This excerpt from the BOM explains a little more about the effect of the barometer
Barometric pressure. Tidal predictions are computed for average barometric pressure. A difference of 10 hectopascals (hPa) from the average can cause a difference in sea level of about 0.1m. This depression of the water surface under high atmospheric pressure, and its elevation under low atmospheric pressure, is often described as the inverted barometer effect. The water level does not adjust itself immediately to a change of pressure and it responds moreover to the average change in pressure over a considerable area. The average barometric pressure and information, in some instances, concerning changes in level which can be expected under different conditions for certain places, is given in Sailing Directions. Changes in sea level due to barometric pressure seldom exceed 0.3m but their effect can be important as they are usually associated with those caused by wind set-up since winds are driven by the pressure gradient.