Box plots, IQR and mean absolute deviation

Answer Key - Grade 6 Math Worksheet - Building Confidence

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

1. 1.

   Students took a spelling quiz with 20 words, and Esme made the dot plot. The dot plot shows 8 students. What is Q1, the first quartile (the middle of the lower half)?

   11.5
2. 2.

   Students logged their piano practice for one day, and Kira made the dot plot. The dot plot shows 8 students. What is Q3, the third quartile (the middle of the upper half)?

   26.5
3. 3.

   A garden club measured its tomato seedlings, and Luz plotted the heights. The dot plot shows 8 seedlings. What is Q3, the third quartile (the middle of the upper half)?

   22.5
4. 4.

   Students tracked the minutes they exercised in a day, and Milo drew the box plot (the jump ropes got a workout). What is the interquartile range (IQR) of the data?

   11
5. 5.

   A class took a math quiz, and Noah drew the box plot. What is the interquartile range (IQR) of the data?

   14
6. 6.

   A school garden measured its sunflower plants, and Pia drew the box plot (the tallest one waved at the clouds). What is the interquartile range (IQR) of the data?

   12
7. 7.

   Friends counted the books they read this summer, and Ren drew the distances from the mean. The dot plot shows 5 friends. What is the mean absolute deviation (MAD), the mean of these distances?

   2.4
8. 8.

   Students timed their reading, to the nearest minute, and Tala drew the distances from the mean. The dot plot shows 4 students. What is the mean absolute deviation (MAD), the mean of these distances?

   2.5
9. 9.

   Students took a science quiz, and Esme drew the box plot. The box plot shows 8 students. How many of them are inside the box?

   4
10. 10.

    Kids timed how long they took to jog across the field, and Jun drew the box plot (the grass tickled). The box plot shows 12 kids. How many of them are inside the box?

    6