Prepare a frequency table for the following data with width of each class interval as 10. Use exclusive method of classification:
57
44
80
75
00
18
45
14
04
64
72
51
69
34
22
83
70
20
57
28
96
56
50
47
10
34
61
66
80
46
22
10 84
50
47
73
42
33
48
65
Statistics sum

To create a frequency table using the exclusive method of classification with a class interval width of 10, we first determine the range and then establish the class intervals. The exclusive method means that the upper boundary of each class interval is not included in that interval but is included in the next interval.

### Step 1: Determine the Range
- **Minimum Value**: 0
- **Maximum Value**: 96

### Step 2: Create Class Intervals
With a class interval width of 10, the intervals will be as follows:

- 0 - 9
- 10 - 19
- 20 - 29
- 30 - 39
- 40 - 49
- 50 - 59
- 60 - 69
- 70 - 79
- 80 - 89
- 90 - 99

### Step 3: Tally the Frequencies
Count the number of data points that fall within each interval.

| Class Interval | Frequency |
|----------------|-----------|
| 0 - 9          | 4         |
| 10 - 19        | 5         |
| 20 - 29        | 4         |
| 30 - 39        | 3         |
| 40 - 49        | 7         |
| 50 - 59        | 7         |
| 60 - 69        | 5         |
| 70 - 79        | 5         |
| 80 - 89        | 3         |
| 90 - 99        | 1         |

### Final Frequency Table

| Class Interval | Frequency |
|----------------|-----------|
| 0 - 9          | 4         |
| 10 - 19        | 5         |
| 20 - 29        | 4         |
| 30 - 39        | 3         |
| 40 - 49        | 7         |
| 50 - 59        | 7         |
| 60 - 69        | 5         |
| 70 - 79        | 5         |
| 80 - 89        | 3         |
| 90 - 99        | 1         |

Would you like more details on this table or have any questions?

---

1. How does the exclusive method differ from the inclusive method?
2. What are the implications of choosing different class interval widths?
3. How would the frequency distribution change if the data set were larger?
4. How can this frequency table be used to create a histogram?
5. What is the cumulative frequency, and how can it be calculated from this table?

**Tip:** In frequency distribution, ensure that the sum of all frequencies matches the total number of observations to avoid errors.

Learn how to create a frequency table using the exclusive method of classification with a class interval width of 10. Understand the process of determining class intervals and tallying frequencies from a dataset. Suitable for high school students studying statistics.

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