To create the grouped frequency distribution table (GFDT) as requested, let's follow these steps based on the data provided in the image:

1. Identify the Range:

   • Find the minimum and maximum values in the dataset.
   • Based on the image, I will calculate these values from the visible numbers.

2. Determine the Class Width:

   • We want 10 classes, so the class width can be calculated as: $\text{Class Width} = \frac{\text{Range}}{\text{Number of Classes}}$
   • Then, round this class width to a "nice" value, which usually means a number that is easy to work with (like 5 or 10).

3. Construct the Classes:

   • Each class will have its lower limit as a multiple of the class width.
   • Using closed intervals, we will list each class range and count the frequencies of data points within each class.

I’ll calculate these steps now and construct the table.I’ve created the grouped frequency distribution table based on the data you provided. If you have any questions about this table or want further details on each step, feel free to ask!

Here are five related questions to expand your understanding:

1. How do we determine an appropriate "nice" class width for any dataset?
2. Why is the class interval typically written as a closed interval?
3. How does changing the number of classes affect the interpretation of the data?
4. Can we use different methods to calculate the class width, and if so, how might they differ?
5. How can this grouped frequency distribution be visualized in a histogram?

Tip: When constructing a frequency distribution table, always ensure that each class interval is mutually exclusive, meaning no data point should fall into more than one class.