In this worksheet, we will practice constructing frequency tables by choosing appropriate scales and intervals for them and finding missing values to complete them.

**Q4: **

Complete the frequency table by finding the value of .

Interval | 10–19 | 20–29 | 30–39 | 40–49 | 50–59 | Total |
---|---|---|---|---|---|---|

Frequency | 12 | 14 | 15 | 14 | 65 |

**Q5: **

The table shows the average temperatures recorded in 45 cities on one day. How many cities had a temperature below 22 degrees?

Temperature () | 20–21 | 22–23 | 24–25 | 26–27 | 28–29 | Total |
---|---|---|---|---|---|---|

Number of Cities | 14 | 7 | 10 | 8 | 6 | 45 |

**Q6: **

The table shows the number of days off in a year 50 workers spent on holiday. Find the value of .

Days Holiday | 2–5 | 6–9 | 10–13 | 14–17 | 18–21 | 22–25 | 26– | Total |
---|---|---|---|---|---|---|---|---|

Number of Workers | 9 | 2 | 6 | 10 | 5 | 11 | 50 |

**Q9: **

The table shows donations made by students to a charity. How many students donated between 60–70 pounds?

Donation in Pounds | 20–29 | 30–39 | 40–49 | 50–59 | 60–69 | 70– | Total Number of Students |
---|---|---|---|---|---|---|---|

Number of Students | 4 | 2 | 3 | 7 | 16 | 5 | 37 |

**Q10: **

The table shows the bonuses received by 75 factory workers. How many workers received a bonus which was less than 50 LE?

Bonus (LE) | 20–29 | 30–39 | 40–49 | 50–59 | 60–69 | 70– | Total |
---|---|---|---|---|---|---|---|

Number of Workers | 10 | 5 | 10 | 15 | 25 | 10 | 75 |

**Q12: **

The table shows the daily income of 40 workers. Find the value of .

Sets | 135–154 | 155–174 | –194 | 195–214 | 215–234 | Total |
---|---|---|---|---|---|---|

Frequency | 15 | 7 | 6 | 8 | 4 | 40 |

**Q13: **

The table shows the heights of 100 students in a school. How many students’ heights are less than 135 cm?

Height (cm) | 115–119 | 120–124 | 125–129 | 130–134 | 135–139 | 140–144 | 145– | Total |
---|---|---|---|---|---|---|---|---|

Number of Students | 15 | 23 | 15 | 9 | 18 | 9 | 11 | 100 |

**Q14: **

The table shows donations made by students to a charity. How many students made donations in the highest interval?

Donations in Pounds | 20–29 | 30–39 | 40–49 | 50–59 | 60–69 | 70– | Total number of students |
---|---|---|---|---|---|---|---|

Number of students | 11 | 7 | 2 | 3 | 5 | 4 | 32 |

**Q15: **

The table shows the marks that a class of students received in a mathematics test. How many students got more than 40 marks?

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

Number of Students | 4 | 5 | 6 | 4 | 6 | 5 | 4 | 7 | 41 |

**Q16: **

Complete the frequency table by finding the value of .

Sets | 90–109 | –129 | 130–149 | 150–169 | 170–189 | Total |
---|---|---|---|---|---|---|

Frequency | 6 | 9 | 15 | 6 | 6 | 50 |

**Q17: **

The table shows donations made by students to a charity. How many students made donations in the lowest interval?

Donation in Pounds | 20–29 | 30–39 | 40–49 | 50–59 | 60–69 | 70– | Total Number of Students |
---|---|---|---|---|---|---|---|

Number of Students | 4 | 6 | 2 | 7 | 3 | 9 | 31 |

**Q18: **

The table shows the distribution of exam marks in mathematics of 73 students. Complete the table by finding the value of .

Mark | 0–4 | 5–9 | 10–14 | 15–19 | 20–24 | 25–29 | 30– | Total |
---|---|---|---|---|---|---|---|---|

Frequency | 6 | 5 | 6 | 15 | 11 | 12 | 73 |

**Q19: **

The table shows the marks that a class of students received in their mathematics test. Complete the table.

Marks | 0–1 | 2–3 | 4–5 | 6–7 | 8– | Total |
---|---|---|---|---|---|---|

Frequency | 7 | 16 | 12 | 16 | 9 |

**Q20: **

Complete the table which shows the results from a questionnaire given to 60 university students.

Hours studied per day | 2–3 | 4–5 | 6–7 | 8–9 | 10– | Total |
---|---|---|---|---|---|---|

Number of students | 12 | 15 | 14 | 13 | 60 |

**Q21: **

The table shows the wages of factory workers. What is the minimum weekly wage at the factory?

Weekly Wages (LE) | 40–49 | 50–59 | 60–69 | 70–79 | 80–89 | 90–99 | 100– | Total Number of Workers |
---|---|---|---|---|---|---|---|---|

Number of Workers | 7 | 6 | 13 | 13 | 4 | 10 | 3 | 56 |

**Q22: **

The table shows donations made by students to a charity. How many students made donations of or more?

Donation in Pounds | 20–29 | 30–39 | 40–49 | 50–49 | 60–69 | 70– | Total Number of Students |
---|---|---|---|---|---|---|---|

Number of Students | 13 | 7 | 2 | 8 | 6 | 3 | 39 |

**Q23: **

The table shows donations made by students to a charity. How many students made donations of less than 70 pounds?

Donation in Pounds | 20–29 | 30–39 | 40–49 | 50–59 | 60–69 | 70– | Total Number of Students |
---|---|---|---|---|---|---|---|

Number of Students | 9 | 7 | 12 | 3 | 2 | 4 | 37 |

**Q24: **

The table shows the wages of factory workers. How many workers earn less than 90 LE a week?

Weekly Wages (LE) | 80–89 | 90–99 | 100–109 | 110–119 | 120–129 | 130–139 | 140– | Total Number of Workers |
---|---|---|---|---|---|---|---|---|

Number of Workers | 18 | 6 | 4 | 6 | 6 | 4 | 12 | 56 |

**Q25: **

The table shows the wages of factory workers. How many workers earn 110–119 LE in a week?

Weekly Wages (LE) | 80–89 | 90–99 | 100–109 | 110–119 | 120–129 | 130–139 | 140– | Total Number of Workers |
---|---|---|---|---|---|---|---|---|

Number of Workers | 5 | 2 | 4 | 13 | 3 | 10 | 19 | 56 |