# 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
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The table shows the frequency distribution for the grades of 50 students in an exam, what is the missing frequency?

 Sets Total Frequency 50 20– 25– 30– 35– 40– 45– 50– 4 5 15 9 10 4

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The table below shows the heights of 40 students in centimetres. Form a frequency table using the sets 130–, 140–, 150–, 160–, and 170–, and then find the number of students whose heights are less than cm.

 143 148 148 155 154 148 171 135 174 153 153 135 162 172 143 142 147 150 134 175 158 173 173 156 171 175 134 172 157 154 174 146 151 146 174 137 176 149 152 136

• A27 students
• B28 students
• C21 students
• D11 students
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Given that the table below shows the heights of 40 students in centimetres, find the shortest height.

 143 170 173 141 146 147 144 178 161 156 175 167 171 156 152 139 169 174 180 146 150 167 174 162 146 158 141 150 137 179 179 152 178 159 167 156 169 169 177 177

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The table below represents the heights of 40 students in centimetres. Determine the greatest height.

 161 131 133 151 130 154 169 151 156 168 163 172 163 169 166 131 131 157 163 154 157 163 142 150 162 148 138 136 139 139 145 161 134 160 164 151 171 159 152 142

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The table below represents the heights of 40 students in centimetres. Determine the range of height.

 166 147 163 166 147 176 164 140 163 150 145 169 168 169 179 166 167 173 157 156 171 170 145 136 184 139 166 168 160 171 166 180 161 176 186 148 155 174 142 181

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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, 7, 10, 5, 7, 6, 2
• B3, 5, 10, 7, 7, 5, 3
• C1, 5, 8, 5, 7, 5, 2
• D2, 0, 2, 2, 0, 0, 1
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The table below shows the weekly wages of 40 workers in a factory in LE. Form a frequency table using the sets 30–, 40–, 50–, 60–, 70–, 80–, and 90– to determine the set with the highest frequency.

 80 35 51 52 63 76 93 61 85 90 84 90 42 76 92 41 48 38 82 31 59 56 64 34 78 32 72 91 81 41 76 39 55 45 80 30 91 97 60 91

• A40–
• B90–
• C30–
• D50–
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The following are the grades of 30 students in a monthly math exam:

 25 37 31 39 26 23 27 31 20 33 35 37 23 37 21 33 24 27 36 27 32 26 30 37 25 31 32 21 28 32

Complete the following frequency table with the correct frequencies.

 Grades Total Frequency 30 20– 24– 28– 32– 36–

• A3, 7, 5, 8, 7
• B4, 7, 4, 3, 5
• C6, 8, 7, 4, 5
• D5, 8, 5, 6, 6
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The table below shows the grads of 30 students in a monthly math exam. Form the frequency table using the sets 20–, 24–, 28–, 32– and 36–, then determine the set with the lowest frequency.

 28 30 39 37 36 28 28 35 33 25 39 39 27 20 39 31 36 28 20 35 32 37 38 30 31 25 29 28 39 36

• A20–
• B28–
• C32–
• D24–
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The table below shows the days off taken by 40 workers during a year. Form a frequency table using the sets 5–, 10–, 15–, 20– and 25–, then determine the set with the lowest frequency.

 11 21 8 5 25 10 25 15 12 29 28 5 10 9 25 24 26 5 7 11 15 6 8 21 14 23 29 15 27 11 13 17 27 15 17 20 10 19 27 27

• A5–
• B15–
• C10–
• D20–
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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, 1, 2, 9, 11, 3
• B4, 3, 4, 7, 10, 2
• C2, 0, 0, 2, 3, 0
• D4, 3, 6, 8, 7, 2
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The numbers below are the results of 30 students in an exam. Form a frequency table using the sets 2–, 5–, 8–, 11–, 14–, and 17– to determine the set with the highest frequency.

 13 17 15 10 18 15 3 8 8 14 12 10 9 8 2 5 3 17 4 14 8 16 18 4 13 3 9 10 12 19

• A5–
• B11–
• C2–
• D8–
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The table below shows the days off taken by 40 workers during a year. Form a frequency table using the sets 5–, 10–, 15–, 20–, 25–, 30– to determine the number of workers who took 20 or more days off in that year.

 16 18 5 20 15 26 12 17 8 5 5 12 26 30 23 22 21 30 25 21 27 15 12 28 11 12 26 12 13 23 6 29 28 5 20 12 10 24 23 14

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The table below shows the grades of 30 students in a monthly exam. Form a frequency table using the sets 20–, 24–, 28–, 32– and 36–, then determine the total number of excellent students, knowing that the excellent grade starts from 36.

 21 32 38 39 20 22 20 37 39 33 22 34 32 26 25 21 39 36 38 38 32 30 26 25 37 20 24 23 23 29

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The table below shows the grades of 30 students in an exam. Form the frequency table using the sets 2–, 5–, 8–, 11–, 14– and 17–, then determine the set with the lowest frequency.

 10 16 9 3 6 18 9 17 18 13 2 13 12 13 16 17 5 14 15 13 12 15 19 3 4 15 3 12 3 9

• A2–
• B11–
• C8–
• D5–
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The following are the grades of 30 students in a monthly math exam:

 28 37 20 28 34 38 31 39 27 23 37 31 32 25 22 24 37 34 31 24 30 32 32 25 22 27 36 39 39 34

Form a frequency table using the sets 20–, 24–, 28–, 32–, 36– then determine the set with the highest frequency.

• A36–
• B24–
• C20–
• D28–
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The following are the grades of 30 students in a monthly exam:

 27 29 25 21 39 21 29 36 21 20 24 24 31 23 20 25 25 33 25 39 21 32 27 30 25 29 32 25 26 27

Form a frequency table using the sets 20–, 24–, 28–, 32–, 36– then determine the total number of students who got less than 24 marks.

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