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The image contains a table of ages collected from 50 customers as part of a task to construct a grouped frequency distribution. Here’s a simplified process to create a grouped frequency distribution:

### Steps to Create a Grouped Frequency Distribution:

1. **Identify the Range of Data:**
   - The minimum age is **18**, and the maximum age is **77**.
   - The range = 77 - 18 = **59**.

2. **Choose Class Intervals:**
   - Divide the range into equal-sized intervals. For simplicity, let’s use class intervals of **10** (e.g., 18-27, 28-37, etc.).

3. **Construct the Table:**
   Create columns for:
   - **Class Intervals** (e.g., 18-27, 28-37, etc.)
   - **Frequencies** (Count how many ages fall within each interval)
   - **Midpoints** (Class mark for each interval)

4. **Calculate the Frequencies:**
   For each class interval, count the number of data points that fall within the range.

Let me know if you need help creating the full table with the exact frequencies or if you'd like more details on this process!

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Would you like to dive deeper into any part of this, or should I calculate the full table for you? Here are some questions to explore further:

1. How do you calculate the midpoint for each class?
2. What are the best practices for determining the number of class intervals?
3. How do you interpret grouped frequency distributions?
4. What are cumulative frequencies, and how do they relate to this table?
5. How does the choice of class interval size affect the results?

**Tip**: The number of class intervals is often chosen to be between 5 and 15, depending on the dataset size and the desired detail level.

Construct a grouped frequency distribution of the given data. Construct the columns for class intervals, frequencies, class marks or midpoints and other required columns. The SJS Travel Agency, a nationwide local travel agency, offers special rates on summer travel. The owner wants additional information on the ages of those people taking travel tours. A random sample of 50 customers taking travel tours last summer revealed their ages.

Learn how to construct a grouped frequency distribution using a dataset of ages collected from 50 travel tour customers. This guide will show you how to identify class intervals, calculate frequencies, and determine midpoints, with a step-by-step approach. Ideal for high school students studying statistics.

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