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.
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Sigma Prep · sigmaprep.io/worksheets Name Box and Whisker Plots Date Period Use the plot to answer each question.
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.
Free math worksheets at sigmaprep.io/worksheets© 2026 Sigma Prep |
How to do these
A box plot has and . Find the interquartile range
- The interquartile range is the width of the box.
- 20 minus 12.
The answer is .
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 →
- The five-number summary from a list
- Find the median:
. → - What percent of the data lies in a section
- Use the box plot to estimate what percent of the data values are less than . — a box plot from 3 to 10, median 8 →
- Make a box plot from data
- Make a box plot of the data: , , , , , , , , . For quartiles, split the data at the median, and leave the median out of both halves when the count is odd. → Min , Q1 , median , Q3 , max
- Decimal data, or a longer list
- Make a box plot of the data: , , , , , , , , , , , , , , , . For quartiles, split the data at the median, and leave the median out of both halves when the count is odd. → Min , Q1 , median , Q3 , max
- 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 vs