The common noise on the antenna line is either on the outside of the coax screening, or via the unbalanced currents on a two wire line.
The common mode carries the noise from your house to your antenna. If the line is exactly at mid-distance between the arms of a dipole, for at least a quarter wave or more, then the induced currents in the arms of the dipole are nulling one another. The arms of the dipole need to be of exact equal length and placed at equal height above the ground to ensure the best balance. If there is any unbalance, then a part of the noise is carried back by the line (yes even inside the coax) in balanced form, back to your receiver. Of course, the OCF dipole is a VERY bad idea, and the EFW is the worst !
The noise in your house is your own noise, from your own sources, including the receiver itself, any connected device, any device connected to any wire around, and of course the noise from all the neighborhood can come trough the power, phone and CATV lines up to your own house.
Of course, don't forget that all that mess of wire is an antenna by itself, above a ground connection. The same for all your neighbors. The common mode on an antenna line is also an antenna above a ground return. Something must be done on the receiver/home end of the line to get rid of the common mode.
My own choice is for balanced lines, with a balanced antenna tuner. On the antenna side, the circuit is a tank, variable capacitor in parallel with a taped coil, and as this is not screened, the coil is in two parts placed head to foot (with the switch between the two coil parts). I even tried a balanced probe to pick up the signal towards the receiver, but that was never better than a single probe to either side of the coil. As the characteristic impedance of the line does not matter (in a tuned doublet antenna system), a part can be twisted or closely paralled and coiled in a ferrite ring, as a common mode choke.
Of course, your choice can be a coax line, preferably a buried line, with ground connections just below the center of the dipole and at the house wall. Not practical here, so I choosed the other way.
As a secondary benefit, a balanced antenna design with horizontal arms is quite inefficient on medium wave signals (or any noise in the lower frequencies), helping the receiver work. No MW stations nearby here, but that may be useful in many US cities with the suburbs mushrooming around medium wave (AM) transmitter sites.
About the doublet antenna : that antenna is also called Levy antenna. In the US, that antenna largely mis-understood, and often misnamed as double Zepp antenna. But the length of the arms can be any length and the tuning is at hand on the ATU near the RX. See "Practical Wire Antenna 2" edited by Ian Poole, published by RSGB.