Class boundaries should be considered to be the real limits for the class interval as it gives a more accurate representation of the data. The class interval is the range of values that are grouped together in a frequency distribution table. Class boundaries, on the other hand, are the actual limits of each interval, including the values that are at the edge of each interval.

Explanation:

For example, if we have a set of data that ranges from 10 to 100, and we want to group this data into class intervals of width 10, we might use the following intervals:

- 10-19
- 20-29
- 30-39
- ...
- 90-99
- 100-109

The class boundaries for each interval would be:

- 9.5-19.5
- 19.5-29.5
- 29.5-39.5
- ...
- 89.5-99.5
- 99.5-109.5

The use of class boundaries provides a more accurate representation of the data, as it takes into account the fact that values can fall on the edge of each interval. This is important when calculating measures such as the mean, median, and mode, which require the use of exact values.

Furthermore, class boundaries allow us to construct a histogram or frequency polygon, which provides a visual representation of the distribution of the data. In these graphs, the class boundaries are used to determine the width of each bar or polygon.

In conclusion, class boundaries should be considered to be the real limits for the class interval as it provides a more accurate representation of the data and allows for the construction of more accurate graphs.

A class boundary mean upper limit and lower limit also known as class interval