To construct a correct Grouped Frequency Distribution Table (GFDT) for this dataset, let's go through the steps:

1. Identify the Range of Data: Determine the minimum and maximum values in the dataset.
2. Decide on the Number of Classes: Since you want 10 classes, we’ll divide the range by 10 to determine a suitable class width.
3. Calculate Class Width: Use the formula:
   $\text{Class Width} = \frac{\text{Max Value} - \text{Min Value}}{\text{Number of Classes}}$ Round up to a convenient number if needed.
4. Define Class Intervals: Begin from the smallest data point, and add the class width successively to define each interval.
5. Count Frequencies: For each interval, count how many data points fall within that range.

Here is a quick calculation using the values I see in your table:

• Minimum value: 455
• Maximum value: 637
• Range: $637 - 455 = 182$
• Class Width (approximately): $\frac{182}{10} = 18.2$, rounded to 20 for convenience.

This gives intervals of 20, starting from 450 to cover all data points.

Would you like me to complete the table for you, or do you have any questions so far?

Here are some follow-up questions for better understanding:

1. How is the data range determined in a GFDT?
2. Why is it necessary to round up the class width?
3. What is the advantage of using a closed interval in this context?
4. How would the table differ if we used 15 classes instead of 10?
5. Why is it important that each interval is a multiple of the class width?

Tip: Always ensure your class intervals cover all data values, from the lowest to the highest, without overlap for consistency in frequency counts.