# 8.3.2. Ascending and Descending Cumulative Frequency Tables and Their Graphical Representation

The following table shows the frequency distribution of the grades of 100 students in an exam:

 Sets Total Frequency 100 0– 10– 20– 30– 40– 50– 5 25 21 16 19 14

Find the percentage of success given that the minimum grade for success is 20 marks.

• A
• B
• C
• D

### Example

The following table shows the frequency distribution of the grades of 100 students in an exam:

 Sets Total Frequency 100 0– 10– 20– 30– 40– 50– 5 25 21 16 19 14

Find the percentage of success given that the minimum grade for success is 20 marks.

### Solution

Form a descending cumulative frequency table.

The lower boundaries of setsFrequency
0 and more
10 and more
20 and more
30 and more
40 and more
50 and more14
60 and more0

The percentage of students who got 20 marks or more is equal to the frequency associated with "20 and more" divided by the total number of students, and multiplied by .

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