Cumulative Frequency
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Cumulative Frequency
What is meant by cumulative frequency????? The cumulative frequency is the sum of the frequencies up to a certain value in a set of data It can be obtained by determining the sum of its frequency with the total frequency of the previous data or class interval We can construct a cumulative frequency table based on the j)Ungrouped data
There are three step to construct a cumulative frequency table Step 1: add a class for zero frequency before the first class Step 2: list all the upper class boundaries Step 3: add a frequency up to the values of the class boundary size
For example: c)Ungrouped data Shoe size frequenc y
6
7
8
9
7
12
10
11
30-39
40-49
50-59
60-69
2
7
14
9
k)Grouped data Mass(kg ) frequenc y
a) THE EXAMPLE OF CUMULATIVE FREQUENCY TABLE FOR UNGROUPED DATA Step 2
Step 3
Shoe size Upper Frequenc boundary y
Cumulati ve frequenc 0 y 7 0+7 7 19 +12 1 29 9+1 2 0 30 9+1
Step 1
5
5.5
0
6
6.5
7
7
7.5
12
8
8.5
10
9
9.5
1
b) THE EXAMPLE OF CUMULATIVE FREQUENCY TABLE FOR GROUPED DATA Step 1
Step 3
Step 2
Mass(kg)
Upper boundary
Frequency
Cumulative frequency
20-29
29.5
0
0
30-39
39.5
2
2
0+2
40-49
49.5
7
9
2+7
50-59
59.5
14
23
60-69
69.5
9
32
9 +14 2 3+9
Try this examples The following data shows the grade of mathematics obtained by 70 students in a test Grade 1 2 3 4 5 6 Frequenc y
4
9
21
26
8
Construct a cumulative frequency table for the ungrouped data
2
Grade
0
1
2
3
4
5
6
Upper boundary
0.5
1.5
2.5
3.5
4.5
5.5
6.5
Frequenc y
0
4
9
21
26
8
2
Cumulati ve frequenc y
0
4
13
34
60
68
70
Construct the cumulative frequency table for the grouped data Time(s) Frequency 3.
11-15
4
16-20
8
21-25
10
26-20
3
Time(s)
Upper boundary
Frequency
11-15
15.5
4
Cumulativ e frequency 4
16-20
20.5
8
12
21-25
25.5
10
22
26-30
30.5
3
25
Let’s do class activities
What is meant by cumulative frequency????? The cumulative frequency is the sum of the frequencies up to a certain value in a set of data It can be obtained by determining the sum of its frequency with the total frequency of the previous data or class interval We can construct a cumulative frequency table based on the j)Ungrouped data
There are three step to construct a cumulative frequency table Step 1: add a class for zero frequency before the first class Step 2: list all the upper class boundaries Step 3: add a frequency up to the values of the class boundary size
For example: c)Ungrouped data Shoe size frequenc y
6
7
8
9
7
12
10
11
30-39
40-49
50-59
60-69
2
7
14
9
k)Grouped data Mass(kg ) frequenc y
a) THE EXAMPLE OF CUMULATIVE FREQUENCY TABLE FOR UNGROUPED DATA Step 2
Step 3
Shoe size Upper Frequenc boundary y
Cumulati ve frequenc 0 y 7 0+7 7 19 +12 1 29 9+1 2 0 30 9+1
Step 1
5
5.5
0
6
6.5
7
7
7.5
12
8
8.5
10
9
9.5
1
b) THE EXAMPLE OF CUMULATIVE FREQUENCY TABLE FOR GROUPED DATA Step 1
Step 3
Step 2
Mass(kg)
Upper boundary
Frequency
Cumulative frequency
20-29
29.5
0
0
30-39
39.5
2
2
0+2
40-49
49.5
7
9
2+7
50-59
59.5
14
23
60-69
69.5
9
32
9 +14 2 3+9
Try this examples The following data shows the grade of mathematics obtained by 70 students in a test Grade 1 2 3 4 5 6 Frequenc y
4
9
21
26
8
Construct a cumulative frequency table for the ungrouped data
2
Grade
0
1
2
3
4
5
6
Upper boundary
0.5
1.5
2.5
3.5
4.5
5.5
6.5
Frequenc y
0
4
9
21
26
8
2
Cumulati ve frequenc y
0
4
13
34
60
68
70
Construct the cumulative frequency table for the grouped data Time(s) Frequency 3.
11-15
4
16-20
8
21-25
10
26-20
3
Time(s)
Upper boundary
Frequency
11-15
15.5
4
Cumulativ e frequency 4
16-20
20.5
8
12
21-25
25.5
10
22
26-30
30.5
3
25
Let’s do class activities
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