GCSE Statistics

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What you need to revise for the GCSE statistics exam - some of the nodes have little notes attached with tips and reminders
Andrea Leyden
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Felix Ulrich-Oltean
Created by Felix Ulrich-Oltean over 9 years ago
Andrea Leyden
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Resource summary

GCSE Statistics
  1. 3. Collecting Data
    1. Sampling methods
      1. Stratified
        1. Systematic
          1. Random starting place, every nth person where n is pop / sample
          2. Random
            1. Every item has an equal chance
              1. Using random number tables
              2. Quota
                1. Key words: sampling frame, sampling unit, census, population
                2. Capture / recapture is just two equiv fractions

                  Annotations:

                  • tagged    tagged in recapture ---------  =  --------------------------- total               recapture size
                  1. Surveys
                    1. Suitable questions (open/closed)
                      1. Pilot surveys
                      2. Data types
                      3. 4. Graphs and Charts
                        1. Histograms
                          1. CF / boxplots
                            1. Skew
                              1. Outliers
                              2. Choropleth
                                1. Comparative pie charts

                                  Annotations:

                                  • Remember to comment on the proportions (angle of slice) and the actual numbers (area)
                                  1. Stem and leaf digrams
                                    1. Misleading graphs
                                      1. Axes
                                        1. Labels
                                          1. Thickness / colour
                                            1. 3D effect
                                          2. 1. Processing Data
                                            1. Standard deviation
                                              1. Mean
                                                1. Median/Quantiles by Interpolation
                                                2. 2. Correlation
                                                  1. Spearman's Rank
                                                    1. Tied ranks
                                                      1. Interpreting the result
                                                      2. Line of best fit
                                                        1. Equation of the line (gradient / intercept)
                                                          1. Make predictions
                                                            1. Extrapolation
                                                          2. 5. Time
                                                            1. Index numbers

                                                              Annotations:

                                                              • Get the scale factor or multiplier by doing: eventual value / original value
                                                              1. Chain-based
                                                                1. Base year
                                                                  1. Weighted
                                                                  2. Time series table and graph
                                                                    1. Moving averages
                                                                      1. Trend line
                                                                        1. Seasonal variations
                                                                          1. Mean seasonal variation / seasonal effect
                                                                            1. Predict future value
                                                                      2. 6. Probability
                                                                        1. Venn diagrams

                                                                          Annotations:

                                                                          • Work from the inside out - remember P(A) is the probability of the whole A circle. Also, remember the box and the number of items outside the circles.
                                                                          1. Tree diagrams
                                                                          2. 7. Distributions
                                                                            1. Normal
                                                                              1. Features, percentages
                                                                                1. QA charts, warning, action limits
                                                                                2. Binomial
                                                                                  1. Discrete uniform
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