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Based on the box-and-whisker plots shown in the image, here are the answers to each of the questions:

(a) **Which city had a smaller range of noon temperatures?**
- **Answer: City A**  
  The range is the distance between the lowest and highest points. City A's range is smaller, as its whiskers (minimum and maximum points) are closer together compared to City B's.

(b) **Which city had a larger median noon temperature?**
- **Answer: City B**  
  The median is the line inside the box. City B's median appears to be around 80°F, while City A's median is lower, around 70°F.

(c) **Which city had noon temperatures with a larger interquartile range (IQR)?**
- **Answer: City A**  
  The IQR is the length of the box (the distance between the first quartile and third quartile). City A's IQR is larger because the box is wider compared to City B's.

(d) **Which city had the highest noon temperature?**
- **Answer: City B**  
  The highest temperature is the maximum point (the rightmost whisker). City B's maximum temperature is about 95°F, while City A's is lower, around 85°F.

Would you like more details or clarification on any part of this? Here are some related questions for further practice:

1. How do you calculate the range of a box-and-whisker plot?
2. What is the importance of the interquartile range (IQR) in data analysis?
3. How can outliers affect the interpretation of a box-and-whisker plot?
4. What other methods can be used to visualize data distributions besides box plots?
5. How can the median differ from the mean in a dataset?

**Tip:** The interquartile range (IQR) is useful for understanding the spread of the middle 50% of data, making it less sensitive to outliers than the range.

The box-and-whisker plots below summarize the noon temperatures for two cities (City A and City B). Use the plots to answer the following questions:
(a) Which city had a smaller range of noon temperatures?
(b) Which city had a larger median noon temperature?
(c) Which city had noon temperatures with a larger interquartile range (IQR)?
(d) Which city had the highest noon temperature?

Analyze box-and-whisker plots to determine range, median, interquartile range (IQR), and highest temperatures for two cities. Compare City A and City B's noon temperatures and improve statistical understanding. Suitable for students in Grades 6-8.

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