https://file.aiquickdraw.com/mathbot/file/1725906657528ja6qwgv6.jpg

Let's analyze the tables to determine the values for \( A \) and \( B \).

1. **Frequency Table:**
   - For \( 2 \leq x \leq 4 \), frequency is 19.
   - For \( 4 < x \leq 6 \), frequency is 5.
   - For \( 6 < x \leq 8 \), frequency is 4.
   - For \( 8 < x \leq 10 \), frequency is 2.

2. **Cumulative Frequency Table:**
   - Cumulative frequency for \( 2 \leq x \leq 4 \) is already 19, as it just starts there.
   - Cumulative frequency for \( A < x \leq B \) corresponds to the range \( 4 < x \leq 6 \). We sum the frequency of the previous interval (19) and the frequency of this interval (5), which gives:
     \[
     19 + 5 = 24.
     \]
   So, \( A = 4 \) and \( B = 6 \).

Hence, the values of \( A \) and \( B \) are:
- \( A = 4 \)
- \( B = 6 \)

Do you have any other questions, or would you like further details? 

Here are five related questions to explore:
1. What is cumulative frequency, and how is it calculated?
2. How does cumulative frequency differ from simple frequency?
3. Why is the final cumulative frequency always equal to the total number of data points?
4. What applications in real-world scenarios use cumulative frequency?
5. How can we visualize cumulative frequency using graphs?

**Tip:** Cumulative frequency can be visualized using an "Ogive" graph, which helps to show data trends over intervals.

The tables below show data about the heights of 30 walls. Use the frequency table to complete the cumulative frequency table. What values replace A and B?

Solve a cumulative frequency problem involving heights of 30 walls. The task includes filling in missing values in a cumulative frequency table using a given frequency distribution. Learn how to sum frequencies across intervals. Suitable for middle school students (Grades 6-8).

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