**Week 3 Assignment Quartiles and Box Plots**

**Question**

A data set lists the number of daily emails received by employees at an office over the past few months. For this data set, the minimum is 1, the first quartile is 2, the median is 4, the third quartile is 5, and the maximum is 13. Construct a box-and-whisker plot that shows the number of emails.

Provide your answer below:

Correct Answer

**Question**

Based on the box-and-whisker plot from the solution above, what is the interquartile range of the data?

Provide your answer below:

**Question**

The following frequency table summarizes a set of data. What is the five-number summary?

Value | Frequency |

12 | 2 |

13 | 1 |

14 | 1 |

15 | 4 |

17 | 5 |

18 | 2 |

19 | 3 |

21 | 1 |

**Question**

Given the following list of data, what is the five-number summary?

2, 6, 6, 7, 7, 8, 9, 10, 10, 11, 12, 12, 12, 13, 13

Select the correct answer below:

**Question**

Given the following frequency table of data, what is the potential outlier?

Value | Frequency |

11 | 1 |

12 | 2 |

13 | 12 |

14 | 6 |

15 | 7 |

16 | 2 |

17 | 0 |

18 | 0 |

19 | 0 |

20 | 0 |

21 | 0 |

22 | 0 |

23 | 1 |

Select the correct answer below:

**Question**

The following frequency table summarizes a set of data. What is the five-number summary?

Value | Frequency |

9 | 3 |

10 | 3 |

11 | 1 |

13 | 3 |

14 | 1 |

15 | 5 |

16 | 1 |

17 | 1 |

18 | 1 |

Question

A data set lists the number of hours each student, from a finance class, studied for a midterm. For this data set, the minimum is 3, the median is 6, the third quartile is 9, the interquartile range is 5, and the maximum is 17. Construct a box-and-whisker plot that shows the number of hours studied. Begin by first placing the middle dot on the median. Then work on placing the rest of the points starting with the ones closest to the median.

Provide your answer below:

Correct Answer

**Question**

A data set lists the number of extra credit points awarded on midterm scores of 15 students taking a statistics course. For this data set, the minimum is 3, the median is 15, the third quartile is 16, the interquartile range is 4, and the maximum is 19. Construct a box-and-whisker plot that shows the extra credit points awarded.

Correct Answer

**Question**

The five number summary for a set of data is given below.

Min | Q1 | Median | Q3 | Max |

67 | 68 | 80 | 81 | 86 |

What is the interquartile range of the set of data?

Select the correct answer below:

**Question**

The five number summary for a set of data is given below.

Min | Q1 | Median | Q3 | Max |

54 | 56 | 80 | 86 | 87 |

Using the interquartile range, which of the following are outliers? Select all correct answers.

Select all that apply:

**Question**

A data set lists the number of extra credit points awarded on midterm scores of 15 students taking a statistics course. For this data set, the minimum is 3, the median is 15, the third quartile is 16, the interquartile range is 4, and the maximum is 19. Construct a box-and-whisker plot that shows the extra credit points awarded.

Provide your answer below:

**Question**

The following frequency table summarizes a set of data. What is the five-number summary?

Value | Frequency |

8 | 2 |

9 | 1 |

10 | 2 |

11 | 3 |

12 | 4 |

13 | 1 |

14 | 1 |

16 | 1 |

Select the correct answer below:

**Question**

The following frequency table summarizes a set of data. What is the five-number summary?

Value | Frequency |

7 | 2 |

8 | 3 |

9 | 2 |

10 | 3 |

11 | 3 |

13 | 1 |

14 | 1 |

Select the correct answer below

Question

The five number summary for a set of data is given below.

Min | Q1 | Median | Q3 | Max |

68 | 70 | 74 | 80 | 88 |

What is the interquartile range of the set of data?

Enter just the number as your answer. For example, if you found that the interquartile range was 25, you would enter 25.

Provide your answer below:

**Question**

The five number summary for a set of data is given below.

Min | Q1 | Median | Q3 | Max |

76 | 84 | 89 | 98 | 99 |

Using the interquartile range, which of the following are outliers? Select all correct answers.

**Question**

A data set lists the number of hours each student, from a chemistry class, studied for a final exam. For this data set, the minimum is 1, the median is 11, the third quartile is 12, the interquartile range is 4, and the maximum is 15. Construct a box-and-whisker plot that shows the number of hours studied.

Provide your answer below:

**Question**

A data set lists the number of times a machine breaks each month in a clothing factory over the past year. For this data set, the minimum is 4, the median is 14, the third quartile is 17, the interquartile range is 6, and the maximum is 18. Construct a box-and-whisker plot that shows the number of times the machine breaks.

Provide your answer below:

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