The frequency is just a way for us to know how often an event occurred.
Please find attached the frequency distribution table.
Class with greatest frequency is; Class 30 - 39
Class with least frequency is; Class 20 - 29
Now, we are told to construct a frequency distribution for the given data using 5 classes.
- Looking at the given data, the lowest number is 0 while the highest number is 49.
This means the 5 classes will be as follows;
0 - 9
10 - 19
20 - 29
30 - 39
40 -49
- From the given table, the classes have the following frequency;
0 - 9; 5
10 - 19; 4
20 - 29; 1
30 - 39; 6
40 -49; 4
Class with greatest frequency is; Class 30 - 39
Class with least frequency is; Class 20 - 29
This means the sample size is; n = 5 + 4 + 1 + 6 + 4 = 20
- Relative frequency is; class frequency/sample size
Thus for the classes, we have Rel. Freq as;
0 - 9; 5/20 =0.25
10 - 19; 4/20 = 0.2
20 - 29; 1/20 = 0.05
30 - 39; 6/20 = 0.3
40 -49; 4/20 = 0.2
- Midpoint is; (lower class limit + upper class limit)/2
Thus, we have;
0 - 9; (0 + 9)/2 = 4.5
10 - 19; Â (10 + 19)/2 = 14.5
20 - 29; Â (20 + 29)/2 = 24.5
30 - 39; Â (30 + 39)/2 = 34.5
40 -49; Â (40 + 49)/2 = 44.5
- Cumulative frequency is the sum of the frequency of that class and all the previous classes together.
Thus, we have;
0 - 9; 5
10 - 19; 4 + 5 = 9
20 - 29; 1 + 9 = 10
30 - 39; 6 + 10 = 16
40 -49; 4 + 16 = 20
Read more at; brainly.com/question/17114842
