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Barometric pressure is the pressure of the air that's pressing in all directions.
In regular weather forecasts, the meteorologists are almost always talking about the air's pressure at the ground. The air's pressure is caused by the weight of all the air above the ground pressing down - gravity pulls air toward the earth just as it pulls everything else. A barometer measures the pressure of the air pushing on it. On the average, at sea level, the air has a pressure of 14.7 pounds per square inch. This means a square one inch on each side has 14.7 pounds of air pressure on it.