# 8.3.1. Collecting and Organizing Data

The table below shows the marks of 40 students in an exam out of 20. Form a frequency table using the sets 0–, 4–, 8–, 12–, and 16–, then find the percentage representing the number of students who got at least 8 marks.

 17 11 9 11 7 19 5 12 15 18 8 8 14 16 13 15 9 12 20 5 12 17 19 13 20 20 12 5 14 3 6 4 20 19 12 9 20 15 14 15
• A
• B
• C
• D

### Example

The table below shows the marks of 40 students in an exam out of 20. Form a frequency table using the sets 0–, 4–, 8–, 12–, and 16–, then find the percentage representing the number of students who got at least 8 marks.

 17 11 9 11 7 19 5 12 15 18 8 8 14 16 13 15 9 12 20 5 12 17 19 13 20 20 12 5 14 3 6 4 20 19 12 9 20 15 14 15

### Solution

Count the number of marks for each set to identify the frequency.

 Sets of marks Frequency Total 1 6 7 14 12 40

To find the percentage of students who got at least 8 marks, divide the number of students who got at least 8 marks by the total number of students. The number of students who got at least 8 marks is equal to the sum of the frequencies for the sets , and .

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