The task is to complete the frequency distribution table based on the given test scores. The class width is 4, and we already have the following frequencies filled:

• 72 to 75: 2
• 76 to 79: 4

Let's analyze the test scores and count how many scores fall into each of the remaining intervals:

• 80 to 83: Scores in this range are 80, 82, 82, 80, 82 (5 scores).
• 84 to 87: Scores in this range are 87, 86, 85 (3 scores).
• 88 to 91: Scores in this range are 90 (1 score).

Now, let's complete the frequency distribution:

• 72 to 75: 2
• 76 to 79: 4
• 80 to 83: 5
• 84 to 87: 3
• 88 to 91: 1

Would you like further explanation or details on how these frequencies were determined?

Here are some follow-up questions to consider:

1. How is the class width determined in a grouped frequency distribution?
2. Why is a grouped frequency distribution useful?
3. What other types of data visualizations could be used for the same test scores?
4. How would you calculate the relative frequency for each class?
5. What is the difference between a histogram and a frequency distribution?

Tip: Always ensure that the sum of frequencies equals the total number of data points.