Description

Help students master grouped data with an IB‑aligned, student‑friendly mini‑unit that teaches how to build grouped frequency tables, when and how to use frequency density with unequal class widths, how to draw and read frequency density histograms, and how to estimate the mean using midpoints. Clear objectives and examples keep the focus tight: organize data, compute frequency density, create/read histograms, and estimate the mean from grouped data.

Why it helps students

• Walks them from raw data to grouped tables and histograms, including when unequal class widths are appropriate.

• Makes the “why” of frequency density explicit so histograms stay faithful to the data even with unequal intervals.

• Builds correct IB habits (e.g., write your calculation setup before using the calculator to protect method marks).

Why it helps teachers

• A ready‑to‑teach lesson with concise slides that define frequency density, emphasize when to use it, and model axis labeling/titles for histograms.

• Guided notes (fill‑in‑the‑blank style) structure classwork from building tables to estimating the mean, including a formula section for frequency density.

• Homework reinforces core skills with IB‑style tasks (choose the right graph type, complete tables, draw histograms, estimate means, compare estimated vs. actual). Solutions are fully worked so you can grade fast and diagnose misconceptions.

What’s covered (student outcomes)

• Build grouped frequency tables from raw data (e.g., mile times example).

• Decide when unequal class widths improve clarity and why.

• Compute frequency density and explain its purpose.

• Create and interpret frequency density histograms (x‑axis intervals, y‑axis frequency density) with proper labels and titles.

• Estimate the mean from grouped data using midpoints; understand the limitation that individual data values are unknown.

• Apply skills to novel contexts (e.g., reading a histogram to reconstruct a table; using scale factors for bar heights).

What’s included

• Editable Lesson (PPTX): step‑by‑step slides introducing grouped tables, frequency density, histograms, and mean estimation; includes reminders to write setups before calculator work.

• Guided Notes (PDF): fill‑in‑the‑blank structure with a Frequency Density Formula section, practice tables, histogram prompts, and mean‑estimation exercises.

• Homework Set (PDF): mixed routine + IB‑style problems: choose appropriate graph; complete grouped tables; draw histograms; estimate means; compare estimated vs. actual mean and percent error; apply to contexts (e.g., dog masses and scale factors). Rounding guidance included (3 s.f.).

• Answer Key (PDF): fully worked solutions and sample values (e.g., estimated mean 25.3; family ages mean comparison; dog mass mean 20.9 kg; bar‑height scale worked through).