$$ 149.5,249.5,349.5,449.5,549.5 $$ (Type integers or decimals. Do not round. Use ascending order.) Identify the class boundaries. (Type integers or decimals. Do not round. Use ascending order.)

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To identify the **class boundaries** from the given data points $$ 149.5, 249.5, 349.5, 449.5, 549.5 $$, we can follow these steps:

### Understanding Class Boundaries

**Class boundaries** are the exact points that separate classes without any gaps between them. They ensure that data is continuous and that there are no overlaps or gaps between consecutive classes.

### Given Data Points

The numbers provided are:
$$ 149.5, \, 249.5, \, 349.5, \, 449.5, \, 549.5 $$

Assuming these represent the **upper boundaries** of successive classes, we can determine the **lower boundaries** by adjusting these values to ensure continuity.

### Calculating Class Boundaries

To form continuous classes, the upper boundary of one class should be the lower boundary of the next class. This can be achieved by adding 0.5 to the upper limit of one class to get the lower boundary of the next class.

1. **First Class Boundary:**
   - Lower Boundary: $$ 149.5 $$
   - Upper Boundary: $$ 249.5 $$

2. **Second Class Boundary:**
   - Lower Boundary: $$ 249.5 $$
   - Upper Boundary: $$ 349.5 $$

3. **Third Class Boundary:**
   - Lower Boundary: $$ 349.5 $$
   - Upper Boundary: $$ 449.5 $$

4. **Fourth Class Boundary:**
   - Lower Boundary: $$ 449.5 $$
   - Upper Boundary: $$ 549.5 $$

### Final Class Boundaries

Listing all the boundaries in **ascending order**, we have:

$$ 149.5, \, 249.5, \, 349.5, \, 449.5, \, 549.5 $$

### Summary

The **class boundaries** are:
- **149.5**
- **249.5**
- **349.5**
- **449.5**
- **549.5**

These boundaries ensure that the data is grouped into continuous classes without any overlaps or gaps.

**Answer:**
149.5, 249.5, 349.5, 449.5, 549.5
The class boundaries are 149.5, 249.5, 349.5, 449.5, 549.5.

\( 149.5,249.5,349.5,449.5,549.5 \) (Type integers or decimals. Do not round. Use ascending order.) Identify the class boundaries. (Type integers or decimals. Do not round. Use ascending order.)

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