# Worksheet: The Mode of a Data Set

In this worksheet, we will practice finding and interpreting the mode of a data set.

**Q6: **

Which data set has a mode of 6?

- A6, 20, 20, 15
- B6, 20, 15, 15
- C6, 6, 15, 20
- D6, 20, 5, 15
- E6, 22, 14, 15

**Q7: **

Find the value of given that the mode of is 12.

**Q8: **

A group of students were selling boxes of cookies to raise money for a charity. The line plot shows how many boxes of cookies the students sold. Determine whether the mode would be a good measure of central tendency for the data or not, and explain why.

- ANo, the mode is not a good measure of central tendency because it is very high compared with the other data points.
- BYes, the mode closely represents the middle of the data.

**Q9: **

Emma cycles 20 miles every Monday, 13 miles every Wednesday, and 17 miles every Friday. Describe how the mode would be affected if Emma adds a 24-mile bike ride every Saturday.

- AThe mode would remain unchanged at 17.
- BThere would be a mode of 24 instead of no mode.
- CThe mode would increase from 13 to 24.
- DThe mode would decrease from 24 to 13.
- EThere is no mode either way.

**Q10: **

The table shows Jacobβs savings per day. Describe how the mode would be affected if the $14.90 savings were not included.

Day | Saturday | Sunday | Monday | Tuesday | Wednesday | Thursday |
---|---|---|---|---|---|---|

Savings | $6.60 | $11.40 | $12.30 | $8.00 | $9.00 | $14.90 |

- AThere is no mode either way.
- BThe mode would remain unchanged.
- CThe mode would increase.
- DThe mode would decrease.

**Q11: **

Charlotte measured the heights of 5 of her toys. They were 10 inches, 6 inches, 6 inches, 4 inches, and 3 inches.

What is the mode of the toysβ heights?

**Q12: **

The table shows the average temperature of a city on each day in AprilΒ 2016. Find the mode of the temperatures.

24 | 23 | 29 | 29 | 26 | 26 | 23 | 28 | 24 | 26 |

29 | 26 | 26 | 24 | 24 | 23 | 23 | 29 | 27 | 26 |

29 | 24 | 24 | 25 | 29 | 29 | 27 | 28 | 25 | 25 |

**Q13: **

Determine all the modes, if there are any, of the following data set: 4.1, 5.3, 2.4, 2.7, 8.7, 8.2, 4.5, 9.6, 5.9, 5.1, 7.6.

- A8.2
- B8.7
- C2.7 , 9.6
- Dnone

**Q14: **

Find given that the mode of is 10.

**Q15: **

What is the mode of the following numbers: 3, 9, 2, 2, 2, 9?

**Q16: **

Find given that the mode of is .

**Q17: **

Given that the mode of the values 16, 8, 11, and is 16, find the value of .

**Q18: **

The table shows the weights of 20 primary school students. Find the mode weight of the students.

36 | 41 | 33 | 34 | 42 |

36 | 33 | 40 | 38 | 36 |

35 | 36 | 33 | 35 | 35 |

30 | 34 | 33 | 33 | 32 |

**Q20: **

The table shows the marks out of 10 that students scored in a test. How many students scored lower than the modal mark?

Liam | 5 | 6 | 7 | 8 | 9 | 10 |
---|---|---|---|---|---|---|

Frequency | 2 | 11 | 14 | 7 | 4 | 1 |

**Q21: **

Over a period of 15 days, temperatures were measured and recorded in the given table. Is 14 degrees the most recurrent temperature?

1 | 1 | 7 | 1 | 1 |

11 | 8 | 14 | 1 | 8 |

2 | 1 | 11 | 1 | 1 |

- Ayes
- Bno

**Q22: **

Two values are missing from the shown data set. Given that the mode 35 and the data is listed in ascending order, find the missing values.

- A42, 42
- B35, 42
- C7, 42
- D7, 35
- E35, 35

**Q23: **

The table shows the distribution of marks 40 students attained in an exam. Find the mode number of marks.

Mark | 2β5 | 6β9 | 10β13 | 14β17 | 18β21 | 22β25 | 26β | Total |
---|---|---|---|---|---|---|---|---|

Frequency | 2 | 3 | 4 | 11 | 8 | 7 | 5 | 40 |

**Q24: **

The line plot shows the magnitudes of several recent earthquakes. Find all the modal values of the data.

- A3.5
- B3.1
- C2.2, 3.1
- D3.2
- E2.2