Question 1

How do you calculate the interquartile range for a data set?

Accepted Answer

The interquartile range (IQR) is the range between the upper quartile (Q3) and the lower quartile (Q1). Therefore, the correct method is to subtract the value of the lower quartile from the upper quartile.

Question 2

Suppose you look at two boxplots comparing the weights of male cats vs.female cats, and you find that the box for the males is much wider than the box for the females.What does this mean about the data sets?

Accepted Answer

A wider box in a boxplot indicates a larger interquartile range, which means there is more variability in the data for that group. Therefore, it can be concluded that male cats have more variability in their weights than female cats. This does not necessarily imply that male cats weigh more than female cats overall. Skewness cannot be determined from the width of the box alone.

Question 3

Which of the following does not require the data to be ordered before you can get the right answer?

Accepted Answer

The mean is calculated by summing all data points and dividing by the number of points, and does not require the data to be ordered.

Question 4

For Questions , use the following narrative
Narrative: Acceptance rates
A random sample of 50 colleges and universities in the U.S.was selected, and acceptance rates were recorded for each school (percentage of student applicants who were accepted to the school).The following five-number summary was calculated for this data set: lowest = 17; lower quartile = 25.75; median = 36; upper quartile = 47.75; highest = 67.
-{Acceptance rates narrative} Describe the center of this data set in words a prospective student would understand.

Accepted Answer

The answer of For Questions , use the following narrative
Narrative:...

Question 5

For Questions , use the following narrative
Narrative: Acceptance rates
A random sample of 50 colleges and universities in the U.S.was selected, and acceptance rates were recorded for each school (percentage of student applicants who were accepted to the school).The following five-number summary was calculated for this data set: lowest = 17; lower quartile = 25.75; median = 36; upper quartile = 47.75; highest = 67.
-{Acceptance rates narrative} Find the range of the acceptance rates and give one possible reason that it is such a high number.

Accepted Answer

The answer of For Questions , use the following narrative
Narrative:...

Question 6

Name two uses of a boxplot.

Accepted Answer

The answer of Name two uses of a boxplot....

Question 7

Which of the following is not included in the five-number summary?

Accepted Answer

The five-number summary includes the minimum value, the lower quartile, the median, the upper quartile, and the maximum value. The mean is not included in the five-number summary.

Question 8

For Questions , use the following narrative
Narrative: Liberal arts costs
A random sample of 25 liberal arts colleges in the U.S.was selected, and the average cost per student was recorded for each school.The following five-number summary was calculated for this data set: lowest = $17,554; lower quartile = $23,115; median = $26,668; upper quartile = $45,879; highest = $102,262.
-{Liberal arts costs narrative} Using the definition of outlier discussed in your textbook, is there an outlier in this data set? Explain your answer.

Accepted Answer

The answer of For Questions , use the following narrative
Narrative:...

Question 9

A(n) __________ is any value that is more than 1.5 times the IQR from the closest end of the box in a boxplot.

Accepted Answer

The answer of A(n) __________ is any value that is...

Question 10

For Questions , use the following narrative
Narrative: Acceptance rates
A random sample of 50 colleges and universities in the U.S.was selected, and acceptance rates were recorded for each school (percentage of student applicants who were accepted to the school).The following five-number summary was calculated for this data set: lowest = 17; lower quartile = 25.75; median = 36; upper quartile = 47.75; highest = 67.
-{Acceptance rates narrative} Describe the shape of this data based on the five-number summary.

Accepted Answer

The answer of For Questions , use the following narrative
Narrative:...

Question 11

A five-number summary involves the lower quartile, the upper quartile, the lowest number, the highest number, and the __________.

Accepted Answer

The answer of A five-number summary involves the lower quartile,...

Question 12

If the width of a box in a boxplot is very large, compared to the rest of the boxplot, what does that mean about the shape of the data set?

Accepted Answer

A wide box indicates that there is a large range of values within the middle 50% of the data (the interquartile range), meaning that the data are very spread out in the middle.

Question 13

The __________ is the distance between the lower and upper quartiles in a boxplot.

Accepted Answer

The answer of The __________ is the distance between the...

Question 14

What are the five numbers used in a five-number summary?

Accepted Answer

The answer of What are the five numbers used in...

Question 15

For Questions , use the following narrative
Narrative: Liberal arts costs
A random sample of 25 liberal arts colleges in the U.S.was selected, and the average cost per student was recorded for each school.The following five-number summary was calculated for this data set: lowest = $17,554; lower quartile = $23,115; median = $26,668; upper quartile = $45,879; highest = $102,262.
-{Liberal arts costs narrative} Make a boxplot of this data set and use it to discuss the shape of the data.

Accepted Answer

The answer of For Questions , use the following narrative
Narrative:...

Question 16

Suppose that in a five-number summary you find that a larger gap exists between the extremes and the quartiles than between the quartiles and the median.What does this mean about the shape of the data set?

Accepted Answer

When there's a larger gap between the extremes and the quartiles than between the quartiles and the median, it indicates that the data are more concentrated around the median, suggesting that the data are clumped in the middle.

Question 17

The __________ are the medians of the two halves of an ordered data set.

Accepted Answer

The answer of The __________ are the medians of the...

Question 18

Suppose that in a five-number summary you find that a larger gap exists between the third quartile and the highest value than between the lowest value and the first quartile.What does this mean about the shape of the data set?

Accepted Answer

If the gap between the third quartile and the highest value is larger than the gap between the lowest value and the first quartile, it indicates that there are more extreme values on the higher end of the data set. This suggests that the data set is skewed right.

Question 19

Which of the following can not be obtained from a boxplot?

Accepted Answer

A boxplot only displays the median, quartiles, minimum and maximum values, and potential outliers. The mean cannot be obtained from a boxplot.

Question 20

Describe which numerical summaries (statistics) of a dataset a boxplot is based upon.

Accepted Answer

The answer of Describe which numerical summaries (statistics) of a...

Quiz 7: Summarizing and Displaying Measurement Data

How do you calculate the interquartile range for a data set?

Suppose you look at two boxplots comparing the weights of male cats vs.female cats, and you find that the box for the males is much wider than the box for the females.What does this mean about the data sets?

Which of the following does not require the data to be ordered before you can get the right answer?

Name two uses of a boxplot.

Which of the following is not included in the five-number summary?

A(n) __________ is any value that is more than 1.5 times the IQR from the closest end of the box in a boxplot.

A five-number summary involves the lower quartile, the upper quartile, the lowest number, the highest number, and the __________.

If the width of a box in a boxplot is very large, compared to the rest of the boxplot, what does that mean about the shape of the data set?

The __________ is the distance between the lower and upper quartiles in a boxplot.

What are the five numbers used in a five-number summary?

Suppose that in a five-number summary you find that a larger gap exists between the extremes and the quartiles than between the quartiles and the median.What does this mean about the shape of the data set?

The __________ are the medians of the two halves of an ordered data set.

Suppose that in a five-number summary you find that a larger gap exists between the third quartile and the highest value than between the lowest value and the first quartile.What does this mean about the shape of the data set?

Which of the following can not be obtained from a boxplot?

Describe which numerical summaries (statistics) of a dataset a boxplot is based upon.