Statistics & Probability

Grade 7 statistics and probability is the year students stop treating data as a pile of numbers and start asking what those numbers actually say. The standards push them to reason from samples about populations, to describe how spread out a distribution really is, and to think about probability as a measurable number rather than a vague feeling. That’s a big leap, and most textbooks try to make it in a couple of chapters. This nine-week program gives the topic the time it needs.

Each week opens with a short concept passage and a worked example before any practice problems show up. We do this on purpose. A student who jumps straight into a worksheet on interquartile range without seeing why anyone would bother computing one tends to forget the procedure by next Tuesday. The reading is short — usually under a page — but it answers the “what is this for” question that drives almost all of the trouble in middle school stats.

The first two weeks cover populations and samples. Students learn what makes a sample random, why that matters, and how to scale up from a sample to a prediction about the whole group. Weeks 3 and 4 take on the measures themselves: mean, median, and mode in week 3, then range, interquartile range, and mean absolute deviation in week 4. Week 5 puts two distributions side by side and asks the comparison question the standards actually care about — how different are these groups, and by how much?

The back half of the program is probability. Week 6 anchors probability as a number between 0 and 1 and introduces both the theoretical and experimental sides. Week 7 builds probability models from data and distinguishes uniform from non-uniform models, which is the standard most students stumble on. Week 8 moves to compound events, sample spaces, and tree diagrams. Week 9 is a capstone — multi-step problems that braid sampling, variability, probability models, and compound events into the kind of question students will actually see on an assessment.

All nine weeks align directly to Common Core 7.SP standards (7.SP.A.1 through 7.SP.C.8), and the practice problems are scaffolded — earlier sheets in each week build skills that the later sheets combine. Answer keys are included for every worksheet, with the work shown for the harder problems so a parent or tutor can spot where reasoning went off the rails rather than just whether the final answer matched.

Print the PDFs at home and use them in whatever order fits your schedule. Homeschool families tend to work one week at a time across five days. Tutors often pull a single worksheet to fill a gap. Either way works — the materials are free, the pedagogy stays the same, and your seventh grader gets the kind of structured introduction to statistics that the standards intend.