Statistics topics

Cumulative Frequency
1. CF charts
  1. Calculate CF by summing frequencies
  2. Plot at end of range
  3. Read off median, UQ, LQ, etc.
  4. They always go up, S -shape
2. Box plots
  Annotations:
  - http://www.gcsemathstutor.com/cumulativefreq.php
Histograms
1. Frequency (area) = Frequency Density (y-axis) x Column width (x-axis)
  Annotations:
  - http://www.bbc.co.uk/schools/gcsebitesize/maths/statistics/representingdata3hirev3.shtml
  1. Find Median : half area either side
    1. find other % splits
Describing / comparing data
1. 1 point per mark
2. Compare mean to mean, IQR to IQR, etc
3. Outliers
Bivariate data
1. Scatter graphs
  1. Always draw a LOBF
    1. Find and interpret gradient and y-intercept
  2. Correlation
    1. Positive, negative, weak, strong, none
    2. Correlation does not imply causation
      Annotations:
      - http://www.tylervigen.com/spurious-correlations
  3. Interpolation (within data) OK, Extrapolation (outside range of data) BAD
Collecting data
1. Survey -> Sample Census -> Population
  1. Pros / cons of sampling
2. Capture / Recapture
  Annotations:
  - Equivalent fraction
3. Stratified Sampling
Grouped Data
1. Discrete / continuous data
  Annotations:
  - http://intellspot.com/discrete-vs-continuous-data/
2. Easier to represent, but info is "lost"
3. Find the mean
  1. Add the fx column
4. Frequency polygon
  1. Plot at MIDPOINTS, join dot to dot, not to origin
5. Find the median
  1. Total frequency is n, find the n/2 th item
Two way tables
1. Don't forget to include TOTAL row and column
Charts
1. Bar Charts
2. Pie Charts
  1. Limitation - totals not obvious
3. Pictograms
4. Vertical Line Charts
  Annotations:
  - http://wtmaths.com/vertical_line_charts.html
  1. Discrete data
5. Time Series

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	Created by Mark Horley almost 7 years ago