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Grade 6 · Math

6th grade Box plots, IQR and mean absolute deviation worksheet

6 printable versionsBuilding Confidence10 questions · answer keyFree · no account

Level: Building Confidence · On Level · Challenge Me

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Box plots, IQR and mean absolute deviation

Grade 6 Math Worksheet - Building Confidence

NameDate

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

  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)?

  2. Friends counted the pages they read before bed, and Jun plotted them (the bedside lamp stayed on). The dot plot shows 8 friends. What is Q1, the first quartile (the middle of the lower half)?

  3. 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)?

  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?

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

  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?

  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?

  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?

  9. A class measured some bean plants, and Ari plotted them. The dot plot shows 5 plants. What is the mean absolute deviation (MAD), the mean of the distances from the mean?

  10. Students counted the laps they ran in gym class, and Bo plotted them. The dot plot shows 5 students. What is the mean absolute deviation (MAD), the mean of the distances from the mean?

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6th grade Box plots, IQR and mean absolute deviation worksheet – printable
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About this worksheet

Box plots and variability. Every version has 10 questions, and the answer key prints on the second page.

What your child will learn

  • I can cut a list of values into two halves and find Q1 and Q3, the middle of each half.
  • I can find the IQR, Q3 − Q1, and I know it is the length of the box, not of the whole plot.
  • I can find the mean absolute deviation: how far each value is from the mean, then the mean of those distances.

Standard: 6.SP.B.4, 6.SP.B.5c

Words to know

quartile: A quarter mark: Q1, the median and Q3 cut the dots into four equal groups.

Q1: The middle of the lower half of the dots.

Q3: The middle of the upper half of the dots.

IQR: Q3 − Q1. How long the box is. It covers the middle half of the dots.

box plot: A line with a box from Q1 to Q3, a line at the median and a whisker to each end.

distance: How far two numbers are apart. It is never less than 0.

MAD: Mean absolute deviation: the mean of the distances from the mean.

Common mistakes

Your child used the median of all the data where a quartile belongs. Try this together: cut the dot plot into two halves first, then find the middle of each half.

Your child gave the range (highest minus lowest) when the question asked for the IQR.

Your child subtracted the mean from each value and kept the signs, so everything cancelled to 0.

What to say

Ask: the IQR leaves out the lowest quarter and the highest quarter of the data. Which numbers are left?

Ask: how far is each dot from the mean, as a distance? Add those distances.

Questions parents ask

What is the most common mistake with box plots, iqr and mean absolute deviation?

Your child used the median of all the data where a quartile belongs. Try this together: cut the dot plot into two halves first, then find the middle of each half.

Are these 6th grade math worksheets free to print?

Yes. All 6 printable versions at each level are free to print, with the answer key, and no account is needed.

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