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. 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 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 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. 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 Kids timed how long they took to jog across the field, and Jun drew the box plot (the grass tickled). The box plot shows 12 kids. How many of them are inside the box?
Box plot: seconds to jog across the field. Number line from 20 to 80, a tick at every 10. The left whisker starts at 37. The box runs from 41.5 to 54.5, with the median line at 48.5. The right whisker ends at 67. Box plot: seconds to jog across the field. Number line from 20 to 80, a tick at every 10. The left whisker starts at 37. The box runs from 41.5 to 54.5, with the median line at 48.5. The right whisker ends at 67. 20 30 40 50 60 70 80 seconds to jog across the field