More than "the average state of the atmosphere" because a complete climate description should also include variations and extremes to accurately portray the total character of an area
The most important elements are temperature and precipitation since they have the greatest influence on people and their activities and also have as important impact on the distribution of vegetation and the development of soils
Numerical climate model that simulates Earth's circulation, physical processes in the atmosphere, ocean, cryosphere and on land surface, to project future climate, understand past climate, and identify causes and effects
Data for climate models comes from weather balloons, satellites, airplanes, radar and other ground-based instruments measuring wind, precipitation, temperature, humidity, etc. Reliable records have been kept since the 1800s.