60 75 89 77 65 80 63 72
 87 64 73 75 67 74 75 74 
68 73 75 75 74 76 71 76
86 82 70 71 68 78 83 77 
74 67 88 80 72 78 83 84
  frequency table

To create a frequency table for the given data set, we'll list each unique value along with the number of times it appears in the data set.

### Data Set
```
60, 75, 89, 77, 65, 80, 63, 72
87, 64, 73, 75, 67, 74, 75, 74
68, 73, 75, 75, 74, 76, 71, 76
86, 82, 70, 71, 68, 78, 83, 77
74, 67, 88, 80, 72, 78, 83, 84
```

### Frequency Table

| Value | Frequency |
|-------|-----------|
| 60    | 1         |
| 63    | 1         |
| 64    | 1         |
| 65    | 1         |
| 67    | 2         |
| 68    | 2         |
| 70    | 1         |
| 71    | 2         |
| 72    | 2         |
| 73    | 2         |
| 74    | 4         |
| 75    | 5         |
| 76    | 2         |
| 77    | 2         |
| 78    | 2         |
| 80    | 2         |
| 82    | 1         |
| 83    | 2         |
| 84    | 1         |
| 86    | 1         |
| 87    | 1         |
| 88    | 1         |
| 89    | 1         |

Would you like a deeper analysis or have any questions?

### Relative Questions
1. What is the mode of the data set?
2. How can we calculate the mean of the data set?
3. What is the range of the data set?
4. How do you determine the median from a data set?
5. Can we determine the standard deviation of this data set?
6. How would the frequency table change if we grouped the data into intervals?
7. What are the quartiles of this data set?
8. How can we visualize this data set using a histogram?

**Tip:** When creating a frequency table, ensure all unique values are listed and correctly counted. This helps in easily identifying the mode and understanding the distribution.

Learn how to create a frequency table for a given data set including values like 60, 75, 89, 77, and more. This problem covers key statistical concepts and data analysis techniques. Suitable for high school students.

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