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

Circle the best answer, or write your answer on the line.
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)?
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. Students recorded their weekend bike rides, and Pia drew the box plot (the bells rang a lot). What is the interquartile range (IQR) of the data?
Box plot: minutes riding a bike. Number line from 15 to 105, a tick at every 15. The left whisker starts at 15. The box runs from 27 to 47, with the median line at 35. The right whisker ends at 59. Box plot: minutes riding a bike. Number line from 15 to 105, a tick at every 15. The left whisker starts at 15. The box runs from 27 to 47, with the median line at 35. The right whisker ends at 59. 15 30 45 60 75 90 105 minutes riding a bike A gym class measured standing jumps, and Ren drew the box plot (the mats did the landing). What is the interquartile range (IQR) of the data?
Box plot: jump lengths in centimeters. Number line from 90 to 210, a tick at every 10. The left whisker starts at 103. The box runs from 110 to 126, with the median line at 118. The right whisker ends at 135. Box plot: jump lengths in centimeters. Number line from 90 to 210, a tick at every 10. The left whisker starts at 103. The box runs from 110 to 126, with the median line at 118. The right whisker ends at 135. jump lengths in centimeters 90 100 110 120 130 140 150 160 170 180 190 200 210 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. A science class took a unit test, and Ari plotted the points. The dot plot shows 16 students. What is the interquartile range (IQR), which is Q3 − Q1?
Dot plot: test points. Number line from 52 to 100, a tick at every 1. Each dot is one student. Dots at: 56, 61, 66, 68, 69, 72, 74, 75, 78, 83, 84, 85, 85, 86, 89, 94. Dot plot: test points. Number line from 52 to 100, a tick at every 1. Each dot is one student. Dots at: 56, 61, 66, 68, 69, 72, 74, 75, 78, 83, 84, 85, 85, 86, 89, 94. 55 60 65 70 75 80 85 90 95 100 Each dot is one student. 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. 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