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

The data you provided includes class intervals, class boundaries, frequencies, cumulative frequencies (less than), and cumulative frequencies (greater than). Below is a structured interpretation of the table:

| Class Interval | Class Boundaries (Continuous) | 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                                  |

### Explanation:
- **Class Interval**: The intervals into which the data is divided.
- **Class Boundaries (Continuous)**: The boundaries of the intervals, accounting for continuity (by adding or subtracting 0.5).
- **Frequency (f)**: The number of observations in each class interval.
- **Cumulative Frequency (Less Than)**: The cumulative sum of frequencies up to the class interval.
- **Cumulative Frequency (Greater Than)**: The cumulative sum of frequencies starting from the last class interval down to the current one.

If you need further analysis of the data or specific calculations, feel free to ask!

### Would you like details on any of the following?
1. How to calculate cumulative frequencies.
2. How to interpret class boundaries.
3. How to find the median from this table.
4. How to calculate the mean of grouped data.
5. How to plot this data on a graph.

**Tip:** In statistics, cumulative frequencies are useful for determining medians, quartiles, and percentiles from grouped data.

Explore a detailed explanation of grouped frequency distribution, focusing on class intervals, class boundaries, frequencies, cumulative frequencies (less than), and cumulative frequencies (greater than). This statistical analysis provides insights into data grouping and is ideal for high school students studying statistics.

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