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

Circle the best answer, or write your answer on the line.
Students took a spelling quiz with 20 words, and Esme made the dot plot. The dot plot shows 8 students. What is Q1, the first quartile (the middle of the lower half)?
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)?
Dot plot: pages read before bed. Number line from 5 to 25, a tick at every 1. Each dot is one friend. Dots at: 13, 13, 14, 14, 17, 18, 20, 22. In order, with a line | between the lower half and the upper half: 13, 13, 14, 14 | 17, 18, 20, 22. Dot plot: pages read before bed. Number line from 5 to 25, a tick at every 1. Each dot is one friend. Dots at: 13, 13, 14, 14, 17, 18, 20, 22. In order, with a line | between the lower half and the upper half: 13, 13, 14, 14 | 17, 18, 20, 22. pages read before bed; each dot is one friend 6 8 10 12 14 16 18 20 22 24 13, 13, 14, 14 | 17, 18, 20, 22. 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 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 basketball player tracked each game's points, and Zee drew the distances from the mean. The dot plot shows 5 games. What is the mean absolute deviation (MAD), the mean of these distances?
Dot plot: points scored in a game. Number line from 6 to 30, a tick at every 1. Each dot is one game. Dots at: 15, 17, 17, 19, 22. The mean is 18. The distance of each dot from the mean: 3, 1, 1, 1, 4. Dot plot: points scored in a game. Number line from 6 to 30, a tick at every 1. Each dot is one game. Dots at: 15, 17, 17, 19, 22. The mean is 18. The distance of each dot from the mean: 3, 1, 1, 1, 4. 2 4 6 8 10 12 14 16 18 20 22 2 4 6 8 10 12 14 16 18 20 22 Each dot is one game. The mean is 18. Students took a science quiz, and Esme drew the box plot. The box plot shows 8 students. How many of them are inside the box?
Box plot: science quiz scores. Number line from 30 to 100, a tick at every 10. The left whisker starts at 51. The box runs from 59.5 to 71.5, with the median line at 65.5. The right whisker ends at 84. Box plot: science quiz scores. Number line from 30 to 100, a tick at every 10. The left whisker starts at 51. The box runs from 59.5 to 71.5, with the median line at 65.5. The right whisker ends at 84. 30 40 50 60 70 80 90 100 science quiz scores