1. Let's start by stating the problem: You want to understand the difference between class boundaries and class limits in statistics. 2. Class limits are the smallest and largest values that can belong to a class interval. For example, if a class interval is 10-20, then 10 is the lower class limit and 20 is the upper class limit. 3. Class boundaries are the actual dividing lines between classes. They are found by taking the average of the upper limit of one class and the lower limit of the next class. This helps avoid gaps between classes. 4. For example, if one class ends at 20 and the next class starts at 21, the class boundary between them is calculated as $$\frac{20 + 21}{2} = 20.5$$. 5. So, class limits are the values that define the range of a class, while class boundaries are the values that separate one class from the next without any gaps. 6. Important rule: Class boundaries are always halfway between the upper limit of one class and the lower limit of the next class. 7. In summary, class limits define the interval, and class boundaries define the exact cutoff points between intervals.