This lesson includes 78 additional questions and 756 additional question variations for subscribers.

# Lesson Worksheet: Grouped Frequency Tables Mathematics

In this worksheet, we will practice constructing, reading, and interpreting frequency tables for a given quantitative data set.

**Q1: **

The tally chart shows the marks that students in a class received in a mathematics test. Using the information from the tally chart, complete the frequency table.

Sets | 5– | 10– | 15– | 20– | 25– |
---|---|---|---|---|---|

Tally |

Sets | 5– | 10– | 15– | 20– | 25– |
---|---|---|---|---|---|

Frequency |

- A
- B
- C
- D
- E

**Q2: **

Complete the frequency table which shows the marks a group of students received in a test.

Marks | 20–24 | 25–29 | 30–34 | 35–39 | 40–44 | 45–49 | 50– | Total |
---|---|---|---|---|---|---|---|---|

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

**Q3: **

The table shows the number of classes of varying sizes in a school. Using the data, complete the frequency table.

Class Size | 16 | 17 | 18 | 19 | 20 | 21 |
---|---|---|---|---|---|---|

Number of Classes | 4 | 2 | 3 | 5 | 1 | 4 |

Class Size | 16-17 | 18-19 | 20-21 |
---|---|---|---|

Frequency |

- A9, 9, 10
- B9, 8, 5
- C6, 8, 5
- D6, 5, 9

**Q4: **

Using the data given for number of absences, complete the frequency table.

7 | 10 | 7 | 8 | 5 | 1 | 2 | 7 |

6 | 2 | 4 | 3 | 2 | 8 | 5 | 6 |

5 | 8 | 9 | 8 | 2 | 1 | 10 | 9 |

10 | 9 | 10 | 3 | 9 | 7 | 7 | 8 |

Number of Absences | 1-2 | 3-4 | 5-6 | 7-8 | 9-10 |
---|---|---|---|---|---|

Frequency |

- A
- B
- C
- D

**Q5: **

The table of numbers shows the marks of 30 students in a mathematics 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 |

Using this data, complete the frequency table.

Marks | 20–23 | 24–27 | 28–31 | 32–35 | 36– | Total |
---|---|---|---|---|---|---|

Frequency | 30 |

- A
- B
- C
- D
- E

**Q6: **

The table shows the marks that a class of students received in a mathematics test. How many students got less than 45 marks?

Marks | 20–24 | 25–29 | 30–34 | 35–39 | 40–44 | 45–49 | 50–54 | 55– | Total |
---|---|---|---|---|---|---|---|---|---|

Number of Students | 7 | 8 | 2 | 5 | 6 | 5 | 9 | 2 | 44 |

**Q7: **

The table shows the marks of 100 students in a recent science exam. How many students received 40 marks or more?

Mark | 0–9 | 10–19 | 20–29 | 30–39 | 40–49 | 50– | Total |
---|---|---|---|---|---|---|---|

Frequency | 6 | 15 | 12 | 26 | 23 | 18 | 100 |

**Q8: **

The table of data shows the heights in centimeters of teachers at a school. Using a frequency table, find the number of teachers who are 175 cm or more.

179 | 169 | 193 | 171 | 163 | 186 | 178 | 173 |

167 | 166 | 195 | 156 | 163 | 190 | 171 | 195 |

156 | 186 | 187 | 159 | 172 | 169 | 184 | 195 |

159 | 168 | 179 | 155 | 178 | 162 | 174 | 167 |

193 | 177 | 159 | 179 | 162 | 189 | 163 | 182 |

181 | 167 | 189 | 173 | 187 | 159 | 170 | 186 |

**Q9: **

The table shows the number of days taken off work by 40 workers in a year. By constructing a frequency table or otherwise, calculate the number of workers who took 20 or more days off work.

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 |

**Q10: **

The table shows the marks that 30 students received in a mathematics test. How many students received 36 marks or more?

32 | 33 | 34 | 50 | 31 | 30 | 25 | 27 | 46 | 44 |

23 | 50 | 29 | 35 | 50 | 33 | 31 | 22 | 38 | 40 |

30 | 32 | 47 | 46 | 21 | 32 | 29 | 26 | 23 | 40 |