Box plots, IQR and mean absolute deviation

Grade 6 Math Worksheet - Challenge Me

NameDate

Circle the best answer, or write your answer on the line.

  1. 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?

  2. 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?

  3. 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?

  4. 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?

  5. 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?

  6. 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?

  7. 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?

  8. 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?

  9. 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?

  10. 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?

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Box plots, IQR and mean absolute deviation

Answer Key - Grade 6 Math Worksheet - Challenge Me

Circle the best answer, or write your answer on the line.

  1. 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?

    11
  2. 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?

    10.5
  3. 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?

    10.5
  4. 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?

    2.5
  5. 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?

    5.5
  6. 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?

    16.5
  7. 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?

    3.5
  8. 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?

    6
  9. 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?

    9
  10. 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?

    10