Question
199, 299, 399, 499,599 (Type integers or decimals. Do not round. Use ascending order.) Identify the class width. 100 (Type an integer or a decimal. Do not round.) Identify the class midpoints. (Type integers or decimals. Do not round. Use ascending order.)
Ask by Rodriguez Estrada. in the United States
Jan 15,2025
Real Tutor Solution
Tutor-Verified Answer
Answer
**Class Midpoints:**
149.5, 249.5, 349.5, 449.5, 549.5
Solution
Based on the provided class boundaries and the identified class width, here are the class midpoints:
**Class Boundaries:** 199, 299, 399, 499, 599
**Class Width:** 100
**Class Intervals and Midpoints:**
1. **100 - 199**
- **Midpoint:** \( \frac{100 + 199}{2} = 149.5 \)
2. **200 - 299**
- **Midpoint:** \( \frac{200 + 299}{2} = 249.5 \)
3. **300 - 399**
- **Midpoint:** \( \frac{300 + 399}{2} = 349.5 \)
4. **400 - 499**
- **Midpoint:** \( \frac{400 + 499}{2} = 449.5 \)
5. **500 - 599**
- **Midpoint:** \( \frac{500 + 599}{2} = 549.5 \)
**Class Midpoints in Ascending Order:**
- 149.5
- 249.5
- 349.5
- 449.5
- 549.5
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Explain 
Simplify this solution Bonus Knowledge
The class width is determined by subtracting the lowest value in the class from the next value. In this case, the class width is 299 - 199 = 100. Each subsequent range maintains this width, making it easy to visualize the intervals of 100 as you progress through the data set. Now, let’s find the class midpoints! The midpoint of a class is calculated by averaging the lower and upper boundaries of each class interval. For your examples, the midpoints would be 249.5 (199 + 299)/2, 349.5 (299 + 399)/2, 449.5 (399 + 499)/2, and 549.5 (499 + 599)/2. So, your class midpoints are 249.5, 349.5, 449.5, and 549.5!
