Title: Box and Whisker Plots
Course: quiz duplicate error

Q: The box-and-whisker plot below shows the number of sit-ups that a physical education class performed during a one-month physical fitness unit.

Number of Class Sit-ups
[Image]

What statement can accurately be made about the box-and-whisker plot?
- The students in the physical education class performed a minimum of 25 sit-ups. (The five dots on a box-and-whisker plot represent, in order from left to right, the minimum value, the first quartile, the median, the third quartile, and the maximum. The mean does not show up on a box-and-whisker plot.)
- The students in the physical education class performed an average (mean) of 90 sit-ups. (The five dots on a box-and-whisker plot represent, in order from left to right, the minimum value, the first quartile, the median, the third quartile, and the maximum. The mean does not show up on a box-and-whisker plot.)
- The students in the physical education class performed a median of 38 sit-ups. (The five dots on a box-and-whisker plot represent, in order from left to right, the minimum value, the first quartile, the median, the third quartile, and the maximum. The mean does not show up on a box-and-whisker plot.)
- The students in the physical education class performed a maximum of 90 sit-ups. (The five dots on a box-and-whisker plot represent, in order from left to right, the minimum value, the first quartile, the median, the third quartile, and the maximum. The mean does not show up on a box-and-whisker plot.)
A: The students in the physical education class performed a minimum of 25 sit-ups.

Q: Compare the data sets by making two box-and-whisker plots above one number line.

Set X: 14, 11, 7, 1, 5, 4, 6, 13, 2, 12, 13, 4, 3, 14, 15, 15
Set Y: 10, 9, 7, 4, 11, 15, 15, 8, 6, 9, 4, 10, 7, 13, 4, 5
- [Image]
- [Image]
- [Image]
- [Image]
A: [Image]

Q: The plot below represents the distribution of the number of students who buy lunch each day over the period of a month in Ms. Zander’s 4th-grade class.

Number of Students Buying Lunch per Day During the Month
[Image]

Which of the following would NOT be a good observation about this data?
- There were less than 9 lunch buyers on half of the days of the month. (The only statement that does not make sense is: “There are usually less than 5 lunch buyers.”)
- There are usually less than 5 lunch buyers. (The only statement that does not make sense is: “There are usually less than 5 lunch buyers.”)
- The average is likely between 7 and 13. (The only statement that does not make sense is: “There are usually less than 5 lunch buyers.”)
- The range of this data is 12. (The only statement that does not make sense is: “There are usually less than 5 lunch buyers.”)
A: There are usually less than 5 lunch buyers.

Q: The plot below represents the distribution of the number of students who buy lunch each day over the period of a month in Ms. Zander’s 4th-grade class.

Number of Students Buying Lunch per Day During the Month
[Image]

Which of the following would NOT be a good observation about this data? (Please notice that you are looking for something that is NOT a good observation.)
- There were less than 9 lunch buyers on half of the days of the month. (The only statement that does not make sense is: “There are usually less than 5 lunch buyers.”)
- There are usually less than 5 lunch buyers. (The only statement that does not make sense is: “There are usually less than 5 lunch buyers.”)
- The average is likely between 7 and 13. (The only statement that does not make sense is: “There are usually less than 5 lunch buyers.”)
- The range of this data is 12. (The only statement that does not make sense is: “There are usually less than 5 lunch buyers.”)
A: There are usually less than 5 lunch buyers.

Q: The box-and-whisker plot shows the masses, in grams, of several specimens of rock collected by a geologist. What is the range of the masses?

Mass (grams)
[Image]
- 35 (The median is the middle point in the box-and-whisker plot, or 42. The range is the difference between the largest mass and the smallest mass, or 58 – 23 = 35.)
- 33 (The median is the middle point in the box-and-whisker plot, or 42. The range is the difference between the largest mass and the smallest mass, or 58 – 23 = 35.)
- 36 (The median is the middle point in the box-and-whisker plot, or 42. The range is the difference between the largest mass and the smallest mass, or 58 – 23 = 35.)
- 12 (The median is the middle point in the box-and-whisker plot, or 42. The range is the difference between the largest mass and the smallest mass, or 58 – 23 = 35.)
A: 35

Q: The box-and-whisker plot shows the boiling points, in degrees Celsius, of several liquids. What is the median boiling point in the graph?

Boiling Point (°C)
[Image]
- 67°C (The median is the middle point in the box-and-whisker plot, or 75°C.)
- 24°C (The median is the middle point in the box-and-whisker plot, or 75°C.)
- 75°C (The median is the middle point in the box-and-whisker plot, or 75°C.)
- 48°C (The median is the middle point in the box-and-whisker plot, or 75°C.)
A: 75°C

Q: The box and whisker plot shows the number of seventh graders who volunteered each week at a summer camp this year.

Number of Student Volunteers
[Image]

Refer to the information above. What was the median number of seventh grade volunteers each week?
- 30 volunteers (The median is the middle point in the box-and-whisker plot. So the median is 19 student volunteers per week.)
- 19 volunteers (The median is the middle point in the box-and-whisker plot. So the median is 19 student volunteers per week.)
- 13 volunteers (The median is the middle point in the box-and-whisker plot. So the median is 19 student volunteers per week.)
- 22 volunteers (The median is the middle point in the box-and-whisker plot. So the median is 19 student volunteers per week.)
A: 19 volunteers

Q: Compare the data sets by making two box-and-whisker plots above one number line.

Grades of Class A: 71, 78, 95, 68, 91, 95, 85, 76, 94, 77, 79, 95, 82, 93, 92, 70
Grades of Class B: 86, 98, 99, 64, 80, 89, 63, 95, 70, 69, 81, 77, 72, 87, 96, 79
- [Image]
- [Image]
- [Image]
- [Image]
A: [Image]

The box-and-whisker plot shows the daily number of orders processed by an online company over the last 2 months. Would the mean or median be a more accurate measure of central tendency for the data? Explain.

Daily Orders Processed
[Image]

Q: The distribution of ages of participants at a summer camp is shown in the box-and-whisker plot below.

Age of Participants at a Summer Camp
[Image]

Which of the following statements is NOT correct about the data that this graph represents?
- The lowest age in this group is 2. (The high is actually 19. Therefore, the statement that is NOT correct about the data is “The highest age in this group is 20.”)
- The range of the ages in this group is 17. (The high is actually 19. Therefore, the statement that is NOT correct about the data is “The highest age in this group is 20.”)
- The highest age in this group is 20. (The high is actually 19. Therefore, the statement that is NOT correct about the data is “The highest age in this group is 20.”)
- The median age in this group is 10. (The high is actually 19. Therefore, the statement that is NOT correct about the data is “The highest age in this group is 20.”)
A: The highest age in this group is 20.

Q: The manager of a bowling alley organized the scores from the Friday night advanced league in a box-and-whisker plot. Which of the following statements is best supported by the plot?

Bowling Scores (pins)
[Image]
- The mean score for the night was 185 pins. (The five data points on the box-and-whisker plot represent the minimum, median, maximum, and quartile scores. The statement that the lowest score for the night was 150 pins is best supported by the plot.)
- The median score for the night was 165 pins. (The five data points on the box-and-whisker plot represent the minimum, median, maximum, and quartile scores. The statement that the lowest score for the night was 150 pins is best supported by the plot.)
- A total of 20 bowlers participated in the league. (The five data points on the box-and-whisker plot represent the minimum, median, maximum, and quartile scores. The statement that the lowest score for the night was 150 pins is best supported by the plot.)
- The lowest score for the night was 150 pins. (The five data points on the box-and-whisker plot represent the minimum, median, maximum, and quartile scores. The statement that the lowest score for the night was 150 pins is best supported by the plot.)
A: The lowest score for the night was 150 pins.

What is the median of the daily low temperatures displayed in the box-and-whisker plot?

Daily Low Temperatures (°F)
[Image]

Q: Use the two box-and-whisker plots to determine which statement is true.
[Image]
- They have the same median.
- They have the same range.
- The upper quartiles are equal.
- The lower quartiles are equal.
A: They have the same median.

Q: Use the two box-and-whisker plots to determine which statement is true.
[Image]
- They have the same median.
- They have the same range.
- The upper quartiles are equal.
- The lower quartiles are equal.
A: The lower quartiles are equal.

What is the range of the number of computers built as shown in the box-and-whisker plot?

Daily Number of Computers Manufactured
[Image]

What is the range of the data displayed in the box-and-whisker plot?
[Image]

Q: Draw the box-and-whisker plot for the data.

21  29  25  20  36  28  32  35  28  30  29  25  21  35  26  35  20  19
- [Image]
- [Image]
- [Image]
- none of these
A: [Image]

Q: Describe the data in the box-and-whisker plot.
[Image]
- The lowest value is 58.5 and the highest value is 74. The median is 67. At least half of the data are within 8.5 points of the median.
- The values range from 50 to 83. At least half of the data are within 7 points of the median, 67.
- The lowest value is 50 and the highest value is 83. The median is 67. At most half of the data are within 7 points of the median.
- The values range from 50 to 83. At least half of the data are within 8.5 points of the median, 67.
A: The values range from 50 to 83. At least half of the data are within 8.5 points of the median, 67.

Q: Describe the data in the box-and-whisker plot.
[Image]
- The lowest value is 58.5 and the highest value is 74. The median is 67. At least half of the data are within 8.5 points of the median.
- The values range from 50 to 83. At least half of the data are within 5 points of the median, 67.
- The lowest value is 50 and the highest value is 83. The median is 67. At most half of the data are within 5 points of the median.
- The values range from 50 to 83. At least half of the data are within 8.5 points of the median, 67.
A: The values range from 50 to 83. At least half of the data are within 8.5 points of the median, 67.

The box-and-whisker plot shows the volunteer service hours performed by students at Harrison Middle School last summer. What is the range, in hours, of the data set?

Volunteer Service Hours
[Image]

Students at Greenlawn School participated in the President’s Challenge, a program that encourages all Americans to make being active part of their everyday lives. Their results in the sit-ups event are summarized in the box-and-whisker plot below.

President’s Challenge Results
[Image]
Number of Sit-Ups Completed

Refer to the data above. How many sit-ups were done by the student who performed in the middle of the class?

Q: The ages of the people at a movie theater on a Thursday afternoon are shown in the box-and-whisker plot below. Which of the following statements is a correct interpretation of the plot?

Ages of Movie Goers
[Image]
- The median age of the movie goers is 19 years. (The data points represent the minimum, maximum, and median ages of the movie goers as well as the quartile value ages. So the statement that the youngest person at the theater is 8 years old is the only correct interpretation of the plot.)
- The oldest person at the theater is 57 years old. (The data points represent the minimum, maximum, and median ages of the movie goers as well as the quartile value ages. So the statement that the youngest person at the theater is 8 years old is the only correct interpretation of the plot.)
- The mean age of the movie goers is 36 years. (The data points represent the minimum, maximum, and median ages of the movie goers as well as the quartile value ages. So the statement that the youngest person at the theater is 8 years old is the only correct interpretation of the plot.)
- The youngest person at the theater is 8 years old. (The data points represent the minimum, maximum, and median ages of the movie goers as well as the quartile value ages. So the statement that the youngest person at the theater is 8 years old is the only correct interpretation of the plot.)
A: The youngest person at the theater is 8 years old.

Q: The box-and-whisker plot shows the daily high temperatures during a 10-day stretch in April. During this period, the mean temperature was 66.5°F, and the mode was 57°F. Which of the following statements is not true regarding the data?

High Temperatures (°F)
[Image]
- The mean temperature of 66.5°F is a good measure of central tendency since it is close to most of the data points. (There are a few high temperatures that skew the data in the plot to the right. Since the mean temperature of 66.5°F is greater than more than 75% of the data, it is not a very good measure of central tendency.)
- The mode of 57°F is not a good measure of central tendency since it is lower than the majority of the temperatures. (There are a few high temperatures that skew the data in the plot to the right. Since the mean temperature of 66.5°F is greater than more than 75% of the data, it is not a very good measure of central tendency.)
- The range in temperatures is 24°F. This represents a fairly large difference in high temperatures over a 10-day period. (There are a few high temperatures that skew the data in the plot to the right. Since the mean temperature of 66.5°F is greater than more than 75% of the data, it is not a very good measure of central tendency.)
- The median temperature of 62°F is a good measure of central tendency since it is close to most of the data points. (There are a few high temperatures that skew the data in the plot to the right. Since the mean temperature of 66.5°F is greater than more than 75% of the data, it is not a very good measure of central tendency.)
A: The mean temperature of 66.5°F is a good measure of central tendency since it is close to most of the data points.

Q: The box-and-whisker plot shows the daily high temperatures during a 10-day stretch in April. During this period, the mean temperature was 66.5°F, and the mode was 57°F. Which of the following statements is not true regarding the data? (Please notice you are looking for a statement that is NOT true.)

High Temperatures (°F)
[Image]
- The mean temperature of 66.5°F is a good measure of central tendency since it is close to most of the data points. (There are a few high temperatures that skew the data in the plot to the right. Since the mean temperature of 66.5°F is greater than more than 75% of the data, it is not a very good measure of central tendency.)
- The mode of 57°F is not a good measure of central tendency since it is lower than the majority of the temperatures. (There are a few high temperatures that skew the data in the plot to the right. Since the mean temperature of 66.5°F is greater than more than 75% of the data, it is not a very good measure of central tendency.)
- The range in temperatures is 24°F. This represents a fairly large difference in high temperatures over a 10-day period. (There are a few high temperatures that skew the data in the plot to the right. Since the mean temperature of 66.5°F is greater than more than 75% of the data, it is not a very good measure of central tendency.)
- The median temperature of 62°F is a good measure of central tendency since it is close to most of the data points. (There are a few high temperatures that skew the data in the plot to the right. Since the mean temperature of 66.5°F is greater than more than 75% of the data, it is not a very good measure of central tendency.)
A: The mean temperature of 66.5°F is a good measure of central tendency since it is close to most of the data points.

Q: Curtis is shopping for a new dishwasher and has organized the prices of several different models in a box-and-whisker plot. What is the price of the least expensive model in the list?

Dishwasher Prices (dollars)
[Image]
- $180 (The least expensive dishwasher model in the list is $120.)
- $120 (The least expensive dishwasher model in the list is $120.)
- $230 (The least expensive dishwasher model in the list is $120.)
- $300 (The least expensive dishwasher model in the list is $120.)
A: $120

Students at Greenlawn School participated in the President’s Challenge, a program that encourages all Americans to make being active part of their everyday lives. Their results in the sit-ups event are summarized in the box-and-whisker plot below.

President’s Challenge Results
[Image]
Number of Sit-Ups Completed

Refer to the data above. What was the maximum number of sit-ups completed by a student in the class?

Q: What is the range of the masses shown in the box-and-whisker plot?

Mass (grams)
[Image]
- 27 g (The range is the difference between the largest mass and the smallest mass, or [Image].)
- 69 g (The range is the difference between the largest mass and the smallest mass, or [Image].)
- 23 g (The range is the difference between the largest mass and the smallest mass, or [Image].)
- 37 g (The range is the difference between the largest mass and the smallest mass, or [Image].)
A: 37 g

The box-and-whisker plot below shows the number of push-ups that a physical education class performed during a one-month physical fitness unit.

Number of Class Push-ups
[Image]

How many push-ups did the student who performed exactly in the middle of the class do?

Q: The test scores on Mr. Lebowski’s midterm exam are displayed in the box-and-whisker plot below. Which of the following statements is a correct interpretation of the plot?

Midterm Exam Grades
[Image]
- The lowest grade earned on the exam was 56. (The data points represent the minimum, maximum, and median values as well as the quartile values. So the statement that the highest grade earned on the exam was 97 is the only correct interpretation of the plot.)
- The mean grade for the exam was 76. (The data points represent the minimum, maximum, and median values as well as the quartile values. So the statement that the highest grade earned on the exam was 97 is the only correct interpretation of the plot.)
- The highest grade earned on the exam was 97. (The data points represent the minimum, maximum, and median values as well as the quartile values. So the statement that the highest grade earned on the exam was 97 is the only correct interpretation of the plot.)
- The median grade for the exam was 87. (The data points represent the minimum, maximum, and median values as well as the quartile values. So the statement that the highest grade earned on the exam was 97 is the only correct interpretation of the plot.)
A: The highest grade earned on the exam was 97.

Q: The box-and-whisker plot shows the recorded high temperatures in Jim’s city last month. Which of the following would be the most accurate measures of central tendency for the data?

High Temperatures (°F)
[Image]
- the median or mode (The data in the box-and-whisker plot appear to be fairly normally distributed. Either the mean or median would be an accurate measure of central tendency.)
- the mode or range (The data in the box-and-whisker plot appear to be fairly normally distributed. Either the mean or median would be an accurate measure of central tendency.)
- the mean or range (The data in the box-and-whisker plot appear to be fairly normally distributed. Either the mean or median would be an accurate measure of central tendency.)
- the mean or median (The data in the box-and-whisker plot appear to be fairly normally distributed. Either the mean or median would be an accurate measure of central tendency.)
A: the mean or median

Cornelius recorded the number of points he scored this year in basketball games in the box-and-whisker plot below. What was the greatest number of points he scored in a game?

Number of Points Scored
[Image]

Q: Draw the box-and-whisker plot for the data.

33, 50, 30, 45, 30, 41, 27, 34, 50, 49, 40, 40, 35, 25, 28
- [Image]
- [Image]
- [Image]
- [Image]
A: [Image]

Q: The box and whisker plot shows the number of seventh graders who volunteered each week at a summer camp this year.

Number of Student Volunteers
[Image]

Refer to the information above. What was the range in the number of student volunteers per week during the summer?
- 22 volunteers (The range of a set of data is the difference between the highest value and the lowest value. So the range of student volunteers per week is [Image].)
- 8 volunteers (The range of a set of data is the difference between the highest value and the lowest value. So the range of student volunteers per week is [Image].)
- 30 volunteers (The range of a set of data is the difference between the highest value and the lowest value. So the range of student volunteers per week is [Image].)
- 13 volunteers (The range of a set of data is the difference between the highest value and the lowest value. So the range of student volunteers per week is [Image].)
A: 22 volunteers

The distribution of the number of hours that a class of students spent studying over the course of one week is shown with the box-and-whisker plot below.

Number of Hours Students Spent Studying During 1 Week
[Image]

What is the difference between the highest value in the data set and the median?

Ms. Brodie drew two box-and-whisker plots to represent her students’ scores on the mid-year test and the final exam. What do the plots tell you about the progress of Ms. Brodie’s class?
[Image]

Evan has collected data on the number of Carolton Middle School binders that have been sold at the school bookstore during the last few weeks. He has organized the data in a stem-and-leaf plot and in a box-and-whisker plot.

School Binder Sales
Stem | Leaves
0 | 6, 7, 8, 9
1 | 2, 3, 4, 6, 7, 8
2 | 3, 3
 | 0 | 6 = 6

School Binder Sales
[Image]

Part A  Which plot makes finding the median number of binders sold easier? What is the median number of binders sold?
Part B  How many days were 20 or more binders sold at the bookstore? Which of the plots makes finding this information easier? Explain.
Part C  What is the range of the number of school binders sold during this time period? Which of the plots makes finding the range easier? Explain.