# (Solved) Math225 Week 3 Assignment: Quartiles and Box Plots

Question

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

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.

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?

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.

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.

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

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

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

Question

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

 Min Q1 Median Q3 Max 4 55 68 69 137

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

Question

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

 Min Q1 Median Q3 Max 52 53 60 67 88

What is the interquartile range of the set of data?

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.

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.

# Solution:

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