Worksheets · Statistics

Statistics box and whisker plot worksheet

A box plot shows five numbers: the minimum, the first quartile, the median, the third quartile and the maximum. The box holds the middle half of the data, so its width is the interquartile range.

Select your difficulty

Pick more than one for a sheet that mixes them.

Free math worksheets at sigmaprep.io/worksheets© 2026 Sigma Prep

Sigma Prep · sigmaprep.io/worksheets

Name

Box and Whisker Plots

Date Period

Use the plot to answer each question.

  1. Find the third quartile1416182022242628303234
  2. Find the median246810121416182022
  3. Find the median4567891011121314
  4. Find the median1416182022242628303234
  5. Find the first quartile8101214161820222426
  6. Find the median6810121416182022
  7. Find the median8101214161820222426
  8. Find the first quartile36912151821242730
  9. Find the median141618202224262830
  10. Find the third quartile16182022242628303234
  11. Find the third quartile14161820222426283032
  12. Find the third quartile810121416182022242628
  13. Find the first quartile468101214161820
  14. Find the first quartile369121518212427
  15. Find the first quartile024681012141618
  16. Find the median36912151821242730
  17. Find the third quartile14161820222426283032
  18. Find the first quartile10121416182022242628
  19. Find the median812162024283236404448
  20. Find the third quartile81012141618202224

Free math worksheets at sigmaprep.io/worksheets© 2026 Sigma Prep

Sigma Prep · sigmaprep.io/worksheets

Name

Box and Whisker PlotsAnswer keyVersion 1

Date Period

Use the plot to answer each question.

  1. Find the third quartile141618202224262830323429
  2. Find the median2468101214161820226
  3. Find the median45678910111213149
  4. Find the median141618202224262830323425
  5. Find the first quartile810121416182022242616
  6. Find the median681012141618202216
  7. Find the median810121416182022242616
  8. Find the first quartile3691215182124273010
  9. Find the median14161820222426283026
  10. Find the third quartile1618202224262830323427
  11. Find the third quartile1416182022242628303227
  12. Find the third quartile81012141618202224262822.5
  13. Find the first quartile4681012141618207
  14. Find the first quartile3691215182124278
  15. Find the first quartile0246810121416186
  16. Find the median3691215182124273014
  17. Find the third quartile1416182022242628303228
  18. Find the first quartile1012141618202224262815
  19. Find the median81216202428323640444816
  20. Find the third quartile8101214161820222418

Free math worksheets at sigmaprep.io/worksheets© 2026 Sigma Prep

How to do these

A box plot has Q1=12 and Q3=20. Find the interquartile range

  1. The interquartile range is the width of the box.
  2. 20 minus 12.

The answer is 8.

Where students go wrong

Reading the line inside the box as the mean. It is the median, and on a skewed set the two are not the same.

Also called box plot, five number summary or interquartile range.

What you can put on this worksheet

Reading a box plot
Find the minimum 7
The five-number summary from a list
Find the median: 7,  9,  10,  10,  12,  14,  15 10

Questions about these worksheets

Yes. Every box and whisker plot sheet is free to print and free to download as a PDF. There is no account to make, no email to hand over and no limit on how many you take.

Yes. The answer key prints on a second page, and you can choose whether it shows each question beside its answer or just the answers in a list.

Yes. Print straight from the page, or download the PDF and print that. The sheet is laid out for paper rather than squeezed off a screen, so there is room to work under each question, and the answer key comes out on its own page.

Statistics is usually taken around 11th or 12th grade, though schools vary and plenty of students meet it earlier or later. Pick the difficulty rather than the grade: the easy level suits a first lesson on it, the hard level suits review before a test.

Yes, as many as you like. The questions are built fresh each time rather than picked from a fixed set of files, so pressing Generate gives a new sheet. That is what you want for a second class, a retake, or two students sitting next to each other.

That is the closest comparison, and Kuta Software is good software. It is also paid software you install on a computer. These worksheets run in a browser tab for free, with no account and nothing to install. Like Kuta, the box and whisker plot questions are generated when you ask for them rather than pulled from a fixed set of files, so two classes never get the same sheet, and the answer key comes with it.

Yes. There are two levels, and you can tick more than one for a sheet that mixes them, in which case the questions come out easiest first. The harder levels are not just larger numbers: they ask for something the easy ones do not.

You pick from 2: reading a box plot and the five-number summary from a list. Tick as many as you want and set how many of each, or let it spread them evenly.

Reading the line inside the box as the mean. It is the median, and on a skewed set the two are not the same.