https://file.aiquickdraw.com/mathbot/file/17270956433663s5zbfnt.jpg

Let's analyze the box-and-whisker plot to answer the given questions based on the image.

1. **(a) Which city had noon temperatures with a larger interquartile range (IQR)?**
   - The interquartile range (IQR) is the distance between the first quartile (Q1) and the third quartile (Q3).
   - From the plot:
     - **City A**: The IQR is the distance between approximately 65°F (Q1) and 75°F (Q3), which gives an IQR of about 10°F.
     - **City B**: The IQR is the distance between approximately 60°F (Q1) and 85°F (Q3), giving an IQR of about 25°F.
     - **Answer**: City B had a larger IQR.

2. **(b) Which city had a larger median noon temperature?**
   - The median is represented by the line inside the box.
   - **City A**: The median appears to be about 70°F.
   - **City B**: The median appears to be around 75°F.
   - **Answer**: City B had a larger median temperature.

3. **(c) Which city had the highest noon temperature?**
   - The highest temperature is indicated by the end of the whisker on the right.
   - **City A**: The maximum temperature is around 80°F.
   - **City B**: The maximum temperature is around 95°F.
   - **Answer**: City B had the highest noon temperature.

4. **(d) Which city had more noon temperatures above 73°F?**
   - To answer this, observe the distribution of data points above 73°F.
   - **City A**: Only a small portion of the data (above the median) is over 73°F, approximately from 73°F to 80°F.
   - **City B**: A larger portion of the data is above 73°F, extending from about 73°F to 95°F.
   - **Answer**: City B had more noon temperatures above 73°F.

Would you like more details on any of these questions?

Here are five follow-up questions related to this data analysis:

1. How can you calculate the exact IQR values from a box plot?
2. Why is the median important in understanding data distribution?
3. What does a larger IQR indicate about the temperature variability in a city?
4. How do outliers, if present, affect the box plot representation?
5. Why might City B have more temperatures above 73°F?

**Tip**: When interpreting box-and-whisker plots, the whiskers represent the spread of the data, while the length of the box indicates the central spread of the data (IQR).

Using box-and-whisker plots to compare noon temperatures of two cities.

Learn how to compare noon temperatures between two cities using box-and-whisker plots. This analysis covers the interquartile range (IQR), median temperatures, and temperature distributions. Suitable for students in Grades 6-9.

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