To create a grouped frequency distribution table, we first need to define the class intervals and then tally the frequency of values that fall within each interval.

Step 1: Determine the range

• Maximum value = 9420
• Minimum value = 4900
• Range = 9420 - 4900 = 4520

Step 2: Choose the number of classes

A common rule is to have around 6 to 10 classes. Let's select 7 classes for this example.

Step 3: Calculate the class width

Class width can be calculated by dividing the range by the number of classes. $\text{Class width} = \frac{4520}{7} \approx 646$ To keep things simple, we'll round it to 650.

Step 4: Create class intervals

We start at 4900 (the minimum value) and add the class width (650) to get the next class. The intervals are:

• 4900–5549
• 5550–6199
• 6200–6849
• 6850–7499
• 7500–8149
• 8150–8799
• 8800–9449

Step 5: Tally the frequencies

Now we count how many values fall into each interval.

Class Interval	Frequency
4900–5549	3
5550–6199	4
6200–6849	8
6850–7499	6
7500–8149	5
8150–8799	5
8800–9449	2

This table represents the grouped frequency distribution of the data.

Would you like more details or have any questions?

Five Related Questions:

1. How is the class width determined in a grouped frequency distribution?
2. What are the advantages of using a grouped frequency table over individual data points?
3. How does changing the number of class intervals affect the distribution?
4. What is the cumulative frequency, and how can it be calculated from this table?
5. How can you create a histogram based on this grouped frequency table?

Tip:

Always round up the class width to avoid missing the maximum value.