To analyze the weather patterns in City 1 and City 2 based on the range and interquartile range (IQR), we need to consider the following:
- Range: This measures the difference between the highest and lowest temperatures. A larger range indicates greater variability in temperatures.
- Interquartile Range (IQR): This measures the range of the middle 50% of the data. A smaller IQR indicates that the middle portion of the data is more clustered together, suggesting more consistency in the temperatures.
City 1:
- Range: 20°F (indicating a wider spread of temperatures)
- IQR: 4°F (indicating that the temperatures in the middle 50% are relatively close together)
City 2:
- Range: 9°F (indicating less variability than City 1)
- IQR: 4°F (same measure of consistency in the middle 50% of temperatures as City 1)
Conclusion:
City 1 has a much larger range of temperatures compared to City 2, indicating that temperatures fluctuate more widely. However, both cities have the same interquartile range (IQR), which suggests that the middle 50% of temperatures in both cities are comparable in consistency.
Given this information, we can conclude that:
B. The weather pattern in City 2 is more consistent than the weather pattern in City 1.
City 2 has a smaller range of temperatures, which suggests less variability overall, while both cities have the same IQR, indicating similar consistency in the central portion of their temperature distributions.