Edexcel S1 Topic Map

Description

A reminder of all the ideas, topics, techniques required for the Edexcel S1 (Statistics 1) module.
ruth.ringrose
Mind Map by ruth.ringrose, updated more than 1 year ago More Less
Felix Ulrich-Oltean
Created by Felix Ulrich-Oltean about 11 years ago
ruth.ringrose
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Resource summary

Edexcel S1 Topic Map
  1. Correlation, Regression
    1. PMCC
      1. Coding
      2. Interpretation
        1. eXplanatory, response
          1. meaning of correlation in context
            1. gradient: for every extra 1 in x, you get an extra m in y
              1. intercept: when x is zero, y is expected to be c
              2. Extrapolation
              3. Summary Statistics
                1. Standard Deviation
                  1. Variance
                  2. Mean
                    1. Estimate from Grouped Data
                    2. Median and Quantiles
                      1. Skew
                        1. Formal definition

                          Annotations:

                          • for positive: o (Q2-Q1) < (Q3-Q2), i.e. right side of box fatter o OR mean > median > mode, i.e. the lump of the mode happens early on, then there's more spread on the positive side o 3(mean - median) / sd
                        2. Outliers: 1.5xIQR away from quartiles
                          1. Interpolation

                            Annotations:

                            • it's basically about how far through the relevant class our wanted figure is.: (how many items into this group) / (frequency of this group) x class width + class lower bound
                            1. Round UP position ONLY for RAW data
                            2. When Comparing Data, USE YOUR ASS!

                              Annotations:

                              • Comment on: o averages (whichever is handy) o spread (sd, iqr, range) o skew use proper statistical names for things, not just "average" or "spread"
                            3. Graphs and Charts
                              1. Stem and leaf
                                1. Histogram
                                  1. fd = freq/cw
                                    1. AREA represents FREQ
                                    2. Box plots
                                    3. Probability
                                      1. Discrete Random Variables
                                        1. Expectation and Variation
                                          1. Expectation Algebra, Var(aX+b), E(aX+b)
                                          2. Cumulative Probability F(x)
                                            1. simultaneous equations, use sum of p = 1
                                            2. Normal distribution
                                              1. if you have a prob. or a %, do reverse-lookup in tables to get z value
                                                1. z=(x-mean)/sd
                                                  1. when both mean and sd are unknown, write 2 z eqns and solve simultaneously
                                                  2. ALWAYS draw a SKETCH
                                                  3. Trees
                                                    1. Venn Diagrams
                                                      1. Work from the intersections outwards, P(A) means the whole circle
                                                        1. Remember the BOX
                                                        2. GIVEN THAT means DENOMINATOR
                                                          1. Independent events: P(A) x P(B) = P(AnB)
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