Prior content: GCSE Averages, GCSE Grouped Data
Previous Section: The Large Data Set (Edexcel)
Next Section: Representing Data
Contents
- Whole Topic Notes
- 2AB Mean Median Mode
- 2C Quartiles & Interpolation
- 2D IQR & Other Ranges
- 2E Variance & Standard Deviation
- 2F Coding
- Whole Topic Summary Resources (Including Past Paper Questions)
Whole Topic Notes
Download Full Topic Slides
- Textbook Notes as PPTs (Courtesy of Owen134866)
Full Notes to Accompany Slides
Dr Frost
- Dr Frost Measures of Location and Spread Section
- Dr Frost Measures of Location & Spread Slides & Supplementary Questions✦
- Blank Notes to Follow Slides Word Doc or PDF (Courtesy of King’s Chester Maths Department)
Acute Learning Whole Chapter Problem Pairs
2AB Mean Median Mode
Textbook resources
Courtesy of Owen134866 and Haberdashers’ Adams Maths Dept.
Dr Frost resources
Bicen Maths Live Lesson
Live Lesson Using Dr Frost Based Slides Courtesy of Bicen Maths
Download Blank Notes
(Courtesy of King’s Chester Maths Department)
Download Slides
Exam Practice
Extra Questions
Key Skills
Note all numbers are subject to change and will be updated once all key skills have been finished by Dr Frost
- 532a: Calculate Sigma x for a variable.
- 532b: Calculate the mean of a discrete variable using the formula barx = Sigma x/n
- 532c: Calculate the mean of a grouped continuous variable using the formula barx = Sigma fx/Sigma f
- 312b: Estimate the mean from a grouped frequency table.
- 313a: Identify the modal class from a grouped frequency table.
- 313b: Identify the class interval of the median for a grouped frequency table.
- 532: Exam Practice: Sigma notation and mean in a statistical context
- 312: Exam Practice: Estimating the mean from grouped frequency tables
- 313: Exam Practice: Modal and median class interval and estimate of the range from a grouped frequency table
Further Practice
Other resources
Other Videos
Courtesy of Maths Genie
Alternative Handouts
- Acute Learning Problem Pairs as PowerPoint or PDF
Activities
- WW Course Support GCSE Averages, GCSE Grouped Data
Online Platforms
- Khan Academy
- Summary statistics (averages & spread): Videos & practice
Worksheets
- 1st Class Maths
2C Quartiles & Interpolation
Textbook resources
Courtesy of Owen134866 and Haberdashers’ Adams Maths Dept.
Dr Frost resources
Bicen Maths Live Lesson
Live Lesson Using Dr Frost Based Slides Courtesy of Bicen Maths
Download Blank Notes
(Courtesy of King’s Chester Maths Department)
Download Slides
Exam Practice
Extra Questions
Key Skills
Note all numbers are subject to change and will be updated once all key skills have been finished by Dr Frost
- 544a: Estimate frequency for part of a group in a grouped frequency table.
- 544b: Estimate the median of grouped data using interpolation.
- 544c: Estimate the median of grouped data where intervals have gaps.
- 544d: Determine quartiles or percentiles of grouped data using interpolation.
- 396a: Find quartiles of listed data.
- 397a: Find deciles of listed data.
- 397b: Find percentiles of listed data.
- 544: Exam Practice: Interpolation to determine median, quartiles and percentiles
- 396: Exam Practice: Quartiles from discrete data
- 397: Exam Practice: Deciles and percentiles from discrete data (not yet active)
Further Practice
Other resources
Other Videos
Alternative Handouts
- Acute Learning Problem Pairs as PowerPoint or PDF
Activities
- The Chalk Face Baby Percentiles✦
Worksheets
- NaikerMaths Interpolation Exam Questions✦ & Solutions✦
2D IQR & Other Ranges
Textbook resources
Courtesy of Owen134866 and Haberdashers’ Adams Maths Dept.
Dr Frost resources
Bicen Maths Live Lesson
Live Lesson Using Dr Frost Based Slides Courtesy of Bicen Maths
Download Blank Notes
(Courtesy of King’s Chester Maths Department)
Download Slides
Exam Practice
- Exam Practice (Same as 2C)
Extra Questions
Key Skills
Note all numbers are subject to change and will be updated once all key skills have been finished by Dr Frost
- 544e: Estimate the interquartile range from a grouped frequency table using interpolation.
- 544f: Estimate the inter-decile or inter-percentile range from a grouped frequency table using interpolation. (not yet active)
- 396b: Find the interquartile range of listed data.
- 396c: Find the semi-interquartile range of listed data.
- 397c: Find the inter-decile range of listed data.
- 397d: Find the inter-percentile range of listed data.
- 544: Exam Practice: Interpolation to determine median, quartiles and percentiles
- 396: Exam Practice: Quartiles from discrete data
- 397: Exam Practice: Deciles and percentiles from discrete data (not yet active)
Further Practice
- Practise Questions (Same as 2C)
Other resources
Alternative Handouts
- Acute Learning Problem Pairs as PowerPoint or PDF
Activities
- PhET Interactive Simulations
- PhET Center and Variability Interactive Simulation (embedded below)
Online Platforms
- Khan Academy
- Box plots, quartiles & outliers: Videos & practice
2E Variance & Standard Deviation
Textbook resources
Courtesy of Owen134866 and Haberdashers’ Adams Maths Dept.
Mr Tompkins EdTech using a classwiz with grouped data to find variance and s.d.
Dr Frost resources
Bicen Maths Live Lesson
No Bicen Maths Leve Lesson for this Section
Download Blank Notes
(Courtesy of King’s Chester Maths Department)
Download Slides
Exam Practice
Extra Questions
Key Skills
Note all numbers are subject to change and will be updated once all key skills have been finished by Dr Frost
- 534a: Understand the meaning of standard deviation and compare data sets using it.
- 534b: State the effect on standard deviation where a value is added, removed, or corrected in the data set.
- 534c: Calculate the standard deviation of listed data, using formulae.
- 534d: Calculate the variance of listed data, using formulae.
- 534e: Calculate the variance or standard deviation of listed data, using a calculator.
- 534f: Calculate the variance or standard deviation given sum x and sum x2
- 534g: Determine the variance or standard deviation of grouped data.
- 534h: Determine the variance of two combined data sets. (not yet active)
- 534: Exam Practice: Variance and standard deviation of grouped or ungrouped data
Further Practice
Other resources
Other Videos
Alternative Handouts
- Acute Learning Problem Pairs as PowerPoint or PDF
Resources
- WW Proof of Variance Formula
- Tim Brzezinski Interactive Geogebra Standard Deviation & With Outliers
Worksheets
- Jethwa Maths Starter Activity (p1-8) Everything to this Point
- Mathshelper (Jon Stone)
- MathedUp
- Maths Genie
- Variance and Standard Deviation: Questions · Solutions · Lesson · Topic page
- 1st Class Maths
- Jo Morgan
- MadAsMaths (T. Madas)
- Data Analysis Discrete Data Q15–17 (difficulty 1 of 5)
- Data Analysis Exam Questions Q30, 31, 33 (difficulty 4 of 5)
- Starting Points Maths
Activities
- Math = Love (Sarah Carter)
- Don Steward
- Ben Sparks (GeoGebra)
- Sampling Demo (RMS vs SD): GeoGebra
- Transum
2F Coding
Textbook resources
Courtesy of Owen134866 and Haberdashers’ Adams Maths Dept.
Tutorial Videos
Edexcel AS Level Maths: 2.5 Coding (Mean and Standard Deviation) by Zeeshan Zamurred
Coding in Statistics (mean and standard deviation)| ExamSolutions by ExamSolutions
A-Level Maths: L3-17 [Data: Introducing Linear Coding] by TLMaths
A-Level Maths: L3-18 [Data: Example of Linear Coding] by TLMaths
Dr Frost resources
Bicen Maths Live Lesson
No Bicen Maths Leve Lesson for this Section
Download Blank Notes
(Courtesy of King’s Chester Maths Department)
Download Slides
Exam Practice
Extra Questions
Key Skills
Note all numbers are subject to change and will be updated once all key skills have been finished by Dr Frost
- 545a: State the effect of a coding on measures of location and spread.
- 545b: Calculate the mean of coded data.
- 545c: Calculate the standard deviation of coded data.
- 545d: Determine the mean and standard deviation given the coded mean and standard deviation.
- 545e: Determine the linear coding from one data set to another. (not yet active)
- 545f: Calculate the average of data more efficiently by first coding the data. (not yet active)
- 545: Exam Practice: Coding data
Further Practice
Other resources
Alternative Handouts
- Acute Learning Problem Pairs as PowerPoint or PDF
Worksheets
- Jethwa Maths Starter Activity (p13-14)
- 1st Class Maths
- MadAsMaths (T. Madas)
- Data Analysis Data Coding Q1–6 (difficulty 1 of 5)
- Data Analysis Exam Questions Q15, 18, 20, 22, 28, 32, 34 (difficulty 3–4 of 5)
Whole Topic Summary Resources (Including Past Paper Questions)
Download PPQs as WW Powerpoint for AS Data Processing
Download PPQs as WW Powerpoint for A2 Data Processing
External Whole Topic Past Paper Style Questions
- Jethwa Maths Starter Activities
- NaikerMaths Measures of Location and Spread Exam Questions✦ & Solutions✦
- Mathsaurus Collection of PPQ for All Boards (Video Solutions Pending) Includes Boxplots & Outliers
- Dr Frost Topic Test✦ (Teacher Log in Required)
- PMT Cheat Sheet
Other Resources
- Lucyjc1612 Summary Poster (Measures of Location & Spread)
Worksheets
- Maths Genie
- Measures of Location and Spread: Questions · Solutions · Lesson · Topic page
- Mathsaurus (Kevin Olding)
- Physics & Maths Tutor
- Data Presentation and Interpretation: Questions 2021–24 · Mark scheme · Model answers · Questions 2018–21 (with MS) · Model answers
- Data Presentation and Interpretation (A-level papers): Questions 2021–24 · Mark scheme · Model answers
- 1st Class Maths
- MadAsMaths (T. Madas)
- Data Analysis Discrete Data Q1–14; Continuous Data Q1–5 (difficulty 1 of 5)
- Data Analysis Exam Questions Q1–8, 10, 11, 13, 24, 26, 27 (difficulty 2–3 of 5)
Activities
- Dan Walker
- Making Statistics Vital
- James Tanton
- Andy Lutwyche
✦ Links marked ✦ are also featured and recommended by Jo Morgan on Resourceaholic.