Climate vs. Weather
Those averaged weather values then become to represent the climatic normal weather for that day. From the National Centers for Environmental Information (NCEI, formally NCDC), "the climatic normal is simply the arithmetic average of the values over a 30-year period (generally, three consecutive decades)."
The current set of climate normals is based upon observed weather in the years of 1981 to 2010. in 2021, a new set of climate normals will be generated based upon the observed weather between 1991 and 2020.
Climatic normals (or averages) are most commonly seen on local weather broadcasts. The daily observed maximum and minimum temperatures is often compared to the "normal" temperatures based upon the 30-year average.
Also, these climatic normals help provide context if you hear something like "this winter will be wetter (or drier, or colder, or warmer, etc.) than normal. Other phrases such as "unseasonably warm (or cool)" weather is a comparison of the current weather conditions as related to the "climatic normal" for that time.
It has been said "Climate is what you expect. Weather is what you get." In part, that is true but for the vast majority of time, the observed weather rarely "normal".
A good example is the all-time record rainfall for the Dallas/Fort worth Airport in 2015. Climate normal for rainfall is 36.14" (918 mm). The actual rainfall for the year was 62.61" (1,590 mm). In only three months (May, October and November) nearly a "normal" year's worth of rain fell.
The annual rainfall for 2015 broke the old all-time record by over 9" (229 mm). This was truly an extraordinary rain record that will stand for tens of decades if not centuries.
2015 was a "roller coaster" year for the occurrence of rainfall in the DFW area as well. That same year, there was a stretch of 41 consecutive days with NO precipitation, which was the third longest number of rain-free days on record.
Even individual days can have a wide variety of weather yet appear to be near climatologically normal. Again at the Dallas/Fort worth Airport on November 27, 2015, the average of the maximum and minimum temperature was 55°F (13°C). The normal for that day is 52°F (11°C). So at first glance it would have appeared to be a "near normal" day temperature-wise.
The maximum temperature was 70°F (21°C) but occurred around 3 AM in the morning. The a strong cold front moved past Fort Worth and Dallas early that morning and the temperature began to fall.
The minimum temperature on was 39°F (4°C) and occurred just prior to midnight. So, the average temperature was near normal climate-wise when that day was quite different weather-wise.
So, large swings in day-to-day, month-to month and even year-to year weather does not necessarily imply large, rapid changes in climate. Weather, over time, will become part of the 30-year normal.