# 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 |

- A The median would increase.
- B The mode would decrease.
- C The mean would decrease.
- D The mean would increase.

**Q3: **

Last month, Daniel scored 82, 61, 86, and 82 in his English quizzes. If his lowest score was to be dropped, which of the following would increase?

- Amean
- Bmedian
- Cmode

**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
- BMedian age
- CMean 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

**Q6: **

The scores earned on a math test are 86, 80, 76, 68, 73, 85, 74, 70, 71, and 70. Find the mean, median, and mode for the set of data.

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

**Q7: **

The lengths of several poles, in feet, are 30, 44, 60, 64, and 34. If a pole with a length of 28 is added to this list, which of the following statements would be true?

- A The range would decrease.
- B The median would increase.
- C The median would decrease.
- D The mean would increase.

**Q9: **

This bar chart shows the yearly membership of a robotics club from 2,001 to 2,005. Find the mean, median, mode, and range of the data.

- Amean: 38, median: 31, mode: 50, range: 19
- Bmean: 38, median: 49, mode: 31, range: 22
- Cmean: 31, median: 38, mode: 31, range: 21
- Dmean: 47, median: 31, mode: 29, range: 20
- Emean: 38, median: 31, 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
- B71
- C3
- DThere is no mode.
- E19

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?

- A9
- B5
- C4
- D10

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

- A4 books
- B9 books
- C5 books
- D10 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?

- A2 books
- B0 books
- C8 books
- D5 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 shorter books than students in grade 11.
- CStudents in grade 11 read fewer books than students in grade 5.
- DStudents in grade 5 read fewer 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.

- A3.5
- B2
- C2 and 3
- D1 and 40
- E3

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 mode
- BThe median
- CThe mean

**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

**Q16: **

A set of four numbers has a range of 7, a median of 13, and a mode of 16. Given that the highest number is also the mode, what are the four numbers?

- A10, 10, 16, 16
- B9, 11, 17, 17
- C9, 10, 16, 16
- D9, 11, 16, 16

**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
- C62, 76
- D74, 87
- E70, 87

**Q18: **

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

- A26, 26, 45, 77, 20, 76
- B26, 67, 20, 20, 20, 45
- C25, 67, 19, 45, 45, 77
- D67, 45, 26, 77, 20, 45
- E26, 67, 20, 45, 44, 77

**Q19: **

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

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

**Q20: **

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

- Adispersion, central tendency
- Bdispersion, collecting data
- Ccentral tendency, collecting data
- Dcentral tendency, dispersion

**Q22: **

Which of the following sets of data has a mode of 48 and a median of 20?

- A20, 48, 48, 11, 11, 19
- B10, 16, 19, 21, 47, 47
- C48, 21, 11, 48, 20, 17
- D47, 47, 11, 48, 20, 17
- E21, 48, 19, 48, 17, 11

**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