Statistics topics

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All you need to know and top tips for statistics topics for Edexcel GCSE Maths
Mark Horley
Mapa Mental por Mark Horley, actualizado hace más de 1 año
Mark Horley
Creado por Mark Horley hace alrededor de 6 años
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Statistics topics
  1. Cumulative Frequency
    1. CF charts
      1. Calculate CF by summing frequencies
        1. Plot at end of range
          1. Read off median, UQ, LQ, etc.
            1. They always go up, S -shape
            2. Box plots

              Nota:

              • http://www.gcsemathstutor.com/cumulativefreq.php
            3. Histograms
              1. Frequency (area) = Frequency Density (y-axis) x Column width (x-axis)

                Nota:

                • http://www.bbc.co.uk/schools/gcsebitesize/maths/statistics/representingdata3hirev3.shtml
                1. Find Median : half area either side
                  1. find other % splits
              2. Describing / comparing data
                1. 1 point per mark
                  1. Compare mean to mean, IQR to IQR, etc
                    1. Outliers
                    2. 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
                              1. Correlation does not imply causation

                                Nota:

                                • http://www.tylervigen.com/spurious-correlations
                              2. Interpolation (within data) OK, Extrapolation (outside range of data) BAD
                            2. Collecting data
                              1. Survey -> Sample Census -> Population
                                1. Pros / cons of sampling
                                2. Capture / Recapture

                                  Nota:

                                  • Equivalent fraction
                                  1. Stratified Sampling
                                  2. Grouped Data
                                    1. Discrete / continuous data

                                      Nota:

                                      • http://intellspot.com/discrete-vs-continuous-data/
                                      1. Easier to represent, but info is "lost"
                                        1. Find the mean
                                          1. Add the fx column
                                          2. Frequency polygon
                                            1. Plot at MIDPOINTS, join dot to dot, not to origin
                                            2. Find the median
                                              1. Total frequency is n, find the n/2 th item
                                            3. Two way tables
                                              1. Don't forget to include TOTAL row and column
                                              2. Charts
                                                1. Bar Charts
                                                  1. Pie Charts
                                                    1. Limitation - totals not obvious
                                                    2. Pictograms
                                                      1. Vertical Line Charts

                                                        Nota:

                                                        • http://wtmaths.com/vertical_line_charts.html
                                                        1. Discrete data
                                                        2. Time Series
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