How To Find Class Boundaries Midpoints And Widths
In a frequency distribution, class boundaries are the values that separate the classes.
We use the following steps to calculate the class boundaries in a frequency distribution:
1.Subtract the upper class limit for the first class from the lower class limit for the second class.
two. Divide the result by two.
3.Subtract the result from the lower class limit and add together the event to the the upper class limit for each grade.
The following examples show how to use these steps in practise to calculate class boundaries in a frequency distribution.
Case 1: Calculating Form Boundaries
Suppose we have the following frequency distribution that represents the number of wins by various basketball teams:
Employ the following steps to calculate the form boundaries:
1.Decrease the upper form limit for the first form from the lower class limit for the second class.
The upper class limit for the showtime grade is 30 and the lower form limit for the second class is 31. Thus, we become: 31 – 30 = ane.
2. Divide the result by two.
Next, we divide the result by 2. So, nosotros get 1/2 = 0.5.
3.Subtract the result from the lower class limit and add the result to the the upper course limit for each form.
Lastly, nosotros subtract 0.v from the lower class limit and add 0.5 to the upper grade limit for each grade:
Nosotros translate the results as follows:
- The outset class has a lower class boundary of 25.5 and an upper class boundary of 30.five.
- The second grade has a lower class purlieus of thirty.v and an upper grade purlieus of 35.v.
- The 3rd course has a lower grade boundary of 35.v and an upper class purlieus of xl.5.
Then on.
Example 2: Calculating Class Boundaries
Suppose nosotros have the following frequency distribution:
Apply the following steps to summate the class boundaries:
ane.Subtract the upper class limit for the starting time class from the lower class limit for the 2nd course.
The upper class limit for the first class is 60.9 and the lower class limit for the second class is 61. Thus, nosotros get: 61 – 60.9 = 0.ane.
2. Split up the outcome by 2.
Next, we divide the event by ii. So, nosotros become 0.1/2 = 0.05.
iii.Subtract the result from the lower class limit and add together the outcome to the the upper class limit for each class.
Lastly, we subtract 0.05 from the lower class limit and add 0.05 to the upper grade limit for each course:
We interpret the results equally follows:
- The first course has a lower class boundary of 55.95 and an upper class purlieus of 60.95.
- The second form has a lower class boundary of lx.95 and an upper course purlieus of 65.95.
- The third class has a lower class boundary of 65.95 and an upper grade purlieus of 70.95.
And and then on.
Additional Resources
How to Find Course Midpoints
How to Find Class Limits
How to Detect Class Intervals
Course Width Calculator
How to Calculate Class Width in Excel
Source: https://www.statology.org/how-to-find-class-boundaries/
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