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Looking at the boxplot comparing **Group A** and **Group B** based on shopping time, I can help answer the questions provided in the table. Here's the analysis for each:

1. **Which group has the smallest range?**
   - **Group B** has the smallest range. The range is calculated by subtracting the smallest value from the largest value. Group B has data spread approximately from 40 to 60 minutes, giving a range of about 20 minutes. Group A’s range is from about 30 to 70 minutes, which is 40 minutes.

2. **Which group has the greatest median?**
   - **Group A** has the greatest median. The median is indicated by the line inside the box. For Group A, the median is around 55 minutes, whereas for Group B, it is around 50 minutes.

3. **Which group has a wider spread in the middle 50% of their data?**
   - **Group A** has a wider spread in the middle 50% of the data. This spread is represented by the length of the box, which measures the Interquartile Range (IQR). Group A’s box is wider than Group B’s, meaning a greater spread of the middle 50% of the data.

4. **Which group has the greatest IQR?**
   - Again, **Group A** has the greatest IQR (Interquartile Range). The IQR represents the range between the first quartile (Q1) and the third quartile (Q3), and Group A’s IQR is visually larger compared to Group B.

Let me know if you would like further details or clarifications.

### Follow-up Questions:
1. How is the interquartile range (IQR) mathematically calculated?
2. Why is the median an important measure of central tendency in a boxplot?
3. How do outliers affect the range and interpretation of boxplots?
4. Can you explain why Group B might have a smaller range but the same median as Group A?
5. What other statistical measures can be derived from a boxplot?

### Tip:
In a boxplot, the whiskers (the lines extending from the box) represent the spread of the data, but they can sometimes hide outliers if those aren't plotted separately.

Compare Group A and Group B based on their shopping times and answer questions about range, median, IQR, and spread.

Explore a boxplot comparison of Group A and Group B based on shopping times. Learn how to calculate range, median, and IQR (Interquartile Range), and understand data spread in the context of these groups. Suitable for Grades 6-8.

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