How to find the class midpoint?
Understand the Problem
The question is asking for a method to determine the class midpoint, which in statistics is the value that represents the center of a class interval. This is calculated by taking the average of the lower and upper boundaries of the class interval.
Answer
\text{Class Midpoint} = \frac{\text{Lower Boundary} + \text{Upper Boundary}}{2}
Answer for screen readers
To find the class midpoint, add the lower and upper boundaries of the class interval and then divide by 2.
Steps to Solve
- Identify the lower and upper boundaries of the class interval
First, you need to find the lower boundary and the upper boundary of the class interval. These are the smallest and largest values within the class interval, respectively.
- Add the lower and upper boundaries together
Next, sum the lower boundary and the upper boundary.
$$\text{Sum} = \text{Lower Boundary} + \text{Upper Boundary}$$
- Divide the sum by 2
Finally, find the average of the sum by dividing it by 2. This will give you the class midpoint.
$$\text{Class Midpoint} = \frac{\text{Sum}}{2}$$
To find the class midpoint, add the lower and upper boundaries of the class interval and then divide by 2.
More Information
The class midpoint is used to represent the center of a class interval in a frequency distribution.
Tips
A common mistake is to confuse the class width with the class midpoint. To avoid this mistake, remember that the midpoint is the average of the lower and upper boundaries, while the width is the difference between them.