[Solved] MATH225N Week 3 Assignment: Quartiles and Box Plots

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

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

Value Frequency
15 1
16 0
17 3
18 4
19 6
20 10
21 3
22 2
23 1
24 0
25 0
26 0
27 0
28 0
29 0
30 1

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

A data set lists the number of times randomly sampled professional weight lifters went to the gym in the last week. For this data set, the minimum is 4, the first quartile is 14, the median is 16, the third quartile is 18, and the maximum is 20. Construct a box-and-whisker plot that shows the number of times weight lifters went to the gym.

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:

Min Q1 Median Q3 Max
9 10 13 15 18

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.

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?

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

Answer:

Min Q1 Median Q3 Max
8 10 11 12 16

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

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.

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.

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.

 

Solution

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

Answer:

Min Q1 Median Q3 Max
2 7 10 12 13

A data set lists the number of times randomly sampled professional weight lifters went to the gym in the last week. For this data set, the minimum is 4, the first quartile is 14, the median is 16, the third quartile is 18, and the maximum is 20. Construct a box-and-whisker plot that shows the number of times weight lifters went to the gym.

Answer Explanation

Remember that the box-and-whisker plot represents the five number summary of a set of data. So the left end of the left whisker is the minimum value (4), the left edge of the box is the first…………….please follow the link below to purchase the solution at $5