Averages & Range Bundle

By the end of these four lessons your child can find the mode, median, mean and range of any list, read all four straight off a frequency table, and work backwards from an average to a missing number. Averages come up on almost every 11+ and GCSE Foundation paper, in test scores, temperatures, goals scored and survey results, and the four lessons teach the skills in the order they build on each other.

What's included:

• Mode, Median and Range - 5 units (The Mode, The Range, Median of an Odd List, Median of an Even List, Working Backwards), 102 questions
• Mean and Reverse Mean - 6 units (Finding the Mean, Total from the Mean, Reverse Mean, Range Mode and Median, When the Group Changes, Combining Groups), 112 questions
• Averages and Range from Tables - 5 units (Reading a Frequency Table, The Mode, The Range, The Median, The Mean), 53 questions
• Problems with Averages - 6 units (Changing the List, Hitting a Target Mean, Missing Numbers from Clues, What Changes and What Does Not, Two Groups Working Backwards, The Averages Grid), 102 questions

Your child works through each lesson on any screen. They play with the tool at the start of a unit, click to reveal each line of a worked example, set the practice questions out on paper, then click to check their own answer.

How it's structured:

• Each of the 22 units opens with a worked example your child clicks through one line at a time, then practice questions graded from easy up to the hardest thing that unit asks for
• 369 questions in total across the 4 lessons, every one with a click-to-reveal answer and a reveal-all option, and some question banks have a New Questions button that deals a fresh set whenever you want more
• Every lesson closes with its own mixed challenge pulling from all its units, with the questions deliberately unlabelled so your child has to work out which average is being asked for before they start

9 hands-on tools a printed worksheet cannot give you. A vote chart your child adds to and takes away from, so the mode is the tallest bar and a tie is something they can build on purpose. A number line that lets them lift the biggest and the smallest off it, leaving the range as the gap. A row of cards that puts itself in order, then crosses off from both ends until one card is left in the middle. A set of bars that levels off to one shared height, so the mean becomes a fair share instead of a formula. Two groups with their own sizes and means, showing why the combined mean is not simply halfway. A list of numbers that drops one at a time into a tally and frequency table. A chart where taking one value out or adding a new one moves the dashed mean line in front of them. A dot plot where adding the same amount to every value shifts the mean but holds the range still. And a grid of givens with gaps in it, which can be filled from several different directions.

Use this if:

• Your child is in Year 4 to Year 11 and mixes up the mode, the median and the mean
• You are preparing for the 11+ or GCSE Foundation, where averages, range, frequency tables and missing number questions all appear regularly
• Your child can find the mean of a short list but stalls the moment a question hides one of the numbers
• You want a resource your child can check their own work with, not one more thing on your to-do list

Built by an experienced maths teacher with over 3,000 hours of one-to-one tutoring experience and a Master's in Education.

Format: 4 interactive digital lessons, links sent by email straight after purchase.
Suitable for: Year 4 to Year 11, 11+, KS2, KS3, KS4, GCSE Foundation.

Who this is for

Built for students who want to practise independently, at their own pace, with clear examples and instant feedback rather than a static worksheet.