Box plots, IQR and mean absolute deviation
Grade 6 Math Worksheet - Building Confidence

Circle the best answer, or write your answer on the line.
Friends counted the pages they read before bed, and Jun plotted them (the bedside lamp stayed on). The dot plot shows 8 friends. What is Q1, the first quartile (the middle of the lower half)?
Students logged their piano practice for one day, and Kira made the dot plot. The dot plot shows 8 students. What is Q3, the third quartile (the middle of the upper half)?
Dot plot: minutes of piano practice. Number line from 10 to 40, a tick at every 1. Each dot is one student. Dots at: 14, 20, 20, 21, 26, 26, 27, 32. In order, with a line | between the lower half and the upper half: 14, 20, 20, 21 | 26, 26, 27, 32. Dot plot: minutes of piano practice. Number line from 10 to 40, a tick at every 1. Each dot is one student. Dots at: 14, 20, 20, 21, 26, 26, 27, 32. In order, with a line | between the lower half and the upper half: 14, 20, 20, 21 | 26, 26, 27, 32. minutes of piano practice 10 12 14 16 18 20 22 24 26 28 30 32 34 36 38 40 Each dot is one student. 14, 20, 20, 21 | 26, 26, 27, 32. A garden club measured its tomato seedlings, and Luz plotted the heights. The dot plot shows 8 seedlings. What is Q3, the third quartile (the middle of the upper half)?
Dot plot: seedling heights in centimeters. Number line from 12 to 30, a tick at every 1. Each dot is one seedling. Dots at: 17, 17, 20, 20, 21, 22, 23, 26. In order, with a line | between the lower half and the upper half: 17, 17, 20, 20 | 21, 22, 23, 26. Dot plot: seedling heights in centimeters. Number line from 12 to 30, a tick at every 1. Each dot is one seedling. Dots at: 17, 17, 20, 20, 21, 22, 23, 26. In order, with a line | between the lower half and the upper half: 17, 17, 20, 20 | 21, 22, 23, 26. 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 seedling heights in centimeters Each dot is one seedling. 17, 17, 20, 20 | 21, 22, 23, 26 Students tracked the minutes they exercised in a day, and Milo drew the box plot (the jump ropes got a workout). What is the interquartile range (IQR) of the data?
Box plot: minutes of exercise. Number line from 10 to 70, a tick at every 10. The left whisker starts at 12. The box runs from 20 to 31, with the median line at 24. The right whisker ends at 37. Box plot: minutes of exercise. Number line from 10 to 70, a tick at every 10. The left whisker starts at 12. The box runs from 20 to 31, with the median line at 24. The right whisker ends at 37. minutes of exercise 10 20 30 40 50 60 70 A class took a math quiz, and Noah drew the box plot. What is the interquartile range (IQR) of the data?
Box plot: quiz points. Number line from 40 to 100, a tick at every 10. The left whisker starts at 56. The box runs from 67 to 81, with the median line at 74. The right whisker ends at 87. Box plot: quiz points. Number line from 40 to 100, a tick at every 10. The left whisker starts at 56. The box runs from 67 to 81, with the median line at 74. The right whisker ends at 87. 40 50 60 70 80 90 100 quiz points A school garden measured its sunflower plants, and Pia drew the box plot (the tallest one waved at the clouds). What is the interquartile range (IQR) of the data?
Box plot: sunflower heights in centimeters. Number line from 20 to 80, a tick at every 10. The left whisker starts at 24. The box runs from 36 to 48, with the median line at 40. The right whisker ends at 59. Box plot: sunflower heights in centimeters. Number line from 20 to 80, a tick at every 10. The left whisker starts at 24. The box runs from 36 to 48, with the median line at 40. The right whisker ends at 59. 20 30 40 50 60 70 80 sunflower heights in centimeters Friends counted the books they read this summer, and Ren drew the distances from the mean. The dot plot shows 5 friends. What is the mean absolute deviation (MAD), the mean of these distances?
Dot plot: books read this summer. Number line from 1 to 15, a tick at every 1. Each dot is one friend. Dots at: 6, 7, 8, 11, 13. The mean is 9. The distance of each dot from the mean: 3, 2, 1, 2, 4. Dot plot: books read this summer. Number line from 1 to 15, a tick at every 1. Each dot is one friend. Dots at: 6, 7, 8, 11, 13. The mean is 9. The distance of each dot from the mean: 3, 2, 1, 2, 4. 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 Each dot is one friend. The mean is 9. Students timed their reading, to the nearest minute, and Tala drew the distances from the mean. The dot plot shows 4 students. What is the mean absolute deviation (MAD), the mean of these distances?
Dot plot: minutes of reading. Number line from 8 to 32, a tick at every 1. Each dot is one student. Dots at: 16, 19, 21, 24. The mean is 20. The distance of each dot from the mean: 4, 1, 1, 4. Dot plot: minutes of reading. Number line from 8 to 32, a tick at every 1. Each dot is one student. Dots at: 16, 19, 21, 24. The mean is 20. The distance of each dot from the mean: 4, 1, 1, 4. 2 4 6 8 10 12 14 16 18 20 22 24 2 4 6 8 10 12 14 16 18 20 22 24 Each dot is one student. The mean is 20. A class measured some bean plants, and Ari plotted them. The dot plot shows 5 plants. What is the mean absolute deviation (MAD), the mean of the distances from the mean?
Dot plot: bean plant heights in centimeters. Number line from 12 to 28, a tick at every 1. Each dot is one plant. Dots at: 16, 17, 17, 22, 23. The mean is 19. Dot plot: bean plant heights in centimeters. Number line from 12 to 28, a tick at every 1. Each dot is one plant. Dots at: 16, 17, 17, 22, 23. The mean is 19. 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 Each dot is one plant. The mean is 19. Students counted the laps they ran in gym class, and Bo plotted them. The dot plot shows 5 students. What is the mean absolute deviation (MAD), the mean of the distances from the mean?
Dot plot: laps run. Number line from 3 to 13, a tick at every 1. Each dot is one student. Dots at: 7, 7, 10, 10, 11. The mean is 9. Dot plot: laps run. Number line from 3 to 13, a tick at every 1. Each dot is one student. Dots at: 7, 7, 10, 10, 11. The mean is 9. 3 4 5 6 7 8 9 10 11 12 13 Each dot is one student. The mean is 9.