Prior Content: Basic Operations +-x/, Collecting Data Activities
Possible Next Steps: Grouped Data, Stem & Leaf, Box Plots, Cumulative Frequency, Bar Charts & Histograms
Contents
- 1.1 Mean, Median, Mode, and Range (All Together)
- 1.1.1 Mean
- 1.1.2 Median
- 1.1.3 Mode
- 1.1.4 Range
- 1.2 Inter-Quartile Range
- 2.1 Adjusting Means in Context
- 3.1 Comparing Summary Statistics
- Whole Topic Summary Resources (Including Past Paper Questions)
1.1 Mean, Median, Mode, and Range (All Together)
Teaching Videos, Exercises & Activities
Tutorial Videos
Online Platforms (with Videos & Exercises)
- Khan Academy
- Mean & median: Videos & practice
Activities & Resources
- mrbartonmaths.com Action Auction ppt
- interactive-maths.com Activity (Can Leave Numbers Out & Give Averages to Extend)
- Mathspad Averages Puzzles✦, Spot the Mistake
- Pixi Maths
- Averages ppt
- Averages Cross Number
- Averages from Tables Starter (just recap of Averages Tarsia without tables)
- Transum Squares Game Choose Your Average
- Andy Lutwyche
- Miss Konstantine (MathsHKO)
- Math = Love (Sarah Carter)
- TES
- Don Steward
- The Chalkface
- Averages with Limericks: PowerPoint · PowerPoint
- Transum
- Interactive Maths
- Listed Averages: QQI | 10QQI | Count Down | Relay | Bingo | Video
- Listed Averages: Worksheets
- Goal Free Problems
- Go Teach Maths
- Desmos
- Standards Unit S4 – Understanding Mean, Median and Mode (by Ben Sparks: digital version of Standards Unit S4)
- MathsPad
- variationtheory.com
- Dr Austin Maths
- Maths Venns
- OAT Maths
- Ticktock Maths
- Mode Median and Range lesson (slides)
- NCETM
Worksheets
- Dr Austin Maths
- Practice Strips (Word | PDF | Answers)
- Match-Up (Word | PDF | Answers)
- Practice Strips (Word | PDF | Answers)
- Crack the Code (Word | PDF | Answers)
- Practice Strips (Word | PDF | Answers)
- Fill In The Blanks (Word | PDF | Answers)
- Odd One Out (Word | PDF | Answers)
- Maths Challenge Questions (Word | PDF | Answers)
- Match-Up (Word | PDF | Answers)
- Give an Example (Word | PDF | Answers)
- Sort It Out (Word | PDF | Answers)
- Fill In The Blanks (Word | PDF | Answers)
- Odd One Out (Word | PDF | Answers)
- True or False (Word | PDF | Answers)
- Corbettmaths
- Mean, Median, Mode & Range Practice Questions & Solutions
- Mean, Median, Mode & Range Worksheet & Solutions
- Maths 4 Everyone
- CIMT MEP (online self-checking)
- Mathshelper (Jon Stone)
- Maths Genie
- Averages: Booklet · Worksheet · Solutions · Lesson · Topic page
- Kuta Software
- Access Maths
- MME
- 1st Class Maths
- Mr Morley Maths
- Averages and Spread: Notes jotter/worksheet · How-to sheet · Exam questions · Mark scheme
- Pret Homework (Jo Morgan)
- Mean, Median, Mode, Range✦ (Jo Morgan, docx)
- Pret Homework (@aap03102)
- Averages (@aap03102, pdf)
Dr Frost Resources
Dr Frost Video
K236: Find the Mean of Listed Data.
K237: Find the Mode of Listed Data.
K238: Find the Median of Listed Data.
K239: Find the Range of Listed Data.
K241: Determine a List of Integers Given Information About Their Mean, Median, Range and Mode.
Dr Frost Slides & Activities
- All in one summary sheet
Extra Questions
- Dr Frost Questions
Key Skills
Note all numbers are subject to change and will be updated once all key skills have been finished by Dr Frost
- 207d: Determine the median, mode and range from a table.
- 207e: Determine the median, mode and range from a chart.
- 207i: Determine the effect of an additional very large or very small value on the median and mean.
- 207j: Determine the change to the data that results in a change of the median, mode or range.
- 207k: Determine the median, mode and range from a list of algebraic data.
- 207l: Determine a list of integers given information about their mean, median, range and mode.
- 207: Exam Practice: Mode, median, range from listed data
Extension Materials
Activities & Resources
- NRich
- About Average Find the numbers that satisfy the conditions.
- Choose the Mean As Above
- Transum StatGrid Challenge
1.1.1 Mean
Teaching Videos, Exercises & Activities
Tutorial Videos
Corbett Maths The Mean
Online Platforms (with Videos & Exercises)
Activities & Resources
- Pixi Maths
- Averages ppt (Slides 11-14)
- Miss Konstantine (MathsHKO)
- Math = Love (Sarah Carter)
- Don Steward
- The Chalkface
- Mean Average: Excel (if macros are blocked: right-click the file › Properties › tick Unblock)
- PhET Interactive Simulations
- PhET Mean: Share and Balance Interactive Simulation (embedded below)
- Goal Free Problems
- Go Teach Maths
- BossMaths
- KennethStafford.co.uk
- Richard Tock
- variationtheory.com
- Mr Chapman Maths
- Mathematics Assessment Project
- Mr Coward Maths (@ashtonC94)
- NCETM
- Mean matching cards (NCETM Secondary Magazine issue 53)✦ (original by NCETM; copy hosted on Jo Morgan’s Drive)
- NCETM Key Idea: Understanding the mean (PowerPoint)
Worksheets
- Dr Austin Maths
- Maths 4 Everyone
- @taylorda01
- MadAsMaths (T. Madas)
- Practical Arithmetic Problem Solving Q8 (difficulty 3 of 5)
- Starting Points Maths
Dr Frost Resources
Dr Frost Video
K236: Find the Mean of Listed Data.
K240: Find a Missing Item Given the Mean and the Other Items.
Dr Frost Slides & Activities
- All in one summary sheet
Extra Questions
- Dr Frost Questions
Key Skills
Note all numbers are subject to change and will be updated once all key skills have been finished by Dr Frost
Extension Materials
Other Videos & Multimedia
Numberphile Don Bradman’s Duck
Activities & Resources
- NRich Bat Wings Find the missing values given the mean
1.1.2 Median
Teaching Videos, Exercises & Activities
Tutorial Videos
Corbett Maths The Median
Corbett Maths Halfway Between Two Numbers
Online Platforms (with Videos & Exercises)
Activities & Resources
- Pixi Maths
- Averages ppt (Slides 7-10)
- Transum
- Go Teach Maths
- BossMaths
- variationtheory.com
Worksheets
- Corbettmaths
- Finding the Midpoint of Two Numbers Practice Questions & Solutions
- Midpoint of Two Numbers Worksheet & Solutions
- @taylorda01
Dr Frost Resources
Dr Frost Video
K238: Find the Median of Listed Data.
Dr Frost Slides & Activities
- All in one summary sheet
Extra Questions
- Dr Frost Questions
Key Skills
Note all numbers are subject to change and will be updated once all key skills have been finished by Dr Frost
Extension Materials
1.1.3 Mode
Teaching Videos, Exercises & Activities
Tutorial Videos
Corbett Maths The Mode
Online Platforms (with Videos & Exercises)
Activities & Resources
- Pixi Maths
- Averages ppt (Slides 1-6)
- Go Teach Maths
- BossMaths
- NCETM
- NCETM Key Idea: Understanding the mode (PowerPoint)
Worksheets
Dr Frost Resources
Dr Frost Video
K237: Find the Mode of Listed Data.
Dr Frost Slides & Activities
- All in one summary sheet
Extra Questions
- Dr Frost Questions
Key Skills
Note all numbers are subject to change and will be updated once all key skills have been finished by Dr Frost
Extension Materials
1.1.4 Range
Teaching Videos, Exercises & Activities
Tutorial Videos
Corbett Maths The Range
Online Platforms (with Videos & Exercises)
Activities & Resources
- Pixi Maths
- Averages ppt (Slides 15-18)
- Go Teach Maths
- BossMaths
- variationtheory.com
Worksheets
- CIMT MEP (online self-checking)
Dr Frost Resources
Dr Frost Video
K239: Find the Range of Listed Data.
Dr Frost Slides & Activities
- All in one summary sheet
Extra Questions
- Dr Frost Questions
Key Skills
Note all numbers are subject to change and will be updated once all key skills have been finished by Dr Frost
Extension Materials
1.2 Inter-Quartile Range
Teaching Videos, Exercises & Activities
Tutorial Videos
Corbett Maths Quartiles from a List
Online Platforms (with Videos & Exercises)
- Khan Academy
- Interquartile range: Videos & practice
Activities & Resources
- Go Teach Maths treasure trove of activities & ppts
- Andy Lutwyche
- Transum
- Interactive Maths
- Quartiles & Interquartile Range: Video
- Go Teach Maths
- Ticktock Maths
Worksheets
Dr Frost Resources
Dr Frost Video
K552: Find Quartiles of Listed Data.
K553: Find the Interquartile Range of Listed Data.
Dr Frost Slides & Activities
- All in one summary sheet
Extra Questions
- Dr Frost Questions
Key Skills
Note all numbers are subject to change and will be updated once all key skills have been finished by Dr Frost
- 396a: Find quartiles of listed data.
- 396b: Find the interquartile range of listed data.
- 396c: Find the semi-interquartile range of listed data.
- 397a: Find deciles of listed data.
- 397b: Find percentiles of listed data.
- 397c: Find the inter-decile range of listed data.
- 397d: Find the inter-percentile range of listed data.
- 396: Exam Practice: Quartiles from discrete data
- 397: Exam Practice: Deciles and percentiles from discrete data (not yet active)
Extension Materials
2.1 Adjusting Means in Context
Teaching Videos, Exercises & Activities
Tutorial Videos
Corbett Maths Combined Mean
Online Platforms (with Videos & Exercises)
- Khan Academy
- Adjusting the mean: Videos & practice
Activities & Resources
- Mr Mathematics Lesson resources including excel spreadsheet where values can be hidden
- NRich Kate’s Date
- Pixi Maths
- Don Steward
- Goal Free Problems
- Go Teach Maths
Worksheets
- Dr Austin Maths
- Access Maths Reverse Mean
- Pixi Maths
- MadAsMaths (T. Madas)
- Practical Arithmetic Problem Solving Q19 (difficulty 4 of 5)
- Equations Exam Questions I Q45 (difficulty 4 of 5)
Dr Frost Resources
Dr Frost Video
K240: Find a Missing Item Given the Mean and the Other Items.
K242: Determine the Value That Resulted in a Change of Mean.
K243: Determine the Resulting Mean When a Value is Removed.
K244: Determine the Combined Mean of Two Groups.
K245: Determine the Mean of One Group Given the Combined Mean and the Mean of the Other Group.
Dr Frost Slides & Activities
- All in one summary sheet
Extra Questions
- Dr Frost Questions
Key Skills
Note all numbers are subject to change and will be updated once all key skills have been finished by Dr Frost
- 208a: Determine an unknown value given the mean and the other listed values.
- 208b: Determine the value that resulted in a change of mean.
- 208c: Determine the resulting mean when a value is removed or added.
- 208d: Determine the combined mean of two groups.
- 208e: Determine the mean of one group given the combined mean and the mean of the other group.
- 538a: Determine the weighted mean of two values. (not yet active)
- 538b: Determine the weighted mean of three or more values. (not yet active)
- 538c: Determine the weighted mean in context. (not yet active)
- 538d: Determine an unknown frequency given the weighted mean, associated weights and all other frequencies. (not yet active)
- 208: Exam Practice: Combining means or dealing with changes to a mean
- 538: Exam Practice: Weighted mean
Extension Materials
3.1 Comparing Summary Statistics
Teaching Videos, Exercises & Activities
Tutorial Videos
Online Platforms (with Videos & Exercises)
- Khan Academy
- Comparing data displays: Videos & practice
Activities & Resources
- Mr Mathematics Lesson resources including presentation and worksheet
- Pixi Maths
- Averages ppt (Slides 21 Onwards)
- Andy Lutwyche
- Math = Love (Sarah Carter)
- Don Steward
- PhET Interactive Simulations
- PhET Center and Variability Interactive Simulation (embedded below)
- Transum
- Goal Free Problems
- Go Teach Maths
- thewessens.net Classroom Apps
- Exploring Data (compare two samples using more than just averages)
- BossMaths
- Ticktock Maths
- Problem Solving with Averages lesson (slides)
- NCETM
- NCETM Key Idea: Comparing two data sets (PowerPoint)
Worksheets
- Pixi Maths
- CIMT MEP (online self-checking)
Dr Frost Resources
Dr Frost Slides & Activities
- All in one summary sheet
Extra Questions
- Dr Frost Questions
Key Skills
Note all numbers are subject to change and will be updated once all key skills have been finished by Dr Frost
- 132d: Compare two sets of data using the mean.
- 207f: Select an appropriate average for a given context.
- 207g: Compare two sets of data using the range.
- 207h: Compare two sets of data using median and range.
- 396f: Compare two sets of data based on their medians and interquartile ranges.
- 397e: Compare two sets of data using deciles and percentiles, or the inter-decile or inter-percentile ranges.
- 402e: Determine skewness of a data set by comparing its mean, median and mode. (not yet active)
- 402f: Compare two sets of data by considering their skewness. (not yet active)
- 403a: Compare two data sets, where one is represented in a diagram and the other as a set of summary statistics.
- 132: Exam Practice: Mean as an average
- 207: Exam Practice: Mode, median, range from listed data
- 396: Exam Practice: Quartiles from discrete data
- 397: Exam Practice: Deciles and percentiles from discrete data (not yet active)
- 402: Exam Practice: Understanding the shape of data, including skewness
- 403: Exam Practice: Comparing data sets using different representations
Extension Materials
Whole Topic Summary Resources (Including Past Paper Questions)
Download Averages PPQs as WW Powerpoint for Edexcel IGCSE, AQA GCSE, Edexcel GCSE or OCR GCSE (or all GCSE together)
Other Whole Topic Resources
Acute Learning Problem Pairs
- Averages and the range as PowerPoint or PDF
Worksheets
- Dr Austin Maths
- kutasoftware worksheet finding values from data representations
- Maths 4 Everyone
- MathedUp
- Averages & Range: Worksheet · Practice · Quiz · Question Gallery
- Physics & Maths Tutor
Activities
- NRICH (student problems)
- Don Steward
- The Chalkface
- Bank Notes Frequency Table: PDF
- Dr Austin Maths
- Colin Foster
External Whole Topic Past Paper Style Questions
- Transum
- Exam-style questions: Statistics
- NCETM
✦ Links marked ✦ are also featured and recommended by Jo Morgan on Resourceaholic.