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.