Answer
The class width is 10
SOLUTION
Problem Statement
We are given a table with classes and their corresponding frequencies. We are asked to find the class width of each class
Method
To solve this question, we shall perform these steps:
Step 1. Calculate the range of the entire data set by subtracting the lowest point from the highest,
Step 2. Divide it by the number of classes.
Step 3. Round this number up (usually, to the nearest whole number).
Implementation
Step 1:
Calculating the range. The highest number in the class is 109 while the least number is 60. Thus, the range of the data is:
[tex]\begin{gathered} \text{Range}=\text{Highest}-\text{Lowest} \\ \text{Range}=109-60 \\ \\ \therefore\text{Range}=49 \end{gathered}[/tex]Step 2:
Divide the range by the number of classes.
- The number of classes is gotten by counting the number of cells in the Class column on the table. There are 5 classes after counting
Now, let us divide the result from Step 1 by this result.
[tex]\frac{49}{5}=9.8[/tex]Step 3:
Round the result of step 2 up.
[tex]9.8\approx10[/tex]Final Answer
The class width is 10