Worksheets · Algebra 1

Box and whisker plot worksheet for Algebra 1

Algebra 1 reads box plots: the median, quartiles and interquartile range off the plot, what percent of the data lies in a section, and which of two groups has the higher median or the more consistent values. Each section between the five numbers holds about a quarter of the data.

Also taught in Pre-Algebra 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.

The preview can look cramped on a phone. The PDF and printed sheet come out normal.

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 median.810121416182022242628
  2. Find the first quartile.0510152025
  3. Find the third quartile.14161820222426283032
  4. Find the interquartile range.05101520253035
  5. Find the first quartile.10121416182022242628
  6. Find the range.051015202530
  7. Find the third quartile.246810121416182022
  1. Estimate percents from a box plot

    Based on the plot, about what percent of the values are between 4 and 17?051015202530
  2. Roughly what percent of the values in the box plot are at most 23?510152025303540
  3. What percent of the data, roughly, is from 21 to 35?51015202530354045
  4. Estimate the percent of the data that is above 18.6810121416182022
  5. Use the box plot to estimate what percent of the data values are less than 36.202530354045505560
  6. About what percent of the data is below 12?0246810121416
  7. Use the box plot to estimate what percent of the data values are between 7 and 15.0510152025
  1. Compare two box plots

    A teacher gave a history quiz to two classes and drew a box plot of each: Class A on top, Class B below. The middle half of which class’s scores is packed more tightly? Compare the IQRs.AB405060708090100
  2. The box plots show scores on a geography test for Class A and Class B. Which class’s scores spread across a wider range, from lowest to highest?AB6065707580859095100
  3. After a math test, the scores of Class A (top) and Class B (bottom) were drawn as box plots. Compare the medians. Which class scored higher in the middle?AB405060708090100
  4. Scores from two classes on a vocabulary quiz are summarized below, Class A above Class B. Which class has the smaller interquartile range?AB505560657075808590
  5. Class A and Class B took the same spelling quiz. The box plots show their scores. Half of each class scored at or above its median. Which class has the higher median?AB4550556065707580
  6. Both classes, A and B, took a science test, and each class’s results appear as a box plot. In which class is the gap between the highest and lowest score larger? Compare the ranges.AB5560657075808590

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

Sigma Prep · sigmaprep.io/worksheets

Name

Box and Whisker PlotsAnswer keyVersion 2

Date Period

Use the plot to answer each question.

  1. Read a box plot

    Find the median.81012141618202224262818
  2. Find the first quartile.05101520255
  3. Find the third quartile.1416182022242628303225
  4. Find the interquartile range.0510152025303519
  5. Find the first quartile.1012141618202224262816
  6. Find the range.05101520253022
  7. Find the third quartile.24681012141618202217
  1. Estimate percents from a box plot

    Based on the plot, about what percent of the values are between 4 and 17?05101520253050%
  2. Roughly what percent of the values in the box plot are at most 23?51015202530354075%
  3. What percent of the data, roughly, is from 21 to 35?5101520253035404525%
  4. Estimate the percent of the data that is above 18.681012141618202225%
  5. Use the box plot to estimate what percent of the data values are less than 36.20253035404550556050%
  6. About what percent of the data is below 12?024681012141675%
  7. Use the box plot to estimate what percent of the data values are between 7 and 15.051015202525%
  1. Compare two box plots

    A teacher gave a history quiz to two classes and drew a box plot of each: Class A on top, Class B below. The middle half of which class’s scores is packed more tightly? Compare the IQRs.AB405060708090100Class B: IQR 8 vs 12
  2. The box plots show scores on a geography test for Class A and Class B. Which class’s scores spread across a wider range, from lowest to highest?AB6065707580859095100Class A: range 24 vs 21
  3. After a math test, the scores of Class A (top) and Class B (bottom) were drawn as box plots. Compare the medians. Which class scored higher in the middle?AB405060708090100Class A: median 72 vs 66
  4. Scores from two classes on a vocabulary quiz are summarized below, Class A above Class B. Which class has the smaller interquartile range?AB505560657075808590Class B: IQR 7 vs 11
  5. Class A and Class B took the same spelling quiz. The box plots show their scores. Half of each class scored at or above its median. Which class has the higher median?AB4550556065707580Class B: median 62 vs 58
  6. Both classes, A and B, took a science test, and each class’s results appear as a box plot. In which class is the gap between the highest and lowest score larger? Compare the ranges.AB5560657075808590Class A: range 21 vs 16

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

How to do these

A box plot has Q1=20 and Q3=35. About what percent of the data lies between 20 and 35?

  1. The box runs from Q1 to Q3.
  2. Each of the four sections holds about a quarter of the values, and the box is two of them.

The answer is 50%.

Where students go wrong

Thinking a longer section holds more of the data. Each of the four sections holds about a quarter of the values; a long whisker means those values are spread out, not that there are more of them.

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.

Algebra 1 is usually taken around 8th or 9th 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.