Question 1
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 |
Ans:
| Min | Q1 | Median | Q3 | Max |
| 9 | 11 | 14 | 16 | 18 |
| Min | Q1 | Median | Q3 | Max |
| 9 | 10 | 11 | 17 | 18 |
| Min | Q1 | Median | Q3 | Max |
| 9 | 11 | 15 | 16 | 18 |
| Min | Q1 | Median | Q3 | Max |
| 9 | 10 | 11 | 15 | 18 |
| Min | Q1 | Median | Q3 | Max |
| 9 | 10 | 13 | 15 | 18 |
Question 2
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 |
Ans:
Question 3
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?
Ans:
Question 4
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.
Ans:
Question 5
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 |
Ans:
| Min | Q1 | Median | Q3 | Max |
| 12 | 14 | 16 | 18 | 21 |
| Min | Q1 | Median | Q3 | Max |
| 12 | 15 | 17 | 18 | 21 |
| Min | Q1 | Median | Q3 | Max |
| 12 | 15 | 18 | 20 | 21 |
| Min | Q1 | Median | Q3 | Max |
| 12 | 13 | 14 | 20 | 21 |
| Min | Q1 | Median | Q3 | Max |
| 12 | 15 | 16 | 18 | 21 |
Question 6
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.
Ans:
Question 7
A data set lists the number of times each student raised their hand during an algebra class. For this data set, the minimum is 1, the first quartile is 8, the median is 10, the interquartile range is 3, and the maximum is 13. Construct a box-and-whisker plot that shows the number of times students raised their hand.
Ans:
Question 8
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 |
Ans:
| Min | Q1 | Median | Q3 | Max |
| 8 | 9 | 12 | 13 | 16 |
| Min | Q1 | Median | Q3 | Max |
| 8 | 10 | 11 | 12 | 16 |
| Min | Q1 | Median | Q3 | Max |
| 8 | 10 | 11 | 13 | 16 |
| Min | Q1 | Median | Q3 | Max |
| 8 | 10 | 11 | 15 | 16 |
Question 9
The following frequency table summarizes a set of data. What is the five-number summary?
| Value | Frequency |
| 7 | 2 |
| 8 | 3 |
| 10 | 2 |
| 11 | 1 |
| 13 | 2 |
| 14 | 2 |
| 16 | 1 |
| 17 | 2 |
Ans:
| Min | Q1 | Median | Q3 | Max |
| 7 | 8 | 11 | 14 | 17 |
| Min | Q1 | Median | Q3 | Max |
| 7 | 11 | 12 | 13 | 17 |
| Min | Q1 | Median | Q3 | Max |
| 7 | 8 | 13 | 15 | 17 |
| Min | Q1 | Median | Q3 | Max |
| 7 | 9 | 12 | 13 | 17 |
| Min | Q1 | Median | Q3 | Max |
| 7 | 8 | 9 | 16 | 17 |
Question 10
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.
Ans:
Question 11
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.
Ans: 6, 42, 97, 111, 116
Question 12
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.
Ans:
Question 13
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.
Ans:
Solution
Question 1
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 |
Ans:
| Min | Q1 | Median | Q3 | Max |
| 9 | 11 | 14 | 16 | 18 |
| Min | Q1 | Median | Q3 | Max |
| 9 | 10 | 11 | 17 | 18 |
| Min | Q1 | Median | Q3 | Max |
| 9 | 11 | 15 | 16 | 18 |
| Min | Q1 | Median | Q3 | Max |
| 9 | 10 | 11 | 15 | 18 |
| Min | Q1 | Median | Q3 | Max |
| 9 | 10 | 13 | 15 | 18 |
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