# 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

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

Sets | 20– | 25– | 30– | 35– | 40– | 45– | 50– | Total |
---|---|---|---|---|---|---|---|---|

Frequency | 4 | 5 | 15 | 9 | 10 | 4 | 50 |

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

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 |

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 |

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 |

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 | 30– | 40– | 50– | 60– | 70– | 80– | 90– | Total |
---|---|---|---|---|---|---|---|---|

Frequency | 40 |

- 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

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–

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 | 20– | 24– | 28– | 32– | 36– | Total |
---|---|---|---|---|---|---|

Frequency | 30 |

- A3, 7, 5, 8, 7
- B4, 7, 4, 3, 5
- C6, 8, 7, 4, 5
- D5, 8, 5, 6, 6

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–

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–

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 | 2– | 5– | 8– | 11– | 14– | 17– | Total |
---|---|---|---|---|---|---|---|

Frequency | 30 |

- A4, 1, 2, 9, 11, 3
- B4, 3, 4, 7, 10, 2
- C2, 0, 0, 2, 3, 0
- D4, 3, 6, 8, 7, 2

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–

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 |

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 |

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–

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–

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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