# 8.3.1. Collecting and Organizing Data

Below are the weekly wages of 40 workers in a factory in LE:

 60 97 30 64 73 83 48 58 90 60 77 68 54 44 71 51 72 75 81 76 98 54 50 86 55 65 77 38 30 41 47 56 43 65 85 63 51 83 50 58

Complete the following frequency table with the correct frequencies.

 Wages Total Frequency 40 30– 40– 50– 60– 70– 80– 90–
• A3, 5, 10, 7, 7, 5, 3
• B3, 7, 10, 5, 7, 6, 2
• C2, 0, 2, 2, 0, 0, 1
• D1, 5, 8, 5, 7, 5, 2

### Example

Below are the weekly wages of 40 workers in a factory in LE:

 60 97 30 64 73 83 48 58 90 60 77 68 54 44 71 51 72 75 81 76 98 54 50 86 55 65 77 38 30 41 47 56 43 65 85 63 51 83 50 58

Complete the following frequency table with the correct frequencies.

 Wages Total Frequency 40 30– 40– 50– 60– 70– 80– 90–

### Solution

Count the number of wages within each set.

indicates the set of wages that are greater than or equal to 30 and less than 40. There are 3 wages that fall within this range, so the frequency for the set is 3.

indicates the set of wages that are greater than or equal to 40 and less than 50. There are 5 wages that fall within this range, so the frequency for the set is 5.

indicates the set of wages that are greater than or equal to 50 and less than 60. There are 10 wages that fall within this range, so the frequency for the set is 10.

indicates the set of wages that are greater than or equal to 60 and less than 70. There are 7 wages that fall within this range, so the frequency for the set is 7.

indicates the set of wages that are greater than or equal to 70 and less than 80. There are 7 wages that fall within this range, so the frequency for the set is 7.

indicates the set of wages that are greater than or equal to 80 and less than 90. There are 5 wages that fall within this range, so the frequency for the set is 5.

indicates the set of wages that are greater than or equal to 90. There are 3 wages that fall within this range, so the frequency for the set is 3.

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

 Wages Frequency 30 40 50 60 70 80 90 Total 3 5 10 7 7 5 3 40
0
correct
0
incorrect
0
skipped