# 8.3.1. Collecting and Organizing Data

Below are the scores of 30 students in an exam:

 3 18 6 13 19 15 7 12 10 15 10 12 13 2 12 10 14 11 10 15 14 16 3 15 2 11 14 15 15 7

Complete the following frequency table with the correct frequencies.

 Scores Total Frequency 30 2– 5– 8– 11– 14– 17–
• A4, 3, 4, 7, 10, 2
• B4, 3, 6, 8, 7, 2
• C2, 0, 0, 2, 3, 0
• D4, 1, 2, 9, 11, 3

### Example

Below are the scores of 30 students in an exam:

 3 18 6 13 19 15 7 12 10 15 10 12 13 2 12 10 14 11 10 15 14 16 3 15 2 11 14 15 15 7

Complete the following frequency table with the correct frequencies.

 Scores Total Frequency 30 2– 5– 8– 11– 14– 17–

### Solution

Count the number of scores for each set.

indicates the set of scores that are greater than or equal to 2 and less than 5. There are 4 scores that fall within this range, so the frequency for the set is 4.

indicates the set of scores that are greater than or equal to 5 and less than 8. There are 3 scores that fall within this range, so the frequency for the set is 3.

indicates the set of scores that are greater than or equal to 8 and less than 11. There are 4 scores that fall within this range, so the frequency for the set is 4.

indicates the set of scores that are greater than or equal to 11 and less than 14. There are 7 scores that fall within this range, so the frequency for the set is 7.

indicates the set of scores that are greater than or equal to 14 and less than 17. There are 10 scores that fall within this range, so the frequency for the set is 10.

indicates the set of scores that are greater than or equal to 17. There are 2 scores that fall within this range, so the frequency for the set is 2.

Using the previous data, the frequency table for the weekly wages can be completed as follows:

 Scores Frequency Total 4 3 4 7 10 2 30
0
correct
0
incorrect
0
skipped