Homework Sourse1 For the sample data given create a frequency table using 5
1. For the sample data given create a frequency table using 5 classes. Find all relative and cumalative frequencies.
sample data
60,120,120,150,180,180,180,180,180,240,240,240,240,300,300,300,360,420,420,600
what is the Class limits / F / RF /CF for each?
2. use the frequencies found in the table above to sketch the histogram for the distribution. use the class boundaries for the horizontal axis.
Round off to the nearest multiple of 5.
Solution
The minimum value of data set is 60 while the maximum is 600.
Let us set up a class interval of 120 each starting with 5 - 125, 125 - 245, ......, 485 - 605
Relative frequency
RF = f/N
Cumulative frequency
CF = sum of fi
Histogram:
| Class interval | Frequency (f) | Relative frequency RF = f/N | Cumulative frequency CF = sum of fi |
| 5-125 | 3 | 15 | 3 |
| 125-245 | 10 | 50 | 13 |
| 245-365 | 4 | 20 | 17 |
| 365-485 | 2 | 10 | 19 |
| 485-605 | 1 | 5 | 20 |
| Total | N = 20 | 100 |
