This is the 14876th most frequent Russian word.
погодного
"Погодного" means "weather-related" or "pertaining to weather" in English.
In this sentence, 'погодного' describes the term 'давления', specifying that the pressure being referred to is related to weather, i.e., atmospheric pressure.
Сегодня показатели погодного давления выше средних.
Today the values of atmospheric pressure are higher than average.
Here, 'погодного' modifies 'климата', denoting that the climate mentioned is related to weather conditions.
Я купил новый прибор для измерения погодного климата.
I bought a new device for measuring weather climate.
In this case, 'погодного' is used to qualify 'состояния', indicating that the state being discussed pertains to the weather.