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. Jun plots free-throw points from a basketball camp (the gym floor squeaked). The dot plot shows 20 players. What is the interquartile range (IQR), which is Q3 − Q1?
Dot plot: points in a free-throw contest. Number line from 34 to 80, a tick at every 1. Each dot is one player. Dots at: 48, 50, 51, 52, 54, 54, 55, 57, 58, 59, 59, 60, 61, 61, 64, 65, 66, 67, 70, 72. Dot plot: points in a free-throw contest. Number line from 34 to 80, a tick at every 1. Each dot is one player. Dots at: 48, 50, 51, 52, 54, 54, 55, 57, 58, 59, 59, 60, 61, 61, 64, 65, 66, 67, 70, 72. 35 40 45 50 55 60 65 70 75 80 Each dot is one player. Kira compares two classes that took the same quiz (Class A has the fancier pencils). Both sets have 8 students. How much larger is the IQR of Class A than the IQR of Class B?
Two dot plots on the same number line from 20 to 110, a tick at every 1. Each dot is one student. Class A: 40, 41, 48, 50, 62, 64, 66, 68. Class B: 54, 58, 58, 62, 65, 66, 70, 73. Two dot plots on the same number line from 20 to 110, a tick at every 1. Each dot is one student. Class A: 40, 41, 48, 50, 62, 64, 66, 68. Class B: 54, 58, 58, 62, 65, 66, 70, 73. Class A 20 25 30 35 40 45 50 55 60 65 70 75 80 85 90 95 100 105 110 Class B 20 25 30 35 40 45 50 55 60 65 70 75 80 85 90 95 100 105 110 Each dot is one student. Luz compares two school gardens that measured their tomato seedlings. Both sets have 8 seedlings. How much larger is the IQR of Garden A than the IQR of Garden B?
Two dot plots on the same number line from 10 to 60, a tick at every 1. Each dot is one seedling. Garden A: 25, 26, 31, 32, 33, 39, 40, 50. Garden B: 26, 33, 37, 37, 42, 42, 45, 45. Two dot plots on the same number line from 10 to 60, a tick at every 1. Each dot is one seedling. Garden A: 25, 26, 31, 32, 33, 39, 40, 50. Garden B: 26, 33, 37, 37, 42, 42, 45, 45. Garden A 10 15 20 25 30 35 40 45 50 55 60 Garden B 10 15 20 25 30 35 40 45 50 55 60 Each dot is one seedling. 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. Pia counted each student's sit-ups in 30 seconds (the mats were comfy). The dot plot shows 8 students. What is the mean absolute deviation (MAD), the mean of the distances from the mean?
Dot plot: sit-ups in 30 seconds. Number line from 3 to 30, a tick at every 1. Each dot is one student. Dots at: 10, 15, 16, 17, 19, 20, 21, 26. Dot plot: sit-ups in 30 seconds. Number line from 3 to 30, a tick at every 1. Each dot is one student. Dots at: 10, 15, 16, 17, 19, 20, 21, 26. 4 6 8 10 12 14 16 18 20 22 24 26 28 30 Each dot is one student. 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