Cumulative Frequency Table



In this lesson, we will learn how to construct Cumulative Frequency Tables for Ungrouped data and Grouped data.

The cumulative frequency of a set of data or class intervals of a frequency table is the sum of the frequencies of the data up to a required level. It can be used to determine the number of items that have values below a particular level.

Cumulative Frequency Table (Ungrouped data)

The following table gives the frequency distribution of marks obtained by 28 students in a particular test.

Marks

30

31

32

33

Frequency

5

7

10

6

Construct a cumulative frequency table for the given data.

Solution:

Marks

Frequency

Marks less than

Cumulative Frequency

30

5

30

5

31

7

31

5 + 7 =12

32

10

32

12 + 10 =22

33

6

33

22 + 6 =28





Statistics - How to make a cumulative frequency chart (Ungrouped data)
This example shows how to make a cumulative frequency chart. Remember that in these charts, we simply want to keep track of the grand total of the data.



Data Analysis cumulative frequency tables
What is Data? What is Data Analysis? What is Evaluation? What is Frequency Distribution Table? What is Cumulative Frequency? What is Cumulative Frequency Table?





Cumulative Frequency Table (Grouped data)

The following table gives the frequency distribution of mass of 40 objects.

Mass (g)

10–14

15–19

20–24

25–29

30–34

35–39

40–44

Frequency

3

4

10

12

6

3

2

Construct a cumulative frequency table for the given data.

Solution:

Mass

Upper class boundaries

Frequency

Mass less than

Cumulative Frequency

10 – 14

14.5

3

14.5

3

15 – 19

19.5

4

19.5

3 + 4 = 7

20 – 24

24.5

10

24.5

7 + 10 = 17

25 – 29

29.5

12

29.5

17 + 12 = 29

30 – 34

34.5

6

34.5

29 + 6 = 35

35 – 39

39.5

3

39.5

35 + 3 = 38

40 – 44

44.5

2

44.5

38 + 2 = 40




The following video how to construct the cumulative frequency table and cumulative frequency graph.



Completing a cumulative frequency table from a grouped frequency table






Cumulative Frequency - Finding the Median and Interquartile Range for Grouped Data



Creating a grouped frequency table to find mean and plot a cumulative frequency graph to find the median







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