6580	6020	5670	4900
6400	5130	7790	7670
7850	6210	6860	7400
8710	9090	6390	6340
7150	7340	7280	8570
8680	8500	5690	9420
5770	7500	6950	6820
 grouped frequency distribution table

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.

Grouped frequency distribution table for the data set: 6580, 6020, 5670, 4900, 6400, 5130, 7790, 7670, 7850, 6210, 6860, 7400, 8710, 9090, 6390, 6340, 7150, 7340, 7280, 8570, 8680, 8500, 5690, 9420, 5770, 7500, 6950, 6820.

Learn how to create a grouped frequency distribution table for the data set ranging from 4900 to 9420. This problem covers essential statistical concepts such as class intervals, data range, and frequency tallying, suitable for students in Grades 9-12.

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