Without Panic Maths · Statistics 11

Averages 1: Mean, Median and Mode

“Average” can mean three different things. This pack teaches you the mode, the median and the mean, how to find each one, how to work backwards from a mean, and how to choose the average a question is asking for.

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Mini-lessons
7
Questions
117
Student Pack
75 pages
Suggested year
Year 8

What you get

  • Student Pack (PDF, 75 pages)
  • Teacher Pack (PDF) with every answer and reteach cards
  • Print as many copies as you need for your own pupils

Save with a bundle

  • Averages3 packs · £10.50 £9
  • Statistics, Year 86 packs · £21 £19
  • Statistics: complete strand18 packs · £56 £49

What this pack does

What pupils learn

“Average” can mean three different things. This pack teaches you the mode, the median and the mean, how to find each one, how to work backwards from a mean, and how to choose the average a question is asking for.

The mini-lessons

  1. “Average” is not one single method
  2. Mode: look for the highest frequency
  3. Median: order first, then find the middle
  4. Median with an even number of values
  5. Mean: share the total equally
  6. Work backwards from a mean
  7. Same data, different averages

Inside every pack

What each part of the page is for

  1. Confidence check

    Pupils tick how a topic feels before they start, and again at the end. There are no marks, so it's an honest picture of where they are.

  2. Short mini-lessons

    Each topic is split into small steps. Every mini-lesson opens with one big idea and a short, plain-English explanation.

  3. Visuals for every idea

    Diagrams such as a formula 'rule machine' or a place-value picture show the maths, so pupils can see it as well as read it.

  4. Worked examples

    Every method is modelled step by step before pupils try it, with each stage labelled so they can follow it on their own.

  5. Scaffolded practice

    Questions start with prompts (what do you need to find, follow the example, check it makes sense) and gradually ask for more independence.

  6. Spot the trap

    Common mistakes are named before pupils make them, and Mistake Detective questions ask them to find and fix errors.

  7. Pause and think

    Short 'explain it in your own words' prompts check that pupils understand why the maths works, not just how.

  8. Teacher Pack with answers

    Every pack comes with a Teacher Pack: all the answers, plus reteach cards saying what to watch for, what to say, and what to try if a pupil is still stuck.

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Data Language Foundations

Statistics starts with information. Before charts or averages, you need to know what the information is saying. This pack teaches the small set of words that statistics keeps using.

Statistics 2 · Year 7

Collecting Data and Questionnaires

Before you can draw a chart or find an average, someone has to collect the data. This pack is about doing that well: choosing a sensible method, writing fair questions, choosing who to ask, and spotting bias.

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