Worksheets · Pre-Algebra

Box and whisker plot worksheet for Pre-Algebra

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.

Also taught in Algebra 1 and Statistics, each at its own level and with its own examples.

Select your difficulty

Pick more than one for a sheet that mixes them.

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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. Read a box plot

    Find the maximum.1234567891011
  2. Find the minimum.6789101112131415
  3. Find the median.05101520253035
  4. Find the maximum.9101112131415161718
  5. Find the median.1234567891011
  6. Find the minimum.345678910111213
  7. Find the minimum.4567891011121314
  1. Estimate percents from a box plot

    Estimate the percent of the data that is between 12 and 15.891011121314151617
  2. Use the box plot to estimate what percent of the data values are at least 16.89101112131415161718
  3. Based on the plot, about what percent of the values are above 7?56789101112131415
  4. What percent of the data, roughly, is between 2 and 8?02468101214
  5. Roughly what percent of the values in the box plot are greater than 9?468101214161820
  6. Based on the plot, about what percent of the values are below 11?6810121416182022
  7. About what percent of the data is above 7?1234567891011
  1. Compare two box plots

    These box plots compare how Class A and Class B did on a geography test. Half of each class scored at or above its median. Which class has the higher median?AB405060708090100
  2. The results of the spelling quiz are shown for two classes, with Class A on top. In which class is the gap between the highest and lowest score larger? Compare the ranges.AB455055606570758085
  3. Class A and Class B took the same science test. The box plots show their scores. Which class has the greater median score?AB455055606570758085
  4. After a reading quiz, the scores of Class A (top) and Class B (bottom) were drawn as box plots. Which class’s scores spread across a wider range, from lowest to highest?AB405060708090100110
  5. The box plots show scores on a vocabulary quiz for Class A and Class B. Which class has the greater range of scores?AB505560657075808590
  6. Two classes took a math test. Class A is the top plot and Class B the bottom. Which class has the higher middle score (the median)?AB5060708090100110

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. Read a box plot

    Find the maximum.123456789101110
  2. Find the minimum.67891011121314157
  3. Find the median.0510152025303511
  4. Find the maximum.910111213141516171817
  5. Find the median.12345678910116
  6. Find the minimum.3456789101112134
  7. Find the minimum.45678910111213145
  1. Estimate percents from a box plot

    Estimate the percent of the data that is between 12 and 15.89101112131415161750%
  2. Use the box plot to estimate what percent of the data values are at least 16.8910111213141516171825%
  3. Based on the plot, about what percent of the values are above 7?5678910111213141575%
  4. What percent of the data, roughly, is between 2 and 8?0246810121475%
  5. Roughly what percent of the values in the box plot are greater than 9?46810121416182050%
  6. Based on the plot, about what percent of the values are below 11?681012141618202225%
  7. About what percent of the data is above 7?123456789101125%
  1. Compare two box plots

    These box plots compare how Class A and Class B did on a geography test. Half of each class scored at or above its median. Which class has the higher median?AB405060708090100Class A: median 78 vs 64
  2. The results of the spelling quiz are shown for two classes, with Class A on top. In which class is the gap between the highest and lowest score larger? Compare the ranges.AB455055606570758085Class B: range 28 vs 16
  3. Class A and Class B took the same science test. The box plots show their scores. Which class has the greater median score?AB455055606570758085Class A: median 69 vs 58
  4. After a reading quiz, the scores of Class A (top) and Class B (bottom) were drawn as box plots. Which class’s scores spread across a wider range, from lowest to highest?AB405060708090100110Class B: range 30 vs 20
  5. The box plots show scores on a vocabulary quiz for Class A and Class B. Which class has the greater range of scores?AB505560657075808590Class B: range 21 vs 18
  6. Two classes took a math test. Class A is the top plot and Class B the bottom. Which class has the higher middle score (the median)?AB5060708090100110Class A: median 82 vs 68

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 or five number summary.

What you can put on this worksheet

Reading a box plot
Find the maximum. — a box plot from 3 to 10, median 8 → 10
The five-number summary from a list
Find the median:
7,  10,  10,  10,  14,  15.
→ 10
What percent of the data lies in a section
Use the box plot to estimate what percent of the data values are less than 9. — a box plot from 3 to 10, median 8 → 75%
Make a box plot from data
Make a box plot of the data: 22, 20, 13, 24, 17, 15, 19, 20, 26. For quartiles, split the data at the median, and leave the median out of both halves when the count is odd. → Min 13, Q1 16, median 20, Q3 23, max 26
Decimal data, or a longer list
Make a box plot of the data: 32, 12, 24, 27, 17, 40, 20, 36, 27, 40, 12, 29, 22, 29, 33, 23. For quartiles, split the data at the median, and leave the median out of both halves when the count is odd. → Min 12, Q1 21, median 27, Q3 32.5, max 40
Compare two box plots
These box plots compare how Class A and Class B did on a math test. Measure from the lowest score to the highest in each class. Which class has the larger range? → Class B: range 25 vs 22

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.

Pre-Algebra is usually taken around 7th or 8th 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 6: reading a box plot, the five-number summary from a list, what percent of the data lies in a section, make a box plot from data, decimal data, or a longer list and compare two box plots. 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.