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.
In this real-world 7th grade math worksheet, students investigate whether students perform better when learning from tablets or traditional textbooks. Using test score data from two schools, they will calculate and compare measures of center (mean and median) and measures of variability (range and interquartile range) to draw meaningful conclusions about performance and consistency.
This engaging activity strengthens student understanding of data distributions, supports visual data interpretation through histograms, and aligns to Common Core standards related to statistical comparison of two populations.
Students will calculate and compare measures of center (mean and median) and measures of variability (range and interquartile range) for two sets of test score data. By analyzing and interpreting both numerical summaries and histograms, students will draw informal comparative inferences about the performance of students using tablets versus textbooks.
This worksheet supports randomization. Each student may receive a different set of test scores for both schools. While the general patterns will remain consistent (one dataset more variable, one with higher median), the specific values and student responses will vary. All calculations, histogram analysis, and conclusions should be based on each student’s unique dataset.
💡 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.
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 →Use measures of center and measures of variability for numerical data from random samples to draw informal comparative inferences about two populations. *For example, decide whether the words in a chapter of a seventh-grade science book are generally longer than the words in a chapter of a fourth-grade science book*.
All 7.SP.B.4 activities →
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