Lesson PowerPoint Presentation for GCSE Statistics on Index Numbers (22 slides), written by a highly experienced teacher (of 25+ years), senior examiner and reviser for Maths and Stats examinations. It explains how to calculate use and interpret index numbers, chain base index numbers and weighted index numbers. It gives real-life examples where weighted indices are used. It explains RPI, inflation, CPI and GDP, as well as how to interpret an output gap chart. It includes: Lesson objectives Step-by-step explanations of the subject matter Examples to aid understanding Questions to check understanding Answers to questions, with explanations Suggestions regarding which topic(s) should be moved on to next. It is 1 of a set of 14 Lesson PowerPoint Presentations on ‘Analysing Data’ that APT Initiatives has published for GCSE Statistics. The full set of set of 14 PowerPoints (238 slides excluding Title Pages) covers the following topics relating to ‘Analysing Data’: 01 Averages – Mode (19 slides). 02 Averages – Median (19 slides). 03 Averages – Mean (19 slides). 04 Other Means – Weighted & Geometric(12 slides). 05 Measures of Dispersion – Range (16 slides). 06 Measures of Dispersion – Interquartile Range (20 slides). 07 Cumulative Frequency (25 slides). 08 Box (and Whisker) Plots (11 slides). 09 Distributions, Variance & Standard Deviation (18 slides). 10 Skewness Coefficients (11 slides). 11 Time Series and Moving Averages (25 slides). 12 Crude and Standardised Rates (11 slides). 13 Index Numbers (22 slides). 14 Quality Assurance (10 slides). These PowerPoints are one of 4 sets of PowerPoint Presentations that APT Initiatives Ltd has published to support teachers and students of GCSE Statistics. Other sets concern: Collecting Data Representing Data Probability The purchase of this resource comes with a licence to make the resource available in digital and / or in print form (including photocopying) to the staff and students attending the purchasing institution, ie the individual school / college on a single site. The resource may be distributed via a secure virtual learning environment. It must not be made available on any public or insecure website or other platform. The resource must not be distributed to other institutions that are members of the same academy chain or similar organisation; each individual institution must purchase their own copy of the resource.

Lesson PowerPoint Presentation on Quality Assurance (10 slides) written by a highly experienced teacher (of 25+ years), senior examiner and reviser for Maths and Stats examinations. It explains quality assurance, the graphs used to monitor quality assurance and how to interpret these with respect to warning and action limits. It includes: Lesson objectives Step-by-step explanations of the subject matter Examples to aid understanding Questions to check understanding Answers to questions, with explanations Suggestions regarding which topic(s) should be moved on to next. It is 1 of a set of 14 Lesson PowerPoint Presentations on ‘Analysing Data’ that APT Initiatives has published for GCSE Statistics. The full set of set of 14 PowerPoints (238 slides excluding Title Pages) covers the following topics relating to ‘Analysing Data’: 01 Averages – Mode (19 slides). 02 Averages – Median (19 slides). 03 Averages – Mean (19 slides). 04 Other Means – Weighted & Geometric(12 slides). 05 Measures of Dispersion – Range (16 slides). 06 Measures of Dispersion – Interquartile Range (20 slides). 07 Cumulative Frequency (25 slides). 08 Box (and Whisker) Plots (11 slides). 09 Distributions, Variance & Standard Deviation (18 slides). 10 Skewness Coefficients (11 slides). 11 Time Series and Moving Averages (25 slides). 12 Crude and Standardised Rates (11 slides). 13 Index Numbers (22 slides). 14 Quality Assurance (10 slides). These PowerPoints are one of 4 sets of PowerPoint Presentations that APT Initiatives Ltd has published to support teachers and students of GCSE Statistics. Other sets concern: Collecting Data Representing Data Probability The purchase of this resource comes with a licence to make the resource available in digital and / or in print form (including photocopying) to the staff and students attending the purchasing institution, ie the individual school / college on a single site. The resource may be distributed via a secure virtual learning environment. It must not be made available on any public or insecure website or other platform. The resource must not be distributed to other institutions that are members of the same academy chain or similar organisation; each individual institution must purchase their own copy of the resource.

Unit 1 Topic 1 - Planning and Financing a Business. This is the first section of the Elementary Explanations, one of a set of six resources, written specifically for the new Business Specification by experienced examiners and teachers.

PowerPoint Presentation on Crude and Standardised Rates (11 slides): Explains how to calculate crude and standardised rates for births, deaths, marriages, and unemployment data. It has been written by a highly experienced teacher (of 25+ years), senior examiner and reviser for Maths and Stats examinations. It includes: Lesson objectives Step-by-step explanations of the subject matter Examples to aid understanding Questions to check understanding Answers to questions, with explanations Suggestions regarding which topic(s) should be moved on to next. It is 1 of a set of 14 PowerPoint Presentations on ‘Analysing Data’ that APT Initiatives has published for GCSE Statistics. The full set of set of 14 PowerPoints (238 slides excluding Title Pages) covers the following topics relating to ‘Analysing Data’: 01 Averages – Mode (19 slides). 02 Averages – Median (19 slides). 03 Averages – Mean (19 slides). 04 Other Means – Weighted & Geometric(12 slides). 05 Measures of Dispersion – Range (16 slides). 06 Measures of Dispersion – Interquartile Range (20 slides). 07 Cumulative Frequency (25 slides). 08 Box (and Whisker) Plots (11 slides). 09 Distributions, Variance & Standard Deviation (18 slides). 10 Skewness Coefficients (11 slides). 11 Time Series and Moving Averages (25 slides). 12 Crude and Standardised Rates (11 slides). 13 Index Numbers (22 slides). 14 Quality Assurance (10 slides). These PowerPoints are one of 4 sets of PowerPoint Presentations that APT Initiatives Ltd has published to support teachers and students of GCSE Statistics. Other sets concern: Collecting Data Representing Data Probability The purchase of this resource comes with a licence to make the resource available in digital and / or in print form (including photocopying) to the staff and students attending the purchasing institution, ie the individual school / college on a single site. The resource may be distributed via a secure virtual learning environment. It must not be made available on any public or insecure website or other platform. The resource must not be distributed to other institutions that are members of the same academy chain or similar organisation; each individual institution must purchase their own copy of the resource.

PowerPoint Presentation on Distributions, Variance & Standard Deviation (18 slides): Reviews and interprets different types of frequency distributions and explains how to calculate and use variance and standard deviation. It has been written by a highly experienced teacher (of 25+ years), senior examiner and reviser for Maths and Stats examinations. It includes: Lesson objectives Step-by-step explanations of the subject matter Examples to aid understanding Questions to check understanding Answers to questions, with explanations Suggestions regarding which topic(s) should be moved on to next. It is 1 of a set of 14 PowerPoint Presentations on ‘Analysing Data’ that APT Initiatives has published for GCSE Statistics. The full set of set of 14 PowerPoints (238 slides excluding Title Pages) covers the following topics relating to ‘Analysing Data’: 01 Averages – Mode (19 slides). 02 Averages – Median (19 slides). 03 Averages – Mean (19 slides). 04 Other Means – Weighted & Geometric(12 slides). 05 Measures of Dispersion – Range (16 slides). 06 Measures of Dispersion – Interquartile Range (20 slides). 07 Cumulative Frequency (25 slides). 08 Box (and Whisker) Plots (11 slides). 09 Distributions, Variance & Standard Deviation (18 slides). 10 Skewness Coefficients (11 slides). 11 Time Series and Moving Averages (25 slides). 12 Crude and Standardised Rates (11 slides). 13 Index Numbers (22 slides). 14 Quality Assurance (10 slides). These PowerPoints are one of 4 sets of PowerPoint Presentations that APT Initiatives Ltd has published to support teachers and students of GCSE Statistics. Other sets concern: Collecting Data Representing Data Probability The purchase of this resource comes with a licence to make the resource available in digital and / or in print form (including photocopying) to the staff and students attending the purchasing institution, ie the individual school / college on a single site. The resource may be distributed via a secure virtual learning environment. It must not be made available on any public or insecure website or other platform. The resource must not be distributed to other institutions that are members of the same academy chain or similar organisation; each individual institution must purchase their own copy of the resource.

PowerPoint Presentation on Other Means – Weighted & Geometric (12 slides): Explains how to find the weighted and geometric means of data. It has been written by a highly experienced teacher (of 25+ years), senior examiner and reviser for Maths and Stats examinations. It includes: Lesson objectives Step-by-step explanations of the subject matter Examples to aid understanding Questions to check understanding Answers to questions, with explanations Suggestions regarding which topic(s) should be moved on to next. It is 1 of a set of 14 PowerPoint Presentations on ‘Analysing Data’ that APT Initiatives has published for GCSE Statistics. The content of this PowerPoint is also relevant to the ‘Statistics’ section of the GCSE Maths specifications and included in APT’s PowerPoints for GCSE Maths. The full set of set of 14 PowerPoints (238 slides excluding Title Pages) covers the following topics relating to ‘Analysing Data’: 01 Averages – Mode (19 slides). 02 Averages – Median (19 slides). 03 Averages – Mean (19 slides). 04 Other Means – Weighted & Geometric(12 slides). 05 Measures of Dispersion – Range (16 slides). 06 Measures of Dispersion – Interquartile Range (20 slides). 07 Cumulative Frequency (25 slides). 08 Box (and Whisker) Plots (11 slides). 09 Distributions, Variance & Standard Deviation (18 slides). 10 Skewness Coefficients (11 slides). 11 Time Series and Moving Averages (25 slides). 12 Crude and Standardised Rates (11 slides). 13 Index Numbers (22 slides). 14 Quality Assurance (10 slides). These PowerPoints are one of 4 sets of PowerPoint Presentations that APT Initiatives Ltd has published to support teachers and students of GCSE Statistics. Other sets concern: Collecting Data Representing Data Probability The purchase of this resource comes with a licence to make the resource available in digital and / or in print form (including photocopying) to the staff and students attending the purchasing institution, ie the individual school / college on a single site. The resource may be distributed via a secure virtual learning environment. It must not be made available on any public or insecure website or other platform. The resource must not be distributed to other institutions that are members of the same academy chain or similar organisation; each individual institution must purchase their own copy of the resource

PowerPoint Presentation on Measures of Dispersion – Interquartile Range (20 slides): Explains how to calculate the interquartile range for discrete data, and how to find the interquartile range from a cumulative frequency curve or polygon. It also explains how to estimate the interquartile range for continuous data. It has been written by a highly experienced teacher (of 25+ years), senior examiner and reviser for Maths and Stats examinations. It includes: Lesson objectives Step-by-step explanations of the subject matter Examples to aid understanding Questions to check understanding Answers to questions, with explanations Suggestions regarding which topic(s) should be moved on to next. It is 1 of a set of 14 PowerPoint Presentations on ‘Analysing Data’ that APT Initiatives has published for GCSE Statistics. The content of this PowerPoint is also relevant to the ‘Statistics’ section of the GCSE Maths specifications and included in APT’s PowerPoints for GCSE Maths. The full set of set of 14 PowerPoints (238 slides excluding Title Pages) covers the following topics relating to ‘Analysing Data’: 01 Averages – Mode (19 slides). 02 Averages – Median (19 slides). 03 Averages – Mean (19 slides). 04 Other Means – Weighted & Geometric(12 slides). 05 Measures of Dispersion – Range (16 slides). 06 Measures of Dispersion – Interquartile Range (20 slides). 07 Cumulative Frequency (25 slides). 08 Box (and Whisker) Plots (11 slides). 09 Distributions, Variance & Standard Deviation (18 slides). 10 Skewness Coefficients (11 slides). 11 Time Series and Moving Averages (25 slides). 12 Crude and Standardised Rates (11 slides). 13 Index Numbers (22 slides). 14 Quality Assurance (10 slides). These PowerPoints are one of 4 sets of PowerPoint Presentations that APT Initiatives Ltd has published to support teachers and students of GCSE Statistics. Other sets concern: Collecting Data Representing Data Probability The purchase of this resource comes with a licence to make the resource available in digital and / or in print form (including photocopying) to the staff and students attending the purchasing institution, ie the individual school / college on a single site. The resource may be distributed via a secure virtual learning environment. It must not be made available on any public or insecure website or other platform. The resource must not be distributed to other institutions that are members of the same academy chain or similar organisation; each individual institution must purchase their own copy of the resource.

PowerPoint Presentation on Cumulative Frequency Diagrams (25 slides): Explains how to produce and interpret a cumulative frequency table, how to draw and interpret cumulative frequency curves or polygons, and how to find quartiles, deciles and percentiles as well as the interpercentile range. It has been written by a highly experienced teacher (of 25+ years), senior examiner and reviser for Maths and Stats examinations. It includes: Lesson objectives Step-by-step explanations of the subject matter Examples to aid understanding Questions to check understanding Answers to questions, with explanations Suggestions regarding which topic(s) should be moved on to next. It is 1 of a set of 14 PowerPoint Presentations on ‘Analysing Data’ that APT Initiatives has published for GCSE Statistics. The content of this PowerPoint is also relevant to the ‘Statistics’ section of the GCSE Maths specifications and included in APT’s PowerPoints for GCSE Maths. The full set of set of 14 PowerPoints (238 slides excluding Title Pages) covers the following topics relating to ‘Analysing Data’: 01 Averages – Mode (19 slides). 02 Averages – Median (19 slides). 03 Averages – Mean (19 slides). 04 Other Means – Weighted & Geometric(12 slides). 05 Measures of Dispersion – Range (16 slides). 06 Measures of Dispersion – Interquartile Range (20 slides). 07 Cumulative Frequency Diagrams (25 slides). 08 Box (and Whisker) Plots (11 slides). 09 Distributions, Variance & Standard Deviation (18 slides). 10 Skewness Coefficients (11 slides). 11 Time Series and Moving Averages (25 slides). 12 Crude and Standardised Rates (11 slides). 13 Index Numbers (22 slides). 14 Quality Assurance (10 slides). These PowerPoints are one of 4 sets of PowerPoint Presentations that APT Initiatives Ltd has published to support teachers and students of GCSE Statistics. Other sets concern: Collecting Data Representing Data Probability The purchase of this resource comes with a licence to make the resource available in digital and / or in print form (including photocopying) to the staff and students attending the purchasing institution, ie the individual school / college on a single site. The resource may be distributed via a secure virtual learning environment. It must not be made available on any public or insecure website or other platform. The resource must not be distributed to other institutions that are members of the same academy chain or similar organisation; each individual institution must purchase their own copy of the resource.

PowerPoint Presentation on Skewness Coefficients (11 slides): Reviews shapes and properties of distributions and explains how to calculate and interpret the Quartile Coefficient of Skewness and Pearson’s Skewness Coefficient. It has been written by a highly experienced teacher (of 25+ years), senior examiner and reviser for Maths and Stats examinations. It includes: Lesson objectives Step-by-step explanations of the subject matter Examples to aid understanding Questions to check understanding Answers to questions, with explanations Suggestions regarding which topic(s) should be moved on to next. It is 1 of a set of 14 PowerPoint Presentations on ‘Analysing Data’ that APT Initiatives has published for GCSE Statistics. The full set of set of 14 PowerPoints (238 slides excluding Title Pages) covers the following topics relating to ‘Analysing Data’: 01 Averages – Mode (19 slides). 02 Averages – Median (19 slides). 03 Averages – Mean (19 slides). 04 Other Means – Weighted & Geometric(12 slides). 05 Measures of Dispersion – Range (16 slides). 06 Measures of Dispersion – Interquartile Range (20 slides). 07 Cumulative Frequency (25 slides). 08 Box (and Whisker) Plots (11 slides). 09 Distributions, Variance & Standard Deviation (18 slides). 10 Skewness Coefficients (11 slides). 11 Time Series and Moving Averages (25 slides). 12 Crude and Standardised Rates (11 slides). 13 Index Numbers (22 slides). 14 Quality Assurance (10 slides). These PowerPoints are one of 4 sets of PowerPoint Presentations that APT Initiatives Ltd has published to support teachers and students of GCSE Statistics. Other sets concern: Collecting Data Representing Data Probability The purchase of this resource comes with a licence to make the resource available in digital and / or in print form (including photocopying) to the staff and students attending the purchasing institution, ie the individual school / college on a single site. The resource may be distributed via a secure virtual learning environment. It must not be made available on any public or insecure website or other platform. The resource must not be distributed to other institutions that are members of the same academy chain or similar organisation; each individual institution must purchase their own copy of the resource.

PowerPoint Presentation on Time Series and Moving Averages (25 slides): Explains trends, seasonality and moving averages, how to calculate moving averages, and how to plot, use and interpret time series graphs. Explains how to calculate and use seasonal effect, and how to plot and interpret Z charts. It has been written by a highly experienced teacher (of 25+ years), senior examiner and reviser for Maths and Stats examinations. It includes: Lesson objectives Step-by-step explanations of the subject matter Examples to aid understanding Questions to check understanding Answers to questions, with explanations Suggestions regarding which topic(s) should be moved on to next. It is 1 of a set of 14 PowerPoint Presentations on ‘Analysing Data’ that APT Initiatives has published for GCSE Statistics. The full set of set of 14 PowerPoints (238 slides excluding Title Pages) covers the following topics relating to ‘Analysing Data’: 01 Averages – Mode (19 slides). 02 Averages – Median (19 slides). 03 Averages – Mean (19 slides). 04 Other Means – Weighted & Geometric(12 slides). 05 Measures of Dispersion – Range (16 slides). 06 Measures of Dispersion – Interquartile Range (20 slides). 07 Cumulative Frequency (25 slides). 08 Box (and Whisker) Plots (11 slides). 09 Distributions, Variance & Standard Deviation (18 slides). 10 Skewness Coefficients (11 slides). 11 Time Series and Moving Averages (25 slides). 12 Crude and Standardised Rates (11 slides). 13 Index Numbers (22 slides). 14 Quality Assurance (10 slides). These PowerPoints are one of 4 sets of PowerPoint Presentations that APT Initiatives Ltd has published to support teachers and students of GCSE Statistics. Other sets concern: Collecting Data Representing Data Probability The purchase of this resource comes with a licence to make the resource available in digital and / or in print form (including photocopying) to the staff and students attending the purchasing institution, ie the individual school / college on a single site. The resource may be distributed via a secure virtual learning environment. It must not be made available on any public or insecure website or other platform. The resource must not be distributed to other institutions that are members of the same academy chain or similar organisation; each individual institution must purchase their own copy of the resource.

PowerPoint Presentation on Misleading Graphs and other Data Representations (19 slides): Explains how diagrams, charts and graphs might be misleading. It has been written by a highly experienced teacher (of 25+ years), senior examiner and reviser for Maths and Stats examinations. It includes: Lesson objectives Step-by-step explanations of the subject matter Examples to aid understanding Questions to check understanding Answers to questions, with explanations Suggestions regarding which topic(s) should be moved on to next. It is 1 of a set of 13 PowerPoint Presentations on ‘Representing Data’ that APT Initiatives has published for GCSE Statistics. The content of this PowerPoint is also relevant to the ‘Statistics’ section of the GCSE Maths specifications and included in APT’s PowerPoints for GCSE Maths. The full set of set of 13 PowerPoints for GCSE Statistics on ‘Representing Data’ (225 slides excluding Title Pages) covers the following topics: 01 Block Diagrams and Dot Plots (12 slides). 02 Pictograms (16 slides). 03 Bar Charts, Bar Line Graphs and Frequency Diagrams – Polygons (26 slides). 04 Population Pyramids and Choropleth Maps (15 slides). 05 Line Graphs (9 slides). 06 Stepped Tables and Two-way Tables (18 slides). 07 Pie Charts (18 slides): Explains how to draw and interpret pie charts. 08 Comparative Pie Charts (10 slides). 09 Scatter Diagrams (40 slides). 10 Correlation Coefficients (11 slides). 11 Stem and Leaf Diagrams (17 slides). 12 Histograms (14 slides). 13 Misleading Graphs and other Data Representations (19 slides). This set of PowerPoints are one of 4 sets of PowerPoint Presentations that APT Initiatives Ltd has published to support teachers and students of GCSE Statistics. Other sets concern: Collecting Data Analysing Data Probability The purchase of this resource comes with a licence to make the resource available in digital and / or in print form (including photocopying) to the staff and students attending the purchasing institution, ie the individual school / college on a single site. The resource may be distributed via a secure virtual learning environment. It must not be made available on any public or insecure website or other platform. The resource must not be distributed to other institutions that are members of the same academy chain or similar organisation; each individual institution must purchase their own copy of the resource.

PowerPoint Presentation on Averages – Mean (19 slides): Reviews and interprets different types of data representations before explaining what a mean average is, how to find the mean for discrete data, and how to calculate an estimate of the mean for grouped or continuous data. It has been written by a highly experienced teacher (of 25+ years), senior examiner and reviser for Maths and Stats examinations. It includes: Lesson objectives Step-by-step explanations of the subject matter Examples to aid understanding Questions to check understanding Answers to questions, with explanations Suggestions regarding which topic(s) should be moved on to next. It is 1 of a set of 14 PowerPoint Presentations on ‘Analysing Data’ that APT Initiatives has published for GCSE Statistics. The content of this PowerPoint is also relevant to the ‘Statistics’ section of the GCSE Maths specifications and included in APT’s PowerPoints for GCSE Maths. The full set of set of 14 PowerPoints (238 slides excluding Title Pages) covers the following topics relating to ‘Analysing Data’: 01 Averages – Mode (19 slides). 02 Averages – Median (19 slides). 03 Averages – Mean (19 slides). 04 Other Means – Weighted & Geometric(12 slides). 05 Measures of Dispersion – Range (16 slides). 06 Measures of Dispersion – Interquartile Range (20 slides). 07 Cumulative Frequency (25 slides). 08 Box (and Whisker) Plots (11 slides). 09 Distributions, Variance & Standard Deviation (18 slides). 10 Skewness Coefficients (11 slides). 11 Time Series and Moving Averages (25 slides). 12 Crude and Standardised Rates (11 slides). 13 Index Numbers (22 slides). 14 Quality Assurance (10 slides). These PowerPoints are one of 4 sets of PowerPoint Presentations that APT Initiatives Ltd has published to support teachers and students of GCSE Statistics. Other sets concern: Collecting Data Representing Data Probability The purchase of this resource comes with a licence to make the resource available in digital and / or in print form (including photocopying) to the staff and students attending the purchasing institution, ie the individual school / college on a single site. The resource may be distributed via a secure virtual learning environment. It must not be made available on any public or insecure website or other platform. The resource must not be distributed to other institutions that are members of the same academy chain or similar organisation; each individual institution must purchase their own copy of the resource.

PowerPoint Presentation on Measures of Dispersion – Range (16 slides): Reviews and interprets different types of data representations before explaining how to calculate the range for discrete data and how to calculate the maximum range for grouped or continuous data. It has been written by a highly experienced teacher (of 25+ years), senior examiner and reviser for Maths and Stats examinations. It includes: Lesson objectives Step-by-step explanations of the subject matter Examples to aid understanding Questions to check understanding Answers to questions, with explanations Suggestions regarding which topic(s) should be moved on to next. It is 1 of a set of 14 PowerPoint Presentations on ‘Analysing Data’ that APT Initiatives has published for GCSE Statistics. The content of this PowerPoint is also relevant to the ‘Statistics’ section of the GCSE Maths specifications and included in APT’s PowerPoints for GCSE Maths. The full set of set of 14 PowerPoints (238 slides excluding Title Pages) covers the following topics relating to ‘Analysing Data’: 01 Averages – Mode (19 slides). 02 Averages – Median (19 slides). 03 Averages – Mean (19 slides). 04 Other Means – Weighted & Geometric(12 slides). 05 Measures of Dispersion – Range (16 slides). 06 Measures of Dispersion – Interquartile Range (20 slides). 07 Cumulative Frequency (25 slides). 08 Box (and Whisker) Plots (11 slides). 09 Distributions, Variance & Standard Deviation (18 slides). 10 Skewness Coefficients (11 slides). 11 Time Series and Moving Averages (25 slides). 12 Crude and Standardised Rates (11 slides). 13 Index Numbers (22 slides). 14 Quality Assurance (10 slides). These PowerPoints are one of 4 sets of PowerPoint Presentations that APT Initiatives Ltd has published to support teachers and students of GCSE Statistics. Other sets concern: Collecting Data Representing Data Probability The purchase of this resource comes with a licence to make the resource available in digital and / or in print form (including photocopying) to the staff and students attending the purchasing institution, ie the individual school / college on a single site. The resource may be distributed via a secure virtual learning environment. It must not be made available on any public or insecure website or other platform. The resource must not be distributed to other institutions that are members of the same academy chain or similar organisation; each individual institution must purchase their own copy of the resource.

PowerPoint Presentation on Averages – Mode (19 slides): Reviews and interprets different types of data representations (charts, tables and graphs) before explaining what a modal average is and how to find the mode for qualitative or discrete data. It also explains how to find the modal class for grouped or continuous data. It has been written by a highly experienced teacher (of 25+ years), senior examiner and reviser for Maths and Stats examinations. It includes: Lesson objectives Step-by-step explanations of the subject matter Examples to aid understanding Questions to check understanding Answers to questions, with explanations Suggestions regarding which topic(s) should be moved on to next. It is 1 of a set of 14 PowerPoint Presentations on ‘Analysing Data’ that APT Initiatives has published for GCSE Statistics. The content of this PowerPoint is also relevant to the ‘Statistics’ section of the GCSE Maths specifications and included in APT’s PowerPoints for GCSE Maths. The full set of set of 14 PowerPoints (238 slides excluding Title Pages) covers the following topics relating to ‘Analysing Data’: 01 Averages – Mode (19 slides). 02 Averages – Median (19 slides). 03 Averages – Mean (19 slides). 04 Other Means – Weighted & Geometric(12 slides). 05 Measures of Dispersion – Range (16 slides). 06 Measures of Dispersion – Interquartile Range (20 slides). 07 Cumulative Frequency (25 slides). 08 Box (and Whisker) Plots (11 slides). 09 Distributions, Variance & Standard Deviation (18 slides). 10 Skewness Coefficients (11 slides). 11 Time Series and Moving Averages (25 slides). 12 Crude and Standardised Rates (11 slides). 13 Index Numbers (22 slides). 14 Quality Assurance (10 slides). These PowerPoints are one of 4 sets of PowerPoint Presentations that APT Initiatives Ltd has published to support teachers and students of GCSE Statistics. Other sets concern: Collecting Data Representing Data Probability The purchase of this resource comes with a licence to make the resource available in digital and / or in print form (including photocopying) to the staff and students attending the purchasing institution, ie the individual school / college on a single site. The resource may be distributed via a secure virtual learning environment. It must not be made available on any public or insecure website or other platform. The resource must not be distributed to other institutions that are members of the same academy chain or similar organisation; each individual institution must purchase their own copy of the resource.

PowerPoint Presentation on Averages – Median (19 slides): Reviews and interprets different types of data representations before explaining what a median average is, how to find the median for discrete data, and how to find the median class for grouped or continuous data. It also explains how to calculate an estimate of the median for continuous data. It has been written by a highly experienced teacher (of 25+ years), senior examiner and reviser for Maths and Stats examinations. It includes: Lesson objectives Step-by-step explanations of the subject matter Examples to aid understanding Questions to check understanding Answers to questions, with explanations Suggestions regarding which topic(s) should be moved on to next. It is 1 of a set of 14 PowerPoint Presentations on ‘Analysing Data’ that APT Initiatives has published for GCSE Statistics. The content of this PowerPoint is also relevant to the ‘Statistics’ section of the GCSE Maths specifications and included in APT’s PowerPoints for GCSE Maths. The full set of set of 14 PowerPoints (238 slides excluding Title Pages) covers the following topics relating to ‘Analysing Data’: 01 Averages – Mode (19 slides). 02 Averages – Median (19 slides). 03 Averages – Mean (19 slides). 04 Other Means – Weighted & Geometric(12 slides). 05 Measures of Dispersion – Range (16 slides). 06 Measures of Dispersion – Interquartile Range (20 slides). 07 Cumulative Frequency (25 slides). 08 Box (and Whisker) Plots (11 slides). 09 Distributions, Variance & Standard Deviation (18 slides). 10 Skewness Coefficients (11 slides). 11 Time Series and Moving Averages (25 slides). 12 Crude and Standardised Rates (11 slides). 13 Index Numbers (22 slides). 14 Quality Assurance (10 slides). These PowerPoints are one of 4 sets of PowerPoint Presentations that APT Initiatives Ltd has published to support teachers and students of GCSE Statistics. Other sets concern: Collecting Data Representing Data Probability The purchase of this resource comes with a licence to make the resource available in digital and / or in print form (including photocopying) to the staff and students attending the purchasing institution, ie the individual school / college on a single site. The resource may be distributed via a secure virtual learning environment. It must not be made available on any public or insecure website or other platform. The resource must not be distributed to other institutions that are members of the same academy chain or similar organisation; each individual institution must purchase their own copy of the resource.

PowerPoint Presentation on Comparative Pie Charts (10 slides): Revises the equation for the area of a circle and finding fractions of amounts, before explaining how to draw and interpret comparative pie charts. It has been written by a highly experienced teacher (of 25+ years), senior examiner and reviser for Maths and Stats examinations. It includes: Lesson objectives Step-by-step explanations of the subject matter Examples to aid understanding Questions to check understanding Answers to questions, with explanations Suggestions regarding which topic(s) should be moved on to next. It is 1 of a set of 13 PowerPoint Presentations on ‘Representing Data’ that APT Initiatives has published for GCSE Statistics. The full set of set of PowerPoints (225 slides excluding Title Pages) covers the following topics on ‘Representing Data’: 01 Block Diagrams and Dot Plots (12 slides). 02 Pictograms (16 slides). 03 Bar Charts, Bar Line Graphs and Frequency Diagrams – Polygons (26 slides). 04 Population Pyramids and Choropleth Maps (15 slides). 05 Line Graphs (9 slides). 06 Stepped Tables and Two-way Tables (18 slides). 07 Pie Charts (18 slides): Explains how to draw and interpret pie charts. 08 Comparative Pie Charts (10 slides). 09 Scatter Diagrams (40 slides). 10 Correlation Coefficients (11 slides). 11 Stem and Leaf Diagrams (17 slides). 12 Histograms (14 slides). 13 Misleading Graphs and other Data Representations (19 slides). This set of PowerPoints are one of 4 sets of PowerPoint Presentations that APT Initiatives Ltd has published to support teachers and students of GCSE Statistics. Other sets concern: Collecting Data Analysing Data Probability The purchase of this resource comes with a licence to make the resource available in digital and / or in print form (including photocopying) to the staff and students attending the purchasing institution, ie the individual school / college on a single site. The resource may be distributed via a secure virtual learning environment. It must not be made available on any public or insecure website or other platform. The resource must not be distributed to other institutions that are members of the same academy chain or similar organisation; each individual institution must purchase their own copy of the resource.

PowerPoint Presentation on Population Pyramids and Choropleth Maps (15 slides): Explains how to use and interpret population pyramids and how to produce and interpret choropleth maps. It has been written by a highly experienced teacher (of 25+ years), senior examiner and reviser for Maths and Stats examinations. It includes: Lesson objectives Step-by-step explanations of the subject matter Examples to aid understanding Questions to check understanding Answers to questions, with explanations Suggestions regarding which topic(s) should be moved on to next. It is 1 of a set of 13 PowerPoint Presentations on ‘Representing Data’ that APT Initiatives has published for GCSE Statistics. The full set of set of 13 PowerPoints (225 slides excluding Title Pages) covers the following topics for GCSE Statistics on ‘Representing Data’: 01 Block Diagrams and Dot Plots (12 slides). 02 Pictograms (16 slides). 03 Bar Charts, Bar Line Graphs and Frequency Diagrams – Polygons (26 slides). 04 Population Pyramids and Choropleth Maps (15 slides). 05 Line Graphs (9 slides). 06 Stepped Tables and Two-way Tables (18 slides). 07 Pie Charts (18 slides): Explains how to draw and interpret pie charts. 08 Comparative Pie Charts (10 slides). 09 Scatter Diagrams (40 slides). 10 Correlation Coefficients (11 slides). 11 Stem and Leaf Diagrams (17 slides). 12 Histograms (14 slides). 13 Misleading Graphs and other Data Representations (19 slides). This set of PowerPoints are one of 4 sets of PowerPoint Presentations that APT Initiatives Ltd has published to support teachers and students of GCSE Statistics. Other sets concern: Collecting Data Analysing Data Probability The purchase of this resource comes with a licence to make the resource available in digital and / or in print form (including photocopying) to the staff and students attending the purchasing institution, ie the individual school / college on a single site. The resource may be distributed via a secure virtual learning environment. It must not be made available on any public or insecure website or other platform. The resource must not be distributed to other institutions that are members of the same academy chain or similar organisation; each individual institution must purchase their own copy of the resource.

PowerPoint Presentation on Sampling and Bias - Application (20 slides): Reviews and applies different sampling techniques and explains the Petersen capture-recapture method. It has been written by a highly experienced teacher (of 25+ years), senior examiner and reviser for Maths and Stats examinations. It includes: Lesson objectives Step-by-step explanations of the subject matter Examples to aid understanding Questions to check understanding Answers to questions, with explanations Suggestions regarding which topic(s) should be moved on to next. It is 1 of a set of 5 PowerPoint Presentations on ‘Collecting Data’ that APT Initiatives has published for GCSE Statistics. The full set of set of 5 PowerPoints (110 slides excluding Title Pages) covers the following topics relating to ‘Collecting Data’: 01 Types of Data (24 slides): Explains the different types of data and how data can be classified according to who collected it. 02 Methods of Collecting Data (31 slides): Reviews the data handling cycle and explains the main methods of collecting data and how to avoid bias, as well as how to record and clean data. 03 Questionnaires and Surveys (30 slides): Explains the dos and don’ts when designing questionnaires or surveys, reviews grouping data, explains random response techniques and what to do with unexpected responses. 04 Sampling and Bias 1 (25 slides): Defines key statistical terms, outlines how to avoid bias, and explains the main methods of sampling. 05 Sampling and Bias 2 (Application) (20 slides): Reviews and applies different sampling techniques and explains the Petersen capture-recapture method. This set of 5 PowerPoints are one of 4 sets of PowerPoints that APT Initiatives Ltd has published to support teachers and students of GCSE Statistics. Other sets concern: Representing Data Analysing Data Probability The purchase of this resource comes with a licence to make the resource available in digital and / or in print form (including photocopying) to the staff and students attending the purchasing institution, ie the individual school / college on a single site. The resource may be distributed via a secure virtual learning environment. It must not be made available on any public or insecure website or other platform. The resource must not be distributed to other institutions that are members of the same academy chain or similar organisation; each individual institution must purchase their own copy of the resource.

The first of 2 PowerPoint Presentations on Sampling and Bias (25 slides): Defines key statistical terms, outlines how to avoid bias, and explains the main methods of sampling. It has been written by a highly experienced teacher (of 25+ years), senior examiner and reviser for Maths and Stats examinations. It includes: Lesson objectives Step-by-step explanations of the subject matter Examples to aid understanding Questions to check understanding Answers to questions, with explanations Suggestions regarding which topic(s) should be moved on to next. It is 1 of a set of 5 PowerPoint Presentations on ‘Collecting Data’ that APT Initiatives has published for GCSE Statistics. The content of this PowerPoint is also relevant to the ‘Statistics’ section of the GCSE Maths specifications and included in APT’s PowerPoints for GCSE Maths. The full set of set of 5 PowerPoints for GCSE Statistics on ‘Collecting Data’ (110 slides excluding Title Pages) covers the following topics: 01 Types of Data (24 slides): Explains the different types of data and how data can be classified according to who collected it. 02 Methods of Collecting Data (31 slides): Reviews the data handling cycle and explains the main methods of collecting data and how to avoid bias, as well as how to record and clean data. 03 Questionnaires and Surveys (30 slides): Explains the dos and don’ts when designing questionnaires or surveys, reviews grouping data, explains random response techniques and what to do with unexpected responses. 04 Sampling and Bias 1 (25 slides): Defines key statistical terms, outlines how to avoid bias, and explains the main methods of sampling. 05 Sampling and Bias 2 (Application) (20 slides): Reviews and applies different sampling techniques and explains the Petersen capture-recapture method. This set of 5 PowerPoints are one of 4 sets of PowerPoints that APT Initiatives Ltd has published to support teachers and students of GCSE Statistics. Other sets concern: Representing Data Analysing Data Probability The purchase of this resource comes with a licence to make the resource available in digital and / or in print form (including photocopying) to the staff and students attending the purchasing institution, ie the individual school / college on a single site. The resource may be distributed via a secure virtual learning environment. It must not be made available on any public or insecure website or other platform. The resource must not be distributed to other institutions that are members of the same academy chain or similar organisation; each individual institution must purchase their own copy of the resource.

PowerPoint Presentation on Simple Probability (14 slides): Explains how to calculate simple probability, what is meant by ‘mutually exclusive’ and how to calculate the probability of something NOT happening. It has been written by a highly experienced teacher (of 25+ years), senior examiner and reviser for Maths and Stats examinations. It includes: Lesson objectives Step-by-step explanations of the subject matter Examples to aid understanding Questions to check understanding Answers to questions, with explanations Suggestions regarding which topic(s) should be moved on to next. It is 1 of a set of 7 PowerPoint Presentations on ‘Probability’ that APT Initiatives has published for GCSE Statistics. The content of this PowerPoint is also relevant to the ‘Statistics’ section of the GCSE Maths specifications and included in APT’s PowerPoints for GCSE Maths. The full set of set of 7 PowerPoints for GCSE Statistics on ‘Probability’ (101 slides excluding Title Pages) covers the following topics: 01 Introduction – Terminology and Values (9 slides). 02 Simple Probability (14 slides). 03 Expected Outcomes and Relative Frequency (14 slides). 04 Outcomes (19 slides). 05 Tree Diagrams, OR and AND (16 slides). 06 Venn Diagrams, Set Notation and Conditional Probability (20 slides). 07 Probability Distributions (19 slides). These PowerPoints are one of 4 sets of PowerPoint Presentations that APT Initiatives Ltd has published to support teachers and students of GCSE Statistics. Other sets concern: Collecting Data Representing Data Analysing Data The purchase of this resource comes with a licence to make the resource available in digital and / or in print form (including photocopying) to the staff and students attending the purchasing institution, ie the individual school / college on a single site. The resource may be distributed via a secure virtual learning environment. It must not be made available on any public or insecure website or other platform. The resource must not be distributed to other institutions that are members of the same academy chain or similar organisation; each individual institution must purchase their own copy of the resource.

PowerPoint Presentation on Outcomes (19 slides): Explains how to document outcomes for single and multiple events using listing or two-way tables or possibility space diagrams, and how to summarise outcomes using frequency trees and two-way tables, as well as how to calculate the number of combinations or arrangements of objects in different situations. It has been written by a highly experienced teacher (of 25+ years), senior examiner and reviser for Maths and Stats examinations. It includes: Lesson objectives Step-by-step explanations of the subject matter Examples to aid understanding Questions to check understanding Answers to questions, with explanations Suggestions regarding which topic(s) should be moved on to next. It is 1 of a set of 7 PowerPoint Presentations on ‘Probability’ that APT Initiatives has published for GCSE Statistics. The content of this PowerPoint is also relevant to the ‘Statistics’ section of the GCSE Maths specifications and included in APT’s PowerPoints for GCSE Maths. The full set of set of 7 PowerPoints for GCSE Statistics on ‘Probability’ (101 slides excluding Title Pages) covers the following topics: 01 Introduction – Terminology and Values (9 slides). 02 Simple Probability (14 slides). 03 Expected Outcomes and Relative Frequency (14 slides). 04 Outcomes (19 slides). 05 Tree Diagrams, OR and AND (16 slides). 06 Venn Diagrams, Set Notation and Conditional Probability (20 slides). 07 Probability Distributions (19 slides). These PowerPoints are one of 4 sets of PowerPoint Presentations that APT Initiatives Ltd has published to support teachers and students of GCSE Statistics. Other sets concern: Collecting Data Representing Data Analysing Data The purchase of this resource comes with a licence to make the resource available in digital and / or in print form (including photocopying) to the staff and students attending the purchasing institution, ie the individual school / college on a single site. The resource may be distributed via a secure virtual learning environment. It must not be made available on any public or insecure website or other platform. The resource must not be distributed to other institutions that are members of the same academy chain or similar organisation; each individual institution must purchase their own copy of the resource.