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Let's analyze the provided box-and-whisker plots and address each question based on the graphical dataLet's analyze the provided box-and-whisker plots and address each question based on the graphical 

### Box-and-Whisker Plots Interpretation:
- **City A**:
  - Median (middle line of the box) is around 80°F.
  - Interquartile Range (IQR), the distance between the lower (Q1) and upper quartiles (Q3), is approximately from 70°F to 90°F, so the IQR is 20°F.
  - The maximum temperature is about 95°F, and the minimum is around 60°F.
  
- **City B**:
  - Median is around 75°F.
  - The IQR is from 70°F to 80°F, so the IQR is 10°F.
  - Maximum temperature is around 85°F, and the minimum is approximately 65°F.

### Answering the Questions:

1. **(a) Which city had noon temperatures with a larger interquartile range (IQR)?**
   - **City A** has a larger IQR (20°F) compared to City B's IQR (10°F).
   
2. **(b) Which city had a larger median noon temperature?**
   - **City A** has a larger median (80°F) compared to City B (75°F).

3. **(c) Which city had more noon temperatures above 77°F?**
   - **City A** has more noon temperatures above 77°F because its median and IQR are higher, and half of its temperatures are above 80°F. In contrast, City B's median is lower, so fewer temperatures exceed 77°F.

4. **(d) Which city had the highest noon temperature?**
   - **City A** has the highest noon temperature at 95°F, while City B's maximum is around 85°F.

Let me know if you need more details or have any questions!

### Five Related Questions:
1. What does the median represent in a box-and-whisker plot?
2. How do you calculate the interquartile range (IQR)?
3. What are the main components of a box-and-whisker plot?
4. How can you interpret outliers using a box-and-whisker plot?
5. How does the IQR help in understanding temperature variability?

### Tip:
In box-and-whisker plots, the length of the box indicates the spread of the central 50% of data, making it easy to compare variability between datasets.

The noon temperatures (in Fahrenheit) for two cities were recorded over a given month. The box-and-whisker plots summarize the noon temperatures for each city. Based on the plots, answer the following questions: (a) Which city had noon temperatures with a larger interquartile range (IQR)? (b) Which city had a larger median noon temperature? (c) Which city had more noon temperatures above 77°F? (d) Which city had the highest noon temperature?

Learn how to interpret box-and-whisker plots by comparing noon temperatures for two cities. This problem covers key statistical concepts like the interquartile range (IQR), median, and how to compare data distributions. Suitable for students in Grades 6-8.

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