Box plots, IQR and mean absolute deviation

Answer Key - Grade 6 Math Worksheet

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

1. 1.

   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)?

   68.5
2. 2.

   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)?

   18.5
3. 3.

   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)?

   38.5
4. 4.

   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?

   16
5. 5.

   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?

   3.5
6. 6.

   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?

   3
7. 7.

   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?

   3
8. 8.

   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?

   2
9. 9.

   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?

   6
10. 10.

    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?

    8