Final answer:
The range of the data, which is the difference between the highest and lowest temperature, remains at 48° after adding the new value, since 80.8° falls within the existing range.
Step-by-step explanation:
To determine how the range of the data changes when a new value is added, we need to first identify the current range by finding the difference between the highest and lowest data points. In the given dataset of average high temperatures in degrees for a city, the highest temperature is 105° and the lowest is 57°. The range, therefore, is 105 − 57 = 48°.
When the new value of 80.8° is added to this dataset, it falls within the existing range and does not affect the lowest or highest temperatures. Therefore, the new highest and lowest temperatures remain unchanged, and the range remains at 48°.
So the correct answer is: The range stays 48°.