https://file.aiquickdraw.com/mathbot/file/1731841957662i02uzj2f.jpg

The sample size of the data set can be determined by adding the frequencies from the histogram. Based on the image, here are the frequencies:

- 200-205: 2
- 205-210: 4
- 210-215: 8
- 215-220: 12
- 220-225: 10
- 225-230: 4
- 230-235: 2

Adding these values gives: \( 2 + 4 + 8 + 12 + 10 + 4 + 2 = 42 \).

Thus, the sample size \( n = 42 \).

Would you like a deeper dive into interpreting histograms or exploring related concepts? Here are 5 follow-up questions for your consideration:

1. How can we calculate the mean of a data set using a histogram?
2. What is the mode based on this histogram?
3. Can this data set be classified as normally distributed? Why or why not?
4. How do histograms compare to other data visualization tools?
5. What are potential outliers in this histogram?

**Tip:** When analyzing histograms, always ensure the total of frequencies matches the expected sample size for accuracy!

What is the sample size for this data set?

Learn how to calculate the sample size using a histogram's frequency data. This problem focuses on analyzing histograms, frequency distributions, and interpreting statistical data. A perfect resource for students in Grades 6-8.

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