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The data represents the shoe sizes of 19 students in a fifth-grade physical education class:  
4, 5, 5, 5, 6, 6, 6, 7, 7, 7, 7, 7.5, 7.5, 8, 8, 8.5, 8.5, 9, 9.

### To create a box plot, follow these steps:

1. **Order the data** (already sorted):  
   4, 5, 5, 5, 6, 6, 6, 7, 7, 7, 7, 7.5, 7.5, 8, 8, 8.5, 8.5, 9, 9.

2. **Find the five-number summary**:  
   - **Minimum**: 4  
   - **First quartile (Q1)**: The 5th value = 6  
   - **Median (Q2)**: The middle value in the data set (10th value) = 7  
   - **Third quartile (Q3)**: The 15th value = 8  
   - **Maximum**: 9

3. **Calculate the interquartile range (IQR)**:  
   IQR = Q3 - Q1 = 8 - 6 = 2

4. **Create the box plot**:  
   - Draw a number line that includes the minimum and maximum values (4 to 9).  
   - Mark the five-number summary points on the number line (4, 6, 7, 8, and 9).  
   - Draw a box from Q1 (6) to Q3 (8), and inside the box, draw a line at the median (7).  
   - Extend "whiskers" from the box to the minimum (4) and maximum (9) values.

If you want, I can also generate a visual box plot for you.

Would you like more details on any part? Here are some questions for further exploration:

1. How do you determine outliers when constructing a box plot?
2. Why is the interquartile range important in summarizing data?
3. What is the significance of the median in a box plot?
4. How do you interpret skewness in a box plot?
5. Can you compare two box plots effectively? What would you look for?

**Tip:** When reading a box plot, focus on the spread of the data and the range between quartiles to understand variability.

The data set represents the shoe sizes of 19 students in a fifth-grade physical education class: 4, 5, 5, 5, 6, 6, 6, 7, 7, 7, 7, 7.5, 7.5, 8, 8, 8.5, 8.5, 9, 9. Create a box plot to represent the distribution of this data.

Learn how to create a box plot representing the shoe sizes of 19 fifth-grade students. Understand the five-number summary, calculate the interquartile range (IQR), and visualize the data distribution with a box plot. This problem introduces key concepts in data representation for Grade 5 students.

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