# Worksheet: Mean, Median, and Mode

In this worksheet, we will practice finding the mean, median, or mode of a set of data.

**Q1: **

The table shows the average April rainfall, in inches, for 12 cities. If another city, with the value 2.1, is added to this list, which of the following would be true?

4.5 | 2.1 | 4.4 | 2.1 | 3.2 | 3.9 |

1.9 | 2.3 | 1.3 | 2.8 | 3.0 | 3.1 |

- AThe mean would decrease.
- BThe mode would decrease.
- CThe median would increase.
- DThe mean would increase.

**Q4: **

Liam wants to know the most popular age at which to ride on a particular roller coaster in a theme park. Should he calculate the mean, median, or modal age of the riders?

- AModal age
- BMean age
- CMedian age

**Q5: **

Find the mean, median, and mode of the following set of daily temperatures: , , , , , , , .

- Amean, median, mode
- Bmean, median, mode
- Cmean, median, mode
- Dmean, median, mode
- Emean, median, mode

**Q9: **

This bar chart shows the yearly membership of a robotics club from 2001 to 2005. Find the mean, median, mode, and range of the data.

- AMean: 38, median: 31, mode: 31, range: 21
- BMean: 38, median: 31, mode: 50, range: 19
- CMean: 47, median: 31, mode: 29, range: 20
- DMean: 38, median: 49, mode: 31, range: 22
- EMean: 31, median: 38, mode: 31, range: 21

**Q10: **

David wants to find out the average age of people who go swimming on a Saturday morning. He records the following data on a particular Saturday morning: 5, 12, 24, 19, 64, 38, 71, 13, 14, 41, 3.

Calculate the mean of the data giving your answer accurate to one decimal place.

Calculate the median of the data.

Calculate the mode of the data.

- A27.6
- B3
- C71
- D19
- EThere is no mode.

Calculate the range of the data.

**Q11: **

The table shows the salaries, in thousands of dollars, of ten employees in a company.

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

22 | 24 | 30 | 19 | 95 | 31 | 25 | 96 | 20 | 23 |

Calculate the mean salary in dollars.

Calculate the median salary in dollars.

Which of these two measures of central tendency more accurately reflects the **majority** of the data?

- AThe median
- BThe mean

**Q12: **

The number of books read each month by students in a grade 5 class and a grade 11 class are shown in the given frequency tables.

Number of Books (Grade 5) | Frequency | Number of Books (Grade 11) | Frequency |
---|---|---|---|

0 | 0 | 0 | 6 |

1 | 1 | 1 | 7 |

2 | 1 | 2 | 8 |

3 | 6 | 3 | 4 |

4 | 9 | 4 | 2 |

5 | 6 | 5 | 1 |

6 | 1 | 6 | 0 |

7 | 0 | 7 | 1 |

8 | 2 | 8 | 0 |

9 | 0 | 9 | 0 |

10 | 1 | 10 | 0 |

What is the most frequently occurring number of books read per month by grade 5 students?

- A4
- B10
- C5
- D9

What is the median of the data for the grade 5 class?

- A10 books
- B9 books
- C4 books
- D5 books

What is the most frequently occurring number of books read per month by grade 11 students?

What is the median of the data for the grade 11 class?

- A8 books
- B2 books
- C5 books
- D0 books

Based on the data in the tables, which of the following is a valid statement about the number of books read each month by the students in grades 5 and 11?

- AStudents in grade 11 do not like reading.
- BStudents in grade 5 read fewer books than students in grade 11.
- CStudents in grade 11 read fewer books than students in grade 5.
- DStudents in grade 5 read shorter books than students in grade 11.

**Q13: **

The ages of people who attend a parent and toddler group are recorded as follows: 2, 3, 29, 31, 4, 33, 2, 2, 1, 40, 3, 3, 24, 31.

Calculate the mean age, giving your answer to one decimal place.

Calculate the median age.

Calculate the modal age.

- A3
- B1 and 40
- C2 and 3
- D3.5
- E2

Calculate the range of ages.

In this instance, given that none of the values would be considered outliers and taking into account the value of the range, which of the three measures of central tendency would be most informative of the **whole** data set?

- AThe median
- BThe mean
- CThe mode

**Q14: **

The data set shows the number of tomatoes growing on each tomato plant in a garden.

7 | 12 | 8 | 3 | 0 | 4 | 4 | 6 | 5 |

Find the median of the data.

Calculate the mean of the data, giving your answer correct to the nearest integer.

Find the mode of the data.

**Q15: **

Find the mean, median, and mode for the following data set: 26, 19, 55, 27, 14, 18, 26, 10, 42, 40, 33, 5.

- Amean = 26.25, median = 26, mode=26
- Bmean = 26, median = 26, mode = 40
- Cmean = 26, median = 23, mode = 26
- Dmean = 29, median = 23, mode = 40
- Emean = 29, median = 26, mode = 26

**Q17: **

Two values are missing from the shown data set. Given that the median is 67, the range is 44, and the data is listed in ascending order, find the missing values.

- A72, 76
- B72, 87
- C70, 87
- D74, 87
- E62, 76

**Q18: **

Which of the following sets of data has a median of 45, a range of 57, and a mode of 45?

- A25, 67, 19, 45, 45, 77
- B26, 67, 20, 45, 44, 77
- C26, 26, 45, 77, 20, 76
- D26, 67, 20, 20, 20, 45
- E67, 45, 26, 77, 20, 45

**Q19: **

Find a set of two positive and three negative integers for which the mean, median, and mode are all .

- A, , , 10, 11
- B, , , 10, 11
- C, , , 10, 21
- D, , 10, 21,
- E, , , 10,

**Q20: **

What does the mean measure? What is the range a method of?

- Acentral tendency, collecting data
- Bdispersion, collecting data
- Ccentral tendency, dispersion
- Ddispersion, central tendency

**Q23: **

Four values are missing from the shown data set. Given that the mode is 83, the mean is 48, the median is 42, and the data is listed in ascending order, find the missing values.

- A13, 35, 35, 83
- B13, 13, 47, 83
- C13, 83, 83, 83
- D13, 47, 83, 83
- E5, 13, 83, 83

**Q24: **

The given line plot shows the magnitudes of earthquakes that recently took place around the world. Determine the mean and the median of the data.

- AMean , median
- BMean , median
- CMean , median
- DMean , median
- EMean , median