The box-and-whisker plot in the image displays the distribution of time in hours each student in Ellie's class is allowed to use their phone. Let's analyze the information based on the plot.

To identify each value in the data set:

1. Minimum: The left endpoint of the "whisker" represents the minimum value, which appears to be at 5 hours.
2. Quartile 1 (Q1): The left edge of the box represents the first quartile, which appears to be at 7 hours.
3. Median or Quartile 2 (Q2): The line inside the box indicates the median, which is at 9 hours.
4. Quartile 3 (Q3): The right edge of the box represents the third quartile, which is at 10 hours.
5. Maximum: The right endpoint of the "whisker" represents the maximum value, which is at 12 hours.
6. Range: The range is calculated by subtracting the minimum value from the maximum value: $12 - 5 = 7$ hours.
7. Interquartile Range (IQR): The IQR is calculated by subtracting Q1 from Q3: $10 - 7 = 3$ hours.

Summary:

• Minimum: 5 hours
• Quartile 1 (Q1): 7 hours
• Median (Q2): 9 hours
• Quartile 3 (Q3): 10 hours
• Maximum: 12 hours
• Range: 7 hours
• Interquartile Range (IQR): 3 hours

Would you like more details or have any questions?

Here are 5 questions for further exploration:

1. What does each quartile represent in terms of data distribution?
2. How does the interquartile range help identify outliers?
3. What could be inferred about student phone usage if the range were wider?
4. How would the analysis change if more extreme values (outliers) were added?
5. What additional data summary statistics could be useful with a box plot?

Tip: The interquartile range (IQR) is useful for understanding data variability, especially in identifying potential outliers beyond Q1 - 1.5 * IQR or Q3 + 1.5 * IQR.