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

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Box plots, IQR and mean absolute deviation

Grade 6 Math Worksheet

NameDate

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

  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)?

  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)?

  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)?

  4. Kids timed how long they took to finish a puzzle, and Noah made the dot plot. The dot plot shows 8 kids. What is Q3, the third quartile (the middle of the upper half)?

  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?

  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?

  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?

  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?

  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?

  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?

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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.

More grade 6 math

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