https://file.aiquickdraw.com/mathbot/file/17261995803989pg3mcd7.jpg

​(a) What is the class​ width? How many classes are represented in the​ graph?
The class width is 
  
enter your response here.
​(Type a whole​ number.)
Part 2
There are 
  
enter your response here classes represented in the graph.
​(Type a whole​ number.)
Part 3
​(b) What is the midpoint of the second ​class? What are the lower and upper limits of the second ​class? Assume the lower and upper class limits are whole numbers.
The midpoint of the second class is 
  
enter your response here.
​(Type a whole​ number.)
Part 4
The lower limit of the second class is 
  
enter your response here. The upper limit of the second class is 
  
enter your response here.
​(Type whole​ numbers.)
Part 5
​(c) What is the midpoint of the next to last ​class? What are the lower and upper limits of the next to last ​class? Assume the lower and upper class limits are whole numbers.
The midpoint of the next to last class is 
  
enter your response here.
​(Type a whole​ number.)
Part 6
The lower limit of the next to last class is 
  
enter your response here. The upper limit of the next to last class is 
  
enter your response here.
​(Type whole​ numbers.)
Part 7
​(d) Which age group has the highest​ population?
30 dash 39
30dash39
90dash99
40 dash 49
40dash49
10dash19
Part 8
​(e) Which age group has the lowest​ population?
90dash99
0dash9
80dash89
30 dash 39
30dash39
Part 9
​(f) Which age group has 38 ​million?
40 dash 49
40dash49
50 dash 59
50dash59
30 dash 39
30dash39
60 dash 69
60dash69


Let's break down the graph and solve the individual parts of your question.

### Part (a) - Class Width & Number of Classes:
1. **Class Width**: To calculate the class width, we find the difference between two consecutive lower class limits (or upper class limits). By observing the horizontal axis (age), we can see that the class intervals are divided into 10-year ranges.

   **Class Width** = \(10\)

2. **Number of Classes**: The age range is approximately from -5 to 105. Using this information, the number of classes is:

   \[
   \text{Number of Classes} = \frac{105 - (-5)}{10} = \frac{110}{10} = 11 \text{ classes}
   \]

### Part (b) - Midpoint, Lower, and Upper Limits of the Second Class:
1. **Midpoint of the Second Class**: The second class is from 0 to 9 years. The midpoint is calculated as:

   \[
   \text{Midpoint} = \frac{\text{Lower Limit} + \text{Upper Limit}}{2} = \frac{0 + 9}{2} = 4.5 \approx 5
   \]

2. **Lower and Upper Limits of the Second Class**: The lower limit is 0, and the upper limit is 9.

   - **Lower Limit**: \(0\)
   - **Upper Limit**: \(9\)

### Part (c) - Midpoint, Lower, and Upper Limits of the Next-to-Last Class:
1. **Midpoint of the Next-to-Last Class**: The next-to-last class is from 80 to 89 years. The midpoint is:

   \[
   \text{Midpoint} = \frac{\text{Lower Limit} + \text{Upper Limit}}{2} = \frac{80 + 89}{2} = 84.5 \approx 85
   \]

2. **Lower and Upper Limits of the Next-to-Last Class**: The lower limit is 80, and the upper limit is 89.

   - **Lower Limit**: \(80\)
   - **Upper Limit**: \(89\)

### Part (d) - Age Group with the Highest Population:
By examining the graph, we can see that the age group with the highest frequency is 40–49, as it has the tallest bar.

   - **Answer**: 40–49

### Part (e) - Age Group with the Lowest Population:
The lowest population appears in the age group 100–109, as it has the smallest bar.

   - **Answer**: 100–109

### Part (f) - Age Group with 38 Million:
By checking the graph for the bar that corresponds to 38 million, it appears to be the 40–49 age group.

   - **Answer**: 40–49

---

Would you like more details on any specific part? Here are a few related questions to deepen your understanding:

1. How would the number of classes change if the class width was reduced to 5 years?
2. Can you explain how the midpoint of a class represents the average of that class range?
3. Why do we approximate midpoints to whole numbers?
4. How does the shape of the graph reflect trends in population distribution?
5. What other statistical information can be inferred from this type of frequency distribution graph?

**Tip**: When reading a frequency distribution graph, always check the axes carefully to understand how the data is distributed across different categories or intervals.

(a) What is the class width? How many classes are represented in the​ graph? (b) What is the midpoint of the second class? What are the lower and upper limits of the second class? (c) What is the midpoint of the next to last class? What are the lower and upper limits of the next to last class? (d) Which age group has the highest population? (e) Which age group has the lowest population? (f) Which age group has 38 million?

Learn how to analyze a frequency distribution graph representing age groups. This includes determining class width, number of classes, calculating midpoints, and identifying population trends. Suitable for Grades 7-9.

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