https://file.aiquickdraw.com/mathbot/file/1728872708665emtstf97.jpg

Let's analyze the box-and-whisker plot in the image to answer the questions.

### Information from the box-and-whisker plot:
- **City A**:
  - Median (middle line of the box): ~78°F
  - First Quartile (left end of the box): ~67°F
  - Third Quartile (right end of the box): ~85°F
  - Whiskers (lowest and highest values): ~59°F and ~93°F
  - **Interquartile Range (IQR)**: 85°F - 67°F = 18°F
  - **Range** (maximum - minimum): 93°F - 59°F = 34°F

- **City B**:
  - Median (middle line of the box): ~72°F
  - First Quartile (left end of the box): ~68°F
  - Third Quartile (right end of the box): ~76°F
  - Whiskers (lowest and highest values): ~62°F and ~83°F
  - **Interquartile Range (IQR)**: 76°F - 68°F = 8°F
  - **Range** (maximum - minimum): 83°F - 62°F = 21°F

### Now, let's answer the questions:

**(a) Which city had noon temperatures with a larger interquartile range (IQR)?**
- City A had an IQR of 18°F, while City B had an IQR of 8°F.
- **Answer**: City A

**(b) Which city had a larger median noon temperature?**
- City A had a median of ~78°F, while City B had a median of ~72°F.
- **Answer**: City A

**(c) Which city had the highest noon temperature?**
- City A had a highest temperature of ~93°F, while City B had a highest temperature of ~83°F.
- **Answer**: City A

**(d) Which city had a smaller range of noon temperatures?**
- City A had a range of 34°F, while City B had a range of 21°F.
- **Answer**: City B

Would you like more details or have any other questions?

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Here are 5 related questions:
1. How do you calculate the interquartile range (IQR) from a box-and-whisker plot?
2. Why is the median used as a measure of central tendency in box-and-whisker plots?
3. What does the range of temperatures tell you about the variability in the data?
4. Can you explain how outliers would affect a box-and-whisker plot?
5. How could you determine if one city's temperatures are more consistent than the other's?

**Tip**: The interquartile range (IQR) is a good measure of variability when the data is skewed, as it is not affected by extreme values or outliers.

The noon temperatures (in Fahrenheit) for two cities were recorded over a given month. Use the box-and-whisker plots to answer questions about interquartile range, median noon temperature, highest noon temperature, and range.

Learn how to interpret box-and-whisker plots to analyze noon temperatures for two cities over a month. This example covers concepts like interquartile range, median, range, and maximum values. Suitable for middle school students studying statistics.

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