it is the system partition) then you will find the file system works as expected. You may also find this happens if you hibernated Windows etc.