To determine the class width, class midpoint, and class boundaries for the class [tex]$235.0-265.9$[/tex], we'll walk through the steps carefully.
1. Class Width:
The class width is the difference between the upper limit and the lower limit of the class.
- Lower limit: [tex]\(235.0\)[/tex]
- Upper limit: [tex]\(265.9\)[/tex]
So, the class width is:
[tex]\[
\text{Class Width} = 265.9 - 235.0 = 30.9
\][/tex]
2. Class Midpoint:
The class midpoint is the average of the upper and lower limits of the class. To calculate the midpoint, we add the lower and upper limits and then divide by 2.
[tex]\[
\text{Class Midpoint} = \frac{235.0 + 265.9}{2} = \frac{500.9}{2} = 250.45
\][/tex]
3. Class Boundaries:
Class boundaries are used to avoid gaps between the classes and are typically calculated by subtracting 0.05 from the lower limit and adding 0.05 to the upper limit.
- Lower limit: [tex]\(235.0\)[/tex]
- Upper limit: [tex]\(265.9\)[/tex]
Therefore, the class boundaries are:
[tex]\[
\text{Class Lower Boundary} = 235.0 - 0.05 = 234.95
\][/tex]
[tex]\[
\text{Class Upper Boundary} = 265.9 + 0.05 = 265.95
\][/tex]
So, summarizing all the results:
- Class Width: [tex]\(30.9\)[/tex]
- Class Midpoint: [tex]\(250.45\)[/tex]
- Class Boundaries: [234.95, 265.95]
