Construct a grouped frequency distribution table (GFDT) for this data set. You want 10 classes with a "nice" class width. Your classes should be labeled using interval notation. Each class contains its lower class limit, and the lower class limits should all be multiples of the class width. In that the data appears to be discrete, use a closed-interval to label each class.

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### Educational Website Transcription and Explanation

#### Data Set
Here is a data set:
```
498, 452, 451, 462
482, 521, 463, 476
476, 489, 473, 500
525, 467, 476, 470
476, 464, 464, 434
463, 441, 437, 473
463, 445, 468, 487
```

#### Task
Construct a grouped frequency distribution table (GFDT) for this data set. You need to create 10 classes with a "nice" class width. Classes should be labeled using interval notation. Each class contains its lower class limit, and the lower class limits should be multiples of the class width. Since the data appears to be discrete, use a closed interval to label each class.

#### Grouped Frequency Distribution Table (GFDT)
The table consists of two columns: "Data range" and "Frequency."

| Data Range | Frequency |
|------------|-----------|
| [430, 440] | 3 ✔️       |
| [440, 450] | 3 ❌       |
| [450, 460] | 3 ❌       |
| [460, 470] | 7 ✔️       |
| [470, 480] | 6 ✔️       |
| [480, 490] | 2 ❌       |
| [490, 500] | 0 ❌       |
| [500, 510] | 1 ❌       |
| [510, 520] | 1 ❌       |

#### Explanation
- **Data Range**: Represents intervals of the data set, structured in a way that each interval is a multiple of the class width.
- **Frequency**: Indicates how many data points fall into each interval.
- "✔️" and "❌" symbols demonstrate correct and incorrect entries respectively for the class intervals based on given criteria.
  
This table helps visualize the distribution of data points across different intervals, aiding in understanding the data's spread and concentration.
Transcribed Image Text:### Educational Website Transcription and Explanation #### Data Set Here is a data set: ``` 498, 452, 451, 462 482, 521, 463, 476 476, 489, 473, 500 525, 467, 476, 470 476, 464, 464, 434 463, 441, 437, 473 463, 445, 468, 487 ``` #### Task Construct a grouped frequency distribution table (GFDT) for this data set. You need to create 10 classes with a "nice" class width. Classes should be labeled using interval notation. Each class contains its lower class limit, and the lower class limits should be multiples of the class width. Since the data appears to be discrete, use a closed interval to label each class. #### Grouped Frequency Distribution Table (GFDT) The table consists of two columns: "Data range" and "Frequency." | Data Range | Frequency | |------------|-----------| | [430, 440] | 3 ✔️ | | [440, 450] | 3 ❌ | | [450, 460] | 3 ❌ | | [460, 470] | 7 ✔️ | | [470, 480] | 6 ✔️ | | [480, 490] | 2 ❌ | | [490, 500] | 0 ❌ | | [500, 510] | 1 ❌ | | [510, 520] | 1 ❌ | #### Explanation - **Data Range**: Represents intervals of the data set, structured in a way that each interval is a multiple of the class width. - **Frequency**: Indicates how many data points fall into each interval. - "✔️" and "❌" symbols demonstrate correct and incorrect entries respectively for the class intervals based on given criteria. This table helps visualize the distribution of data points across different intervals, aiding in understanding the data's spread and concentration.
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