https://file.aiquickdraw.com/mathbot/file/1730089089332ipd4ts4n.docx

To create a frequency distribution table from the given data set of heights, we will:

1. **Define appropriate intervals** to capture the range of data.
2. **Count the frequency** of heights that fall within each interval.

### Step 1: Data Analysis
- **Range of Heights**: The smallest height is 145 cm, and the largest is 167 cm.
- **Suggested Intervals**: Using 5 cm intervals would provide clear groupings.

### Step 2: Frequency Distribution Table

| Height Interval (cm) | Frequency |
|-----------------------|-----------|
| 145 - 149            | 7         |
| 150 - 154            | 10        |
| 155 - 159            | 13        |
| 160 - 164            | 12        |
| 165 - 169            | 3         |

This table provides a summarized view of the distribution of heights across specified intervals. Let me know if you'd like detailed calculations or further analysis.

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**Related Questions:**
1. How is the range of a dataset calculated?
2. What are some other ways to determine interval sizes?
3. How can cumulative frequency be used in a distribution table?
4. Why might different intervals produce different insights?
5. How can this frequency table be used to calculate the mean or median?

**Tip:** Organizing data into intervals is particularly helpful for visualizing distributions and identifying patterns.

Solve the following data using the frequency distribution table with the given height dataset.

Learn to create a frequency distribution table from a given dataset of heights. This problem includes organizing data into intervals, counting frequencies, and summarizing height distributions across specified intervals. Suitable for students in Grades 7-10.

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