AQA GCSE Statistics (Higher)

What this course covers

• Topic 1 - Planning a statistical investigation

  • 1.1 - Hypotheses and testing through data
  • 1.2 - Constraints on designing an investigation
  • 1.3 - Strategies for problems in the enquiry process

• Topic 2 - Collecting data

  • 2.1 - Types of data
  • 2.2 - Grouping and merging data
  • 2.3 - Explanatory and response variables
  • 2.4 - Primary and secondary data
  • 2.5 - Sources of data
  • 2.6 - Reliability and validity
  • 2.7 - Bias in data collection
  • 2.8 - Population, sample frame and sample
  • 2.9 - Meanings of 'population' in context
  • 2.10 - Judgement and opportunity sampling
  • 2.11 - Sampling techniques that avoid bias
  • 2.12 - Simple random sampling
  • 2.13 - Stratified sampling
  • 2.14 - Planning data collection
  • 2.15 - Problems with collected data
  • 2.16 - Cleaning data
  • 2.17 - Extraneous variables and control groups

• Topic 3 - Representing data

  • 3.1 - Pictorial representation of data
  • 3.2 - Interpreting and comparing pictorial displays
  • 3.3 - Graphical representation of data
  • 3.4 - Choosing and producing an appropriate visualisation
  • 3.5 - Graphical misrepresentation
  • 3.6 - Comparing data presented in different formats
  • 3.7 - Selecting a form of representation

• Topic 4 - Summarising and analysing data

  • 4.1 - Calculating averages
  • 4.2 - Choosing an appropriate average
  • 4.3 - Skewness
  • 4.4 - Measures of spread
  • 4.5 - Outliers
  • 4.6 - Trends and moving averages
  • 4.7 - Lines of best fit
  • 4.8 - Spearman's rank correlation coefficient
  • 4.9 - Estimating probabilities from data

• Topic 5 - Probability and interpreting results

  • 5.1 - Comparing probabilities on a scale
  • 5.2 - Expected frequency
  • 5.3 - Relative and absolute risk
  • 5.4 - Experimental data and theoretical predictions
  • 5.5 - Experimental probability and the number of trials
  • 5.6 - Representing outcomes: two-way tables, tree and Venn diagrams
  • 5.7 - Comparing data sets by central tendency
  • 5.8 - Comparing data sets by spread
  • 5.9 - Comparing samples using median, interquartile range and standard deviation
  • 5.10 - Interpreting tabular data
  • 5.11 - Notation for independent events
  • 5.12 - Notation for conditional probability
  • 5.13 - Interpreting skewness
  • 5.14 - Commenting on outliers
  • 5.15 - Seasonal and cyclic trends
  • 5.16 - Interpreting rates of change over time
  • 5.17 - Calculating rates of change from tables
  • 5.18 - Index numbers
  • 5.19 - Vocabulary of correlation
  • 5.20 - Comparing correlation by inspection
  • 5.21 - Correlation and causation
  • 5.22 - Interpreting Spearman's rank correlation coefficient
  • 5.23 - Interpreting Pearson's product moment correlation coefficient
  • 5.24 - Spearman's rank and Pearson's product moment correlation compared
  • 5.25 - Experimental and theoretical values, and bias
  • 5.26 - The binomial distribution
  • 5.27 - The Normal distribution
  • 5.28 - Standard deviations from the mean
  • 5.29 - Action and warning lines in quality assurance
  • 5.30 - Standardising data
  • 5.31 - Estimating population characteristics
  • 5.32 - Estimating a population mean from samples
  • 5.33 - Predicting population proportions
  • 5.34 - Capture/recapture and the Petersen formula
  • 5.35 - Sample size, reliability and replication
  • 5.36 - The distribution of sample means

• Topic 6 - Statistical Enquiry Cycle (SEC)

  • 6.1 - Initial planning
  • 6.2 - Data collection
  • 6.3 - Data processing and presentation
  • 6.4 - Interpretation of results
  • 6.5 - Evaluation and review

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