https://file.aiquickdraw.com/mathbot/file/1729133487479falfbz85.jpg

To create a frequency distribution table from the dataset in the image, we will follow these steps:

1. **Identify the range**: We will calculate the minimum and maximum values.
2. **Choose the number of classes**: Typically, we can use Sturges' formula to determine the optimal number of classes:  
   \[
   k = 1 + 3.322 \log_{10}(n)
   \]
   where \( n \) is the sample size (here \( n = 100 \)).
3. **Calculate class width**:  
   \[
   \text{Class width} = \frac{\text{Range}}{\text{Number of classes}}
   \]
4. **Construct the frequency distribution** by grouping the data into the classes and counting how many numbers fall into each class.

Let me go ahead and calculate this now.Here is the frequency distribution table based on the dataHere is the frequency distribution table based on the 

| Class Interval | Frequency |
|----------------|-----------|
| 30 - 38        | 5         |
| 39 - 47        | 8         |
| 48 - 56        | 13        |
| 57 - 65        | 12        |
| 66 - 74        | 17        |
| 75 - 83        | 18        |
| 84 - 92        | 17        |
| 93 - 101       | 10        |

### Summary:
- **Minimum value**: 30
- **Maximum value**: 99
- **Range**: 69
- **Number of classes**: 8
- **Class width**: 9

Would you like more details on this process or any further calculations?

Here are 5 relative questions you might explore:
1. How would this distribution change with a different number of class intervals?
2. What would be the cumulative frequency for this dataset?
3. Can we calculate the mean, median, and mode from this data?
4. How does the class width affect the shape of the frequency distribution?
5. Can we create a histogram for this frequency distribution?

**Tip**: The class width affects the precision of the frequency distribution; smaller widths give more detailed groupings, while larger ones provide a more generalized view.

Create a frequency distribution table from a dataset of 100 values, using statistical methods to calculate the range, class intervals, and frequencies. Learn to apply Sturges' formula for determining the number of classes and class width.

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