Statistics (1ST0)

13 sections available · 62 chapters available

Free Statistics (1ST0) study notes for Pearson Edexcel GCSE (9-1) students. Each chapter below covers a key topic with worked examples and practice prompts you can take into the thinka app.

Foundation tier content

The collection of data

  • Planning a statistical enquiry

  • Types of data

  • Population and sampling

  • Sampling techniques and stratification

  • Collecting data: sources, questionnaires and experiments

  • Bias, reliability, validity and cleaning data

Higher tier content

    Processing, representing and analysing data

    • Tabulation, diagrams and representation

    • Measures of central tendency

    • Measures of dispersion

    • Further summary statistics

    • Scatter diagrams and correlation

    • Time series

    • Quality assurance

    • Estimation

    • Probability

    Probability

    Tabulation, diagrams and representation

    • Tables, pictograms and pie charts

    • Bar charts, line graphs and frequency diagrams

    • Cumulative frequency charts and box plots

    • Histograms and frequency density (Higher tier)

    • Comparative pie charts and 2D/3D comparisons (Higher tier)

    • Choosing representations and spotting misleading graphs

    • Skewness by inspection and by calculation

    Measures of central tendency

    • Mode, median and mean for discrete and grouped data

    • Effects of adding, removing and transforming data

    • Choosing and comparing averages in context

    • Weighted mean, geometric mean and mean seasonal variation (Higher tier)

    Measures of dispersion

    • Range, quartiles, IQR and percentiles

    • Outliers by inspection and by calculation

    • Standard deviation (Higher tier)

    • Interpercentile and interdecile ranges (Higher tier)

    • Standardised scores (Higher tier)

    • Comparing data sets using spread

    Further summary statistics and time series

    • Index numbers: RPI, CPI and GDP

    • Weighted and chain base index numbers (Higher tier)

    • Rates of change and standardised rates

    • Time series, trend lines and moving averages

    • Seasonal effect and predictions (Higher tier)

    Scatter diagrams and correlation

    • Correlation vocabulary and interpretation

    • Correlation, causation and spurious correlation

    • Line of best fit and the double mean point

    • Regression line and predictions (Higher tier)

    • Spearman's rank correlation coefficient

    • Pearson's product moment correlation coefficient (Higher tier)

    Quality assurance and estimation

    • Distribution of sample means (Higher tier)

    • Control charts: action and warning lines (Higher tier)

    • Estimating population characteristics from samples

    • Sample size, reliability and replication

    • Petersen capture-recapture (Higher tier)

    Probability

    • Estimating probability and expected frequency

    • Absolute risk and relative risk

    • Two-way tables, sample space, tree and Venn diagrams

    • Addition and multiplication laws; independence

    • Conditional probability

    • Experimental versus theoretical probability and bias

    • Binomial distribution (Higher tier)

    • Normal distribution (Higher tier)

    The statistical enquiry cycle

    • Hypotheses and constraints on an investigation

    • Processing and presenting data, including with technology

    • Interpreting results and discussing reliability

    • Communicating, evaluating and refining findings

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