GCSE Statistics

Collecting Data
1. Sampling methods
  1. Stratified
  2. Systematic
    1. Random starting place, every nth person where n is pop / sample
  3. Random
    1. Every item has an equal chance
    2. Using random number tables
  4. Quota
  5. Key words: sampling frame, sampling unit, census, population
2. Capture / recapture is just two equiv fractions
  Anmerkungen:
  - tagged tagged in recapture --------- = --------------------------- total recapture size
3. Surveys
  1. Suitable questions (open/closed)
  2. Pilot surveys
4. Data types
Graphs and Charts
1. Histograms
2. CF / boxplots
  1. Skew
  2. Outliers
3. Choropleth
4. Comparative pie charts
  Anmerkungen:
  - Remember to comment on the proportions (angle of slice) and the actual numbers (area)
5. Stem and leaf digrams
6. Misleading graphs
  1. Axes
  2. Labels
  3. Thickness / colour
  4. 3D effect
Processing Data
1. Standard deviation
2. Mean
  1. Use midpoints when data is grouped
3. Median/Quantiles by Interpolation
Correlation
1. Spearman's Rank
  1. Tied ranks
  2. Interpreting the result
2. Line of best fit
  1. Equation of the line (gradient / intercept)
  2. Make predictions
  3. Extrapolation
Time
1. Index numbers
  Anmerkungen:
  - Get the scale factor or multiplier by doing: eventual value / original value
  1. Chain-based
  2. Base year
  3. Weighted
2. Time series table and graph
  1. Moving averages
  2. Trend line
  3. Seasonal variations
    1. Mean seasonal variation / seasonal effect
      1. Predict future value
Probability
1. Venn diagrams
  Anmerkungen:
  - 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.
2. Tree diagrams
Distributions
1. Normal
  1. Features, percentages
  2. QA charts, warning, action limits
2. Binomial
3. Discrete uniform

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GCSE Statistics

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