Averages and range
Describe, interpret, and compare observed distributions of a single variable using measures of central tendency (mean, median, mode) and spread (range), including choosing a suitable average and the effect of outliers; comparisons describe the observed data sets themselves and do not yet scale the difference in centres by a measure of variability or generalise from samples to wider populations
Lesson
Set out your lesson
“Averages and range means practising the idea at the table with counters or paper models and one clear check. We will demo once, then your child tries.”
Bring to the table
- Tally sheet or simple bar/dot sketch
- A short set of category counts
Extra for the adult
Worked example. Cats 4, dogs 2 — cats have more. The tally and comparison are the proof.
Optional challenge. For Averages and range, add one harder example after success.
What to notice. Keep one parent note: examples tried; results; support used. This session samples Averages and range, not mastery.
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1 approach
Averages and range means practising the idea at the table with counters or paper models and one clear check. We will demo once, then your child tries.
Materials: Tally sheet or simple bar/dot sketch; A short set of category counts. 1. Say the goal of Averages and range in plain words once. 2. Adult tallies one category and sketches a bar or dot plot. 3. Child tallies three small data sets and compares the tallest category. 4. Fresh check: one fresh tally comparison. Record and stop. Done: three correct tallies with a comparison sentence each. Proof: parent note of examples and results. Stop: End after the fresh check; keep optional challenge for another day.
Family records and proof options
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Practice this concept
Start practiceAverages and range practice
Practice key ideas from Averages and range.
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Learning resources
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NRICH · Practice link — not the full lesson
Secondary
Before you open · source notes
Secondary supports Averages and range. An adult previews and guides; this is a learning page, not a scored quiz.
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Before you openAsk the learner one fact they learned and one question they still have.
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Source, access and review notes
Public NRICH page. An anonymous GET on 2026-11-12 returned HTTP 200 with no login or payment prompt for this URL. Opening the link does not save practice or assess mastery. An adult should preview and guide the learner.
NRICH. “Secondary.” External page; Gakuva does not copy, host, embed, or redistribute materials.
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Check understanding
- Find the mean, median and mode of 3, 5, 5, 6, 11 (6, 5 and 5) and say which average best represents a typical value
- Find the range of 12, 14, 15, 15, 48 and explain why the outlier 48 pulls the mean (20.8) well above the median (15)
- Compare two classes' spelling scores using their medians and ranges and write one conclusion about which class did better and one about which was more consistent
“If your child had the test scores of a whole class, could they find the mean, median, and range, and explain what each tells you about how the class performed?”
Curriculum record
- Type
- Procedural
- Subject
- Mathematics
- Domain
- Data & Statistics
- Age range
- Ages 11–13
Standards