Cold, showery and foggy are all words that describe the weather, right?

Yes.

Cold, cold, showers, and fog are all words that describe the weather. There are other words that describe the weather, such as hot, warm, cold, warm spring, blooming flowers, cold weather, etc.

Weather refers to the atmospheric state that is constantly changing. It is not only the atmospheric state within a certain time and space, but also the continuous change of the atmospheric state within a certain time interval. Therefore, it can be understood as a collective name for weather phenomena and weather processes. Weather phenomena refer to various natural phenomena that occur in the atmosphere, that is, the comprehensive expression of the spatial distribution of various meteorological elements in the atmosphere at a certain instant.