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

Circle the best answer, or write your answer on the line.
Ari counted the minutes each class spent outside at recess (the swings were popular). The dot plot shows 12 classes. What is the interquartile range (IQR), which is Q3 − Q1?
Bo plots the points that spelling bee contestants earned on a written round. The dot plot shows 16 contestants. What is the interquartile range (IQR), which is Q3 − Q1?
Dot plot: points on the written round. Number line from 62 to 100, a tick at every 1. Each dot is one contestant. Dots at: 72, 73, 74, 77, 78, 79, 80, 82, 83, 83, 84, 85, 87, 89, 93, 94. Dot plot: points on the written round. Number line from 62 to 100, a tick at every 1. Each dot is one contestant. Dots at: 72, 73, 74, 77, 78, 79, 80, 82, 83, 83, 84, 85, 87, 89, 93, 94. 62 64 66 68 70 72 74 76 78 80 82 84 86 88 90 92 94 96 98 100 Each dot is one contestant. Esme plots the miles each rider finished in a charity ride (the water bottles were popular). The dot plot shows 16 riders. What is the interquartile range (IQR), which is Q3 − Q1?
Dot plot: miles ridden. Number line from 16 to 60, a tick at every 1. Each dot is one rider. Dots at: 28, 34, 34, 36, 37, 38, 39, 40, 40, 41, 43, 44, 46, 48, 51, 53. Dot plot: miles ridden. Number line from 16 to 60, a tick at every 1. Each dot is one rider. Dots at: 28, 34, 34, 36, 37, 38, 39, 40, 40, 41, 43, 44, 46, 48, 51, 53. 20 25 30 35 40 45 50 55 60 Each dot is one rider. Milo compares two relay teams that recorded the seconds each runner took. Both sets have 8 runners. How much larger is the IQR of Team A than the IQR of Team B?
Two dot plots on the same number line from 8 to 66, a tick at every 1. Each dot is one runner. Team A: 18, 22, 28, 34, 34, 38, 48, 49. Team B: 28, 28, 33, 34, 41, 41, 45, 48. Two dot plots on the same number line from 8 to 66, a tick at every 1. Each dot is one runner. Team A: 18, 22, 28, 34, 34, 38, 48, 49. Team B: 28, 28, 33, 34, 41, 41, 45, 48. Team A 10 15 20 25 30 35 40 45 50 55 60 65 Team B 10 15 20 25 30 35 40 45 50 55 60 65 Each dot is one runner. Noah compares two reading clubs that counted the minutes each member read last night. Both sets have 8 members. How much larger is the IQR of Club A than the IQR of Club B?
Two dot plots on the same number line from 14 to 90, a tick at every 1. Each dot is one member. Club A: 26, 31, 33, 35, 38, 54, 67, 79. Club B: 29, 37, 41, 47, 48, 50, 52, 57. Two dot plots on the same number line from 14 to 90, a tick at every 1. Each dot is one member. Club A: 26, 31, 33, 35, 38, 54, 67, 79. Club B: 29, 37, 41, 47, 48, 50, 52, 57. Club A 15 20 25 30 35 40 45 50 55 60 65 70 75 80 85 90 Club B 15 20 25 30 35 40 45 50 55 60 65 70 75 80 85 90 Each dot is one member. Ren counted the pages each student read in one day for a reading challenge. The dot plot shows 8 students. What is the mean absolute deviation (MAD), the mean of the distances from the mean?
Dot plot: pages read in one day. Number line from 7 to 44, a tick at every 1. Each dot is one student. Dots at: 19, 22, 22, 24, 24, 33, 35, 37. Dot plot: pages read in one day. Number line from 7 to 44, a tick at every 1. Each dot is one student. Dots at: 19, 22, 22, 24, 24, 33, 35, 37. 8 10 12 14 16 18 20 22 24 26 28 30 32 34 36 38 40 42 44 Each dot is one student. Tala weighed a class's snack bags in grams (the crackers were popular). The dot plot shows 8 bags. What is the mean absolute deviation (MAD), the mean of the distances from the mean?
Dot plot: weight of a snack bag in grams. Number line from 26 to 74, a tick at every 1. Each dot is one bag. Dots at: 34, 42, 44, 56, 57, 59, 61, 63. Dot plot: weight of a snack bag in grams. Number line from 26 to 74, a tick at every 1. Each dot is one bag. Dots at: 34, 42, 44, 56, 57, 59, 61, 63. 30 35 40 45 50 55 60 65 70 Each dot is one bag. Zee counted the steps students took across the gym floor (the sneakers squeaked). The dot plot shows 8 students. What is the mean absolute deviation (MAD), the mean of the distances from the mean?
Dot plot: steps across the gym. Number line from 11 to 53, a tick at every 1. Each dot is one student. Dots at: 24, 24, 28, 31, 32, 40, 45, 48. Dot plot: steps across the gym. Number line from 11 to 53, a tick at every 1. Each dot is one student. Dots at: 24, 24, 28, 31, 32, 40, 45, 48. 15 20 25 30 35 40 45 50 Each dot is one student. Ari reads the box plot of a 100-point math test given at school (every pencil was sharpened). The box plot shows 20 students. How many of them are inside the box?
Box plot: math test points. Number line from 20 to 100, a tick at every 20. The left whisker starts at 37. The box runs from 53.5 to 70.5, with the median line at 61.5. The right whisker ends at 78. Box plot: math test points. Number line from 20 to 100, a tick at every 20. The left whisker starts at 37. The box runs from 53.5 to 70.5, with the median line at 61.5. The right whisker ends at 78. 20 40 60 80 100 math test points Bo reads the box plot of a junior hiking club's long walk (the trail snacks were popular). The box plot shows 24 walkers. How many of them are inside the box?
Box plot: minutes for the walk. Number line from 40 to 120, a tick at every 10. The left whisker starts at 55. The box runs from 69 to 92, with the median line at 80.5. The right whisker ends at 106. Box plot: minutes for the walk. Number line from 40 to 120, a tick at every 10. The left whisker starts at 55. The box runs from 69 to 92, with the median line at 80.5. The right whisker ends at 106. 40 50 60 70 80 90 100 110 120 minutes for the walk