Build fluency with box plots through 3 real-world practice problems. Students sort data, find the five-number summary (Min, Q1, Median, Q3, Max), calculate IQR, and watch the box plot draw itself as they fill in each value. Each problem features a different distribution shape, with instant feedback when answers are correct.
Help your 6th and 7th grade students master box plots with this interactive 3-problem practice worksheet, designed to build fluency with the five-number summary and box plot construction. Perfect for math teachers introducing Common Core standard 6.SP.B.4 or reinforcing Grade 7 statistics skills, this hands-on worksheet turns abstract data analysis into a visual, engaging experience.
Each of the three problems uses a real-world dataset that 6th and 7th graders can relate to. Students start with an unsorted list of values, arrange them from least to greatest, and identify the minimum, Q1 (lower quartile), median, Q3 (upper quartile), and maximum. They then calculate the interquartile range (IQR) and watch the box plot construct itself piece by piece as each value is entered. A green checkmark appears when all five values are correct, giving students immediate feedback.
Across the three problems, students encounter datasets with different distribution shapes, including symmetric data, data that leans to one side, and a dataset where one value stands out from the rest. This variety helps students build the visual intuition needed to read and interpret any box plot they encounter, whether on a standardized test, in a textbook, or in real-world data analysis.
Each worksheet generates a fresh randomized dataset for every student session, so students cannot simply copy answers from a classmate. The randomization preserves the intended distribution shape of each problem, ensuring consistent learning outcomes regardless of which numbers come up.
This box plot worksheet is ideal for middle school math practice, statistics review, data analysis lessons, and homework assignments. It pairs naturally with introductory reading materials covering box plot anatomy and construction, making it a complete classroom resource for teaching the five-number summary, quartiles, and interquartile range.
Key features:
Skills practiced: five-number summary, minimum, maximum, median, lower quartile (Q1), upper quartile (Q3), interquartile range (IQR), box plot construction, data sorting, distribution shape recognition.
Students will learn to summarize a dataset using the five-number summary (minimum, Q1, median, Q3, and maximum) and represent that summary visually as a box plot. Working through four short problems set in real-world contexts, students will sort data from least to greatest, identify each of the five values, calculate the interquartile range (IQR), and watch their box plot take shape as they fill in each piece. Along the way, students will notice how the shape of a box plot changes depending on how the data is spread out, including when most values cluster on one side or when a single value stands out from the rest. By the end of the worksheet, students will be able to construct a box plot from a dataset and describe what it shows about the data, building the foundation for Common Core standard 6.SP.B.4.
The worksheet supports randomization, if enabled, each student will get a different data set to create the box plots. This prevents copying of answers.
💡 Tip: When assigning this activity to your classroom, you can optionally enable randomization to give each student a unique version of the problems. When you re-assign the same worksheet, each student will get a new set of questions, helping them master the content through repeated practice.
Display numerical data in plots on a number line, including dot plots, histograms, and box plots.
All 6.SP.B.4 activities →Informally assess the degree of visual overlap of two numerical data distributions with similar variabilities, measuring the difference between the centers by expressing it as a multiple of a measure of variability. *For example, the mean height of players on the basketball team is 10 cm greater than the mean height of players on the soccer team, about twice the variability (mean absolute deviation) on either team; on a dot plot, the separation between the two distributions of heights is noticeable*.
All 7.SP.B.3 activities →More interactive, auto-graded activities on the same standards and topics.
Students will analyze dot plots representing real-world data, such as the ages of students participating in a school carnival. They will answer questions based on these plots. Each student will receive three unique sets of data and questions, encouraging individual analysis and critical thinking.
Students compare the sleep patterns of 7th and 8th graders using real-world data. They calculate mean, median, range, and IQR, then interpret histograms and make informal inferences about group differences. This worksheet supports randomization, so each student may receive different sleep data.
Students analyze test score data from two schools — one using tablets, the other using textbooks — to calculate mean, median, range, and IQR. They compare the distributions using numerical measures and histograms to draw conclusions about student performance.
Students collect and summarize data from a live classroom survey on topics like pets, siblings, and school routines. As they enter values, interactive charts update in real time. Students then analyze the graphs and answer summary questions. A fun way to learn data collection and interpretation!
Students will analyze four types of graphs: a scatter plot, a histogram, a bar chart, and a line chart. Their task is to interpret the data presented in each graph and answer specific questions related to the information.
Students put a data set in order, split it into halves, and find Q1, Q3 and the interquartile range one guided step at a time. Feedback names the exact mistake, and a number line shades the middle half once they get it right. 8 auto-graded questions, randomized for every student and aligned to 6.SP.B.5c. Assign it for a 20 to 30 minute practice block.
