PencilGo

Grade 6 · Math

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

6 printable versionsChallenge Me10 questions · answer keyFree · no account

Level: Building Confidence · On Level · Challenge Me

When it’s done, scan the sheet with your phone and PencilGo marks it and picks the next one. Create a free account

Version
Print

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. Bo plots the points that spelling bee contestants earned on a written round. The dot plot shows 16 contestants. What is the interquartile range (IQR), which is Q3 − Q1?

  2. Esme plots the miles each rider finished in a charity ride (the water bottles were popular). The dot plot shows 16 riders. What is the interquartile range (IQR), which is Q3 − Q1?

  3. 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?

  4. 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?

  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. 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?

  7. 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?

  8. 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. Zee counted the steps students took across the gym floor (the sneakers squeaked). The dot plot shows 8 students. 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?

PencilGopencilgo.com

6th grade Box plots, IQR and mean absolute deviation worksheet – printable
Print: 123456

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

See all grade 6 math

Every sheet you scan goes into your child’s record: dated, marked and ready for the year-end portfolio. Homeschool records