Representing Data

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AS Maths – Statistics – Outliers

Courtesy of Owen134866 and Haberdashers’ Adams Maths Dept.

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3A Slides (Courtesy of Owen134866)

Bicen Maths Live Lesson

No Bicen Maths Video Yet

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(Courtesy of King’s Chester Maths Department)

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• Dr Frost Slides 1-16✦ (includes Box Plots)

Extra Questions

• Dr Frost Questions (Short and only uses 1.5 x IQR)

Key Skills

Note all numbers are subject to change and will be updated once all key skills have been finished by Dr Frost

• 536a: Identify an outlier from listed data using the interquartile range.
• 536b: Identify an outlier from listed data using the standard deviation.
• 536: Exam Practice: Outliers

Other Videos

Calculating Outliers and drawing them on a Box Plot

Courtesy of Maths Genie (Includes Boxplots)

Alternative Handouts

• Acute Learning Problem Pairs as PowerPoint or PDF

AS Maths – Statistics – Box Plots

Courtesy of Owen134866 and Haberdashers’ Adams Maths Dept.

Download Blank Notes

Download Slides

3B Slides (Courtesy of Owen134866)

Bicen Maths Live Lesson

No Bicen Maths Video Yet

Download Blank Notes

(Courtesy of King’s Chester Maths Department)

Download Slides

• Dr Frost Slides 1-16✦

Exam Practice

• Exam Practice

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

• 399a: Read a value from a box plot.
• 399b: Draw a box plot where the quartiles have been calculated.
• 399c: Draw a box plot using listed data.
• 399e: Understand the proportions shown in a box plot.
• 399f: Compare the distribution of two box plots.
• 536c: Draw a box plot with outliers (using interquartile range for the outlier boundary).
• 536d: Draw a box plot with outliers (using standard deviation for the outlier boundary).
• 399: Exam Practice: Box plots / box and whisker diagrams (excluding outliers)
• 536: Exam Practice: Outliers

Further Practice

• Practise Questions

Other Videos

Calculating Outliers and drawing them on a Box Plot

Courtesy of Maths Genie (Includes Boxplots)

Alternative Handouts

• Acute Learning Problem Pairs as PowerPoint or PDF

Activities

• WW Course Support GCSE Box Plots

Worksheets

• Jethwa Maths Starter Activity (p1-2)
• Mathsaurus Collection of PPQ for All Boards (Video Solutions Pending)
• Maths Genie
  • Box Plots: Questions · Solutions · Lesson · Topic page
• Naiker Maths
  • Box Plots: Exam Qs 2005–11 · Mark scheme
• 1st Class Maths
  • Outliers, box plots and cumulative frequency exam-style questions✦ (answers✦)
• MadAsMaths (T. Madas)
  • Data Analysis Discrete Data Q1–8, 10–13 (difficulty 1 of 5)
  • Data Analysis Exam Questions Q1–3, 5 (difficulty 2 of 5)

AS Maths – Statistics – Cumulative Frequency

Courtesy of Owen134866 and Haberdashers’ Adams Maths Dept.

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3C Slides (Courtesy of Owen134866)

Bicen Maths Live Lesson

No Bicen Maths Video Yet

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(Courtesy of King’s Chester Maths Department)

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• Dr Frost Slides 17-19✦

Exam Practice

• Exam Practice

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

• 398a: Form a cumulative frequency table from a grouped frequency table.
• 398b: Interpret a cumulative frequency table.
• 398c: Draw a cumulative frequency curve given a continuous cumulative frequency table.
• 398d: Draw a cumulative frequency curve given a continuous, grouped frequency table.
• 398e: Use a cumulative frequency curve to estimate the median.
• 398f: Use a cumulative frequency curve to estimate the interquartile range.
• 398g: Use a cumulative frequency curve to estimate values.
• 398h: Use a cumulative frequency curve to estimate a percentile or decile.
• 398i: Use a cumulative frequency curve to estimate the inter-decile or inter-percentile range.
• 398j: Form a cumulative frequency table from a discrete, ungrouped frequency table.
• 398k: Draw a cumulative frequency step-polygon given a discrete, ungrouped frequency table.
• 398l: Compare the distribution of two cumulative frequency graphs.
• 399d: Draw a box plot from a cumulative frequency diagram.
• 399g: Compare a cumulative graph with a box plot.
• 398: Exam Practice: Cumulative frequency graphs
• 399: Exam Practice: Box plots / box and whisker diagrams (excluding outliers)

Further Practice

• Practise Questions

Other Videos

Cumulative Frequency

Courtesy of Maths Genie

Alternative Handouts

• Acute Learning Problem Pairs as PowerPoint or PDF

Activities

• WW Course Support GCSE Cumulative Frequency

AS Maths – Statistics – Histograms

Courtesy of Owen134866 and Haberdashers’ Adams Maths Dept.

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3D Slides (Courtesy of Owen134866)

Bicen Maths Live Lesson

No Bicen Maths Video Yet

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(Courtesy of King’s Chester Maths Department)

Download Slides

• Dr Frost Slides 20-40✦

Exam Practice

• Exam Practice

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

• 401a: Complete a histogram from a frequency table.
• 401b: Complete a frequency table from a histogram.
• 401c: Use a single frequency to determine another for a given range on a histogram.
• 401d: Determine the total frequency from a histogram given one frequency.
• 401e: Estimate a frequency in a given range from a histogram.
• 401f: Determine a probability or proportion of a range from a histogram.
• 401g: Find the physical dimensions of a histogram bar.
• 401h: Estimate the mean from a histogram.
• 401i: Estimate the median from a histogram.
• 401j: Estimate a quartile, decile or percentile from a histogram.
• 401k: Compare two sets of data by considering their histograms.
• 536e: Estimate the number of outliers using a histogram. (not yet active)
• 401: Exam Practice: Histograms and frequency density (unequal class widths)
• 536: Exam Practice: Outliers

Further Practice

• Practise Questions

Other Videos

Histograms

Histogram Scale Factor Questions

Courtesy of Maths Genie

Enrichment Video

Number 1 and Benford's Law – Numberphile

Numberphile: Number 1 and Benford's Law

Alternative Handouts

• Acute Learning Problem Pairs as PowerPoint or PDF

Activities

• MEI Histogram Reconstruction✦
• WW Course Support Histograms

Worksheets

• Jethwa Maths Starter Activity 1 (p9-10)
• Jethwa Maths Starter Activity 2 (p3-6)
• NaikerMaths Histograms Exam Questions✦ & Solutions✦
• Mathsaurus Collection of PPQ for All Boards (Video Solutions Pending)
• Maths Genie
  • Histograms: Questions · Solutions · Lesson · Topic page
• Mathsaurus (Kevin Olding)
  • Histograms (exam questions)
• 1st Class Maths
  • Histograms exam style questions✦ (answers✦)
• MadAsMaths (T. Madas)
  • Data Analysis Histograms Q1–10 (difficulty 1 of 5)
  • Data Analysis Exam Questions Q9, 12, 14, 16, 17, 19, 21, 23, 25, 29 (difficulty 3–4 of 5)

AS Maths – Statistics – Comparing Data

Courtesy of Owen134866 and Haberdashers’ Adams Maths Dept.

Tutorial Videos

A-Level Maths: L1-03 [Data: Comparing Box Plots]

A-Level Maths: L1-03 [Data: Comparing Box Plots] by TLMaths

Skewness – How the mean, median or quartiles compare : ExamSolutions Maths Revision

Skewness – How the mean, median or quartiles compare : ExamSolutions Maths Revision by ExamSolutions

Mean and standard deviation versus median and IQR | AP Statistics | Khan Academy

Mean and standard deviation versus median and IQR by Khan Academy

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Download Slides

3E Slides (Courtesy of Owen134866)

Bicen Maths Live Lesson

No Bicen Maths Video Yet

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

• 402a: Determine whether data is unimodal or bimodal. (not yet active)
• 402b: Identify where data is clustered. (not yet active)
• 402c: Describe the skewness of a given frequency diagram or histogram. (not yet active)
• 402d: Describe the skewness of a given box plot. (not yet active)
• 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.
• 402: Exam Practice: Understanding the shape of data, including skewness
• 403: Exam Practice: Comparing data sets using different representations

Alternative Handouts

• Acute Learning Problem Pairs as PowerPoint or PDF

Activities

• Standards Unit Interpreting Frequency Graphs, Cumulative Frequency Graphs, Box and Whisker Plots✦
• Math = Love (Sarah Carter)
  • Box Plot & Histogram Card Sort
  • SOCS Practice Foldable
  • SOCS Foldable

External Whole Topic Past Paper Style Questions

• Jethwa Maths Starter Activities
• NaikerMaths Representations of Data Exam Questions✦ & Solutions✦
• Dr Frost Topic Test✦ (Teacher Log in Required)
• PMT
  • Representation and Summary Data
  • Cheat Sheet

Other Resources

•  Lucyjc1612 Summary Poster (Representation of Data)

Worksheets

• Maths Genie
  • Representations of Data: Questions · Solutions · Lesson · Topic page
• Mathsaurus (Kevin Olding)
  • Averages, spread, box plots and outliers (exam questions)
• 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
• MME
  • Single Variable Data & Histograms (AQA): Questions | Answers

Activities

• OCR
  • Data presentation and interpretation check-in test✦
• Andy Lutwyche
  • Erica’s Errors On Representations