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

Circle the best answer, or write your answer on the line.
A class took a math test, and Kira plotted the scores. The dot plot shows 12 students. What is Q1, the first quartile (the middle of the lower half)?
Students timed their walk to school, and Luz made the dot plot. The dot plot shows 8 students. What is Q1, the first quartile (the middle of the lower half)?
Dot plot: minutes walking to school. Number line from 4 to 32, a tick at every 1. Each dot is one student. Dots at: 15, 18, 19, 20, 21, 24, 25, 26. Dot plot: minutes walking to school. Number line from 4 to 32, a tick at every 1. Each dot is one student. Dots at: 15, 18, 19, 20, 21, 24, 25, 26. 4 6 8 10 12 14 16 18 20 22 24 26 28 30 32 Each dot is one student. A reading club counted the pages each member read last night, and Milo plotted them. The dot plot shows 12 members. What is Q3, the third quartile (the middle of the upper half)?
Dot plot: pages read last night. Number line from 4 to 48, a tick at every 1. Each dot is one member. Dots at: 7, 18, 24, 24, 25, 26, 27, 29, 36, 41, 43, 43. Dot plot: pages read last night. Number line from 4 to 48, a tick at every 1. Each dot is one member. Dots at: 7, 18, 24, 24, 25, 26, 27, 29, 36, 41, 43, 43. 5 10 15 20 25 30 35 40 45 Each dot is one member. Kids timed how long they took to finish a puzzle, and Noah made the dot plot. The dot plot shows 8 kids. What is Q3, the third quartile (the middle of the upper half)?
Dot plot: seconds to finish a puzzle. Number line from 30 to 120, a tick at every 1. Each dot is one kid. Dots at: 66, 68, 77, 78, 80, 88, 89, 97. Dot plot: seconds to finish a puzzle. Number line from 30 to 120, a tick at every 1. Each dot is one kid. Dots at: 66, 68, 77, 78, 80, 88, 89, 97. 30 35 40 45 50 55 60 65 70 75 80 85 90 95 100 105 110 115 120 Each dot is one kid. A cycling club recorded the miles in each member's last ride, and Zee plotted them (the helmets matched). The dot plot shows 12 members. What is the interquartile range (IQR), which is Q3 − Q1?
Dot plot: miles ridden. Number line from 2 to 24, a tick at every 1. Each dot is one member. Dots at: 11, 11, 12, 13, 14, 14, 15, 15, 16, 16, 17, 18. Dot plot: miles ridden. Number line from 2 to 24, a tick at every 1. Each dot is one member. Dots at: 11, 11, 12, 13, 14, 14, 15, 15, 16, 16, 17, 18. 2 4 6 8 10 12 14 16 18 20 22 24 Each dot is one member. Bo counted each soccer player's goals this season (the net got a workout). The dot plot shows 6 players. What is the mean absolute deviation (MAD), the mean of the distances from the mean?
Dot plot: goals scored this season. Number line from 2 to 20, a tick at every 1. Each dot is one player. Dots at: 7, 8, 9, 13, 13, 16. Dot plot: goals scored this season. Number line from 2 to 20, a tick at every 1. Each dot is one player. Dots at: 7, 8, 9, 13, 13, 16. 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 Each dot is one player. Esme counted the stickers in students' collections (the sparkly ones were popular). The dot plot shows 6 students. What is the mean absolute deviation (MAD), the mean of the distances from the mean?
Dot plot: stickers in a collection. Number line from 9 to 33, a tick at every 1. Each dot is one student. Dots at: 17, 17, 20, 22, 23, 27. Dot plot: stickers in a collection. Number line from 9 to 33, a tick at every 1. Each dot is one student. Dots at: 17, 17, 20, 22, 23, 27. 10 12 14 16 18 20 22 24 26 28 30 32 Each dot is one student. A class counted the leaves on its bean plants, and Jun plotted them. The dot plot shows 7 plants. What is the mean absolute deviation (MAD), the mean of the distances from the mean?
Dot plot: leaves on a plant. Number line from 4 to 22, a tick at every 1. Each dot is one plant. Dots at: 10, 11, 12, 12, 15, 15, 16. Dot plot: leaves on a plant. Number line from 4 to 22, a tick at every 1. Each dot is one plant. Dots at: 10, 11, 12, 12, 15, 15, 16. 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 Each dot is one plant. A class took a reading check, and Kira drew the box plot. The box plot shows 12 students. How many of them are inside the box?
Box plot: reading check points. Number line from 25 to 85, a tick at every 10. The left whisker starts at 52. The box runs from 54 to 65, with the median line at 59.5. The right whisker ends at 74. Box plot: reading check points. Number line from 25 to 85, a tick at every 10. The left whisker starts at 52. The box runs from 54 to 65, with the median line at 59.5. The right whisker ends at 74. 30 40 50 60 70 80 reading check points Swimmers timed one lap of the pool, and Luz drew the box plot (the splash was loud). The box plot shows 16 swimmers. How many of them are inside the box?
Box plot: seconds to swim a lap. Number line from 30 to 110, a tick at every 10. The left whisker starts at 60. The box runs from 66.5 to 75.5, with the median line at 71.5. The right whisker ends at 81. Box plot: seconds to swim a lap. Number line from 30 to 110, a tick at every 10. The left whisker starts at 60. The box runs from 66.5 to 75.5, with the median line at 71.5. The right whisker ends at 81. seconds to swim a lap 30 40 50 60 70 80 90 100 110

