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To find the **class boundaries**, **midpoint**, and **class width** for the class interval "53-61", we can follow these steps:

1. **Class Boundaries**:
   - Class boundaries are calculated by extending the class limits slightly to avoid gaps between classes.
   - To find the boundaries, subtract 0.5 from the lower limit and add 0.5 to the upper limit.
   - For the class 53-61:
     - Lower class boundary = \( 53 - 0.5 = 52.5 \)
     - Upper class boundary = \( 61 + 0.5 = 61.5 \)
     - So, the class boundaries are **52.5 - 61.5**.

2. **Class Midpoint**:
   - The midpoint is the average of the lower and upper class limits.
   - Midpoint = \( \frac{53 + 61}{2} = \frac{114}{2} = 57 \).
   - So, the midpoint is **57**.

3. **Class Width**:
   - The class width is the difference between the upper and lower class limits.
   - Class width = \( 61 - 53 = 8 \).
   - So, the class width is **8**.

### Summary:
- **Class Boundaries**: 52.5 - 61.5
- **Midpoint**: 57
- **Class Width**: 8

Would you like any further details or have any questions about these calculations?

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Here are some related questions to consider:
1. What are class limits, and how are they different from class boundaries?
2. How would the class width change if the class interval was 53-65?
3. Why is it important to calculate class boundaries in grouped data?
4. How would you calculate the midpoint for a class interval with decimal limits (e.g., 53.5-61.5)?
5. How are these concepts used in creating histograms or frequency distributions?

**Tip:** Always calculate class boundaries when dealing with grouped data to prevent overlaps between consecutive classes.

Find class boundaries, midpoint, and width for the class 53-61.

Learn how to calculate the class boundaries, midpoint, and width for the class interval 53-61 with step-by-step solutions. This problem covers important statistical concepts, perfect for students in Grades 7-9.

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