Class IntervalClass Boundaries (Continuous)Frequency (f)Cumulative Frequency (Less Than)Cumulative Frequency (Greater Than)1-100.5 - 10.5404039911-2010.5 - 20.5478735921-3020.5 - 30.54513231231-4030.5 - 40.55018226741-5040.5 - 50.55523721751-6050.5 - 60.54227916261-7060.5 - 70.54031912071-8070.5 - 80.5353548081-9080.5 - 90.5253794591-10090.5 - 100.52039920

It looks like you've provided a frequency distribution table with class intervals, class boundaries, frequencies, cumulative frequencies (less than), and cumulative frequencies (greater than). Below is a summary of how the data is interpreted and a breakdown of what each column represents:

1. **Class Intervals**: These define the range of data within each category (e.g., 1-10, 11-20, etc.).
2. **Class Boundaries**: These are the exact limits for each class interval, used to avoid overlap (e.g., 0.5 - 10.5 for 1-10).
3. **Frequency (f)**: This represents the number of occurrences (or observations) in each class interval.
4. **Cumulative Frequency (Less Than)**: This is the cumulative total of frequencies up to and including the current class.
5. **Cumulative Frequency (Greater Than)**: This is the total of frequencies greater than the current class.

Here's the table formatted properly for clarity:

| Class Interval | Class Boundaries | Frequency (f) | Cumulative Frequency (Less Than) | Cumulative Frequency (Greater Than) |
|----------------|------------------|---------------|----------------------------------|-------------------------------------|
| 1 - 10         | 0.5 - 10.5       | 40            | 40                               | 399                                 |
| 11 - 20        | 10.5 - 20.5      | 47            | 87                               | 359                                 |
| 21 - 30        | 20.5 - 30.5      | 45            | 132                              | 312                                 |
| 31 - 40        | 30.5 - 40.5      | 50            | 182                              | 267                                 |
| 41 - 50        | 40.5 - 50.5      | 55            | 237                              | 217                                 |
| 51 - 60        | 50.5 - 60.5      | 42            | 279                              | 162                                 |
| 61 - 70        | 60.5 - 70.5      | 40            | 319                              | 120                                 |
| 71 - 80        | 70.5 - 80.5      | 35            | 354                              | 80                                  |
| 81 - 90        | 80.5 - 90.5      | 25            | 379                              | 45                                  |
| 91 - 100       | 90.5 - 100.5     | 20            | 399                              | 20                                  |

### Key Calculations:
- **Cumulative Frequency (Less Than)** is obtained by adding the frequency of the current class to the cumulative frequency of the previous class.
- **Cumulative Frequency (Greater Than)** is obtained by subtracting the current frequency from the cumulative total of all frequencies.

Would you like to calculate any further statistics (mean, median, mode, etc.) or visualize this data (e.g., frequency polygon, histogram)? 

### Five relative questions:
1. How do we calculate the median using this frequency distribution?
2. What is the difference between class intervals and class boundaries?
3. How would we calculate the mean from this table?
4. Can we construct an ogive (cumulative frequency graph) based on this data?
5. What does the cumulative frequency (greater than) help us analyze?

**Tip:** When handling grouped data like this, always use the class boundaries (not intervals) when creating visual representations, as they prevent overlaps.

Explore a detailed explanation of frequency distribution tables and cumulative frequency tables with examples. Learn how to interpret class intervals, class boundaries, frequencies, cumulative frequencies (less than), and cumulative frequencies (greater than) in statistical analysis. Suitable for high school students studying statistics.

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