https://file.aiquickdraw.com/mathbot/file/1730010033973qfqo42eq.jpg

https://file.aiquickdraw.com/mathbot/file/1730010033974l0n73n8s.jpg

https://file.aiquickdraw.com/mathbot/file/1730010033974xcl5vwld.jpg

To determine which histogram correctly represents the data from the frequency distribution table, let’s examine each bar in the histograms for alignment with the frequencies given in the table.

### Table Data Summary:
- **30–34 months:** Frequency = 10
- **35–39 months:** Frequency = 9
- **40–44 months:** Frequency = 6
- **45–49 months:** Frequency = 3
- **50–54 months:** Frequency = 2

### Evaluating the Histogram Options:
- **Option 1:** The bars appear to correspond as follows:
  - 30–34: 10
  - 35–39: 9
  - 40–44: 6
  - 45–49: 3
  - 50–54: 2
  
  This option matches the given frequencies.

- **Option 2:** This option does not match; the frequency for 30–34 is not 10.

- **Option 3:** This option does not match; it appears to have incorrect frequencies for 35–39 and 40–44.

- **Option 4:** This also doesn’t match; it has incorrect frequencies across multiple ranges.

### Conclusion:
**Option 1** is the correct histogram, as it accurately reflects the data from the frequency distribution table.

Would you like a deeper analysis or further clarification on histograms? 

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### Follow-Up Questions:
1. What is the purpose of a histogram in data analysis?
2. How do histograms differ from bar charts?
3. Why is it important to correctly interpret frequency distribution tables?
4. How do the shapes of histograms help in understanding data distributions?
5. What are some common errors when interpreting histograms?

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**Tip:** In histograms, ensure each bar’s height accurately represents its frequency for correct data representation.

Which of the following histogram correctly displays the information in the table?

Analyze which histogram accurately represents data on ages (in months) of children enrolled in preschool. This data analysis question involves understanding frequency distribution tables and histograms, suitable for students in Grades 6-8.

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