# Worksheet: Grouped Frequency Tables: Estimating the Mean

In this worksheet, we will practice estimating the mean using grouped frequency tables.

**Q1: **

The table shows students’ math test scores.

Scores | 0–10 | 11–21 | 22–32 | 33–43 | 44–54 |
---|---|---|---|---|---|

Frequency | 2 | 5 | 30 | 10 | 3 |

Work out an estimation for the mean of the scores.

**Q2: **

The following table represents the time taken by 35 people to travel to work.

Time (Minutes) | ||||
---|---|---|---|---|

Frequency | 10 | 15 | 7 | 3 |

Calculate an estimation for the mean number of minutes people take to travel to work. Round your answer to two decimal places.

**Q3: **

In an extract of a book, the number of words per sentence was counted. Find the missing numbers in the following table.

Number of Words | Frequency | Midpoint | Frequency Midpoint |
---|---|---|---|

1–7 | 15 | 4 | 60 |

8–14 | 20 | ||

15–21 | 45 | 18 | 810 |

22–28 | 47 | 25 | 1,175 |

29–35 | 23 | 32 | 736 |

36–42 | 10 | 39 | 390 |

- A14, 280
- B8, 160
- C12, 240
- D10, 200
- E11, 220

Use the previous table to calculate an estimate for the mean number of words. Give your answer to two decimal places.