[Top Answer] MATH225N – Week 3 Assignment Quartiles and Box Plots

Description

Week 3: Measures of Central Tendency and Variation

 

Week	Assignments	Due Date
Week 3	Graded Discussion	Suggested Due Date— Initial Post:  Wednesday of Week 3   Due Date— Responses:  Sunday of Week 3 [Have two posts on two different days]
	Knewton Homework Assignments Measures of Central Tendency (Section 2.3) Understanding Measures of Central Tendency (Section 2.3 & 2.4) Distribution Shape (Section 2.6) Standard Deviation (Section 2.7) Quartiles and Box Plots (Section 2.2)	Sunday of Week 3
	Lab #1—Displaying Data	Sunday of Week 3

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Week 3 Assignment – Quartiles and Box Plots

Objectives

3.5 Quartiles and Box Plots

• Find the five-number summary of a data set
• Identify the interquartile range and potential outliers in a set of data
• Construct and understand box-and-whisker plots

Activity 1

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.

Answer

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Activity 2

Question

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

Value	Frequency
3	1
4	3
6	3
8	1
9	3
10	2
11	2
12	1
14	3

 

Answer

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Activity 3

Question

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

You may need to scroll down to view the entire table.

Value	Frequency
4	1
5	2
7	3
8	1
9	2
10	2
11	1
12	1
13	3
14	3

 

Answer

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Activity 4

Question

Given the following list of data, what is the five-number summary?
4, 4, 4, 5, 5, 7, 8, 9, 10, 10, 10, 10, 11, 12, 13

Answer

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Activity 5

Question

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.

Answer

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Activity 6

Question

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

Select the correct answer below:

Answer

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Activity 7

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:

Answer

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Activity 8

Question

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

Provide your answer below:

Answer

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Activity 9

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

Answer

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Activity 10

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:

Answer

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Activity 11

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:

Answer

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Activity 12

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

Answer

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Activity 13

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.

Select all that apply:

Answer

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Activity 14

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:

Answer

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Activity 15

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.

Answer

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Activity 16

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:

Answer

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Activity 17

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:

Answer

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Activity 18

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:

Answer

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Activity 19

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:

Answer

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Activity 20

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

Answer

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Activity 21

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:

 

Answer

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Activity 22

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.

Answer

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Activity 23

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:

Answer

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Activity 24

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:

Answer

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