The noon temperatures (in Fahrenheit) for two cities were recorded over a given month.

The box-and-whisker plots below (sometimes called boxplots) summarize the noon temperatures for each city.

Use the box-and-whisker plots to answer the questions.

City A

City B

55

60

65

70

80

85

Noon temperature in Fahrenheit)

90

95

(a) Which city had the highest noon temperature?

'Choose one'

(b) Which city had a larger median noon temperature?

'Choose one'

(c) Which city had noon temperatures with a larger interquartile range (IQR)?

'Choose one'

(d) Which city had more noon temperatures above 83 °F?

'Choose one'

Let's analyze the box-and-whisker plots for both cities to answer the questions. Since I cannot see the actual plots, I’ll guide you through how to answer each question based on how box-and-whisker plots work. Here are the steps for each question:

### (a) **Which city had the highest noon temperature?**

- **Answering process:** The highest noon temperature is represented by the farthest right "whisker" in the plot, which extends to the maximum value. Compare the far-right end of the whiskers for both City A and City B.

- **Choose one:** The city whose whisker extends to the higher value is the one with the highest temperature.

### (b) **Which city had a larger median noon temperature?**

- **Answering process:** The median is the middle line inside the box. Look at the line inside the box for both cities and see which one is positioned further to the right on the number line.

- **Choose one:** The city with the line (median) closer to the right has the larger median noon temperature.

### (c) **Which city had noon temperatures with a larger interquartile range (IQR)?**

- **Answering process:** The IQR is the range between the lower quartile (left side of the box) and the upper quartile (right side of the box). Measure the width of the box for both City A and City B.

- **Choose one:** The city with the wider box has a larger IQR.

### (d) **Which city had more noon temperatures above 83 °F?**

- **Answering process:** For this, check where 83°F lies on the box plot. You need to see how much of the data (the box and whiskers) falls to the right of 83°F. 

- **Choose one:** The city with more of its data to the right of 83°F will have more noon temperatures above 83°F.

Let me know if you'd like a detailed explanation of any specific step or have further questions!

### Expanding with relative questions:
1. What is the significance of the median in a box-and-whisker plot?
2. How is the interquartile range (IQR) calculated, and why is it useful?
3. What do the whiskers in a box-and-whisker plot represent?
4. How can we compare the spread of temperatures between two cities using these plots?
5. What does it mean if a city has a larger IQR compared to another?

### Tip:
Remember, the box in a box-and-whisker plot contains 50% of the data, and each whisker extends to capture the remaining 25% at either end.

The noon temperatures (in Fahrenheit) for two cities were recorded over a given month. The box-and-whisker plots below summarize the noon temperatures for each city. Use the box-and-whisker plots to answer the questions: (a) Which city had the highest noon temperature? (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 more noon temperatures above 83 °F?

Learn how to interpret box-and-whisker plots to compare noon temperatures between two cities. This problem focuses on statistical concepts such as median, interquartile range (IQR), and maximum temperatures. Suitable for students in Grades 6-8.

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