# Edexcel S1 Topic Map

Mind Map by , created over 5 years ago

## A reminder of all the ideas, topics, techniques required for the Edexcel S1 (Statistics 1) module.

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 Created by Felix Ulrich-Oltean over 5 years ago
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Edexcel S1 Topic Map
1 Correlation, Regression
1.1 PMCC
1.1.1 Coding
1.2 Interpretation
1.2.1 eXplanatory, response
1.2.2 meaning of correlation in context
1.2.3 gradient: for every extra 1 in x, you get an extra m in y
1.2.4 intercept: when x is zero, y is expected to be c
1.3 Extrapolation
2 Summary Statistics
2.1 Standard Deviation
2.1.1 Variance
2.2 Mean
2.2.1 Estimate from Grouped Data
2.3 Median and Quantiles
2.3.1 n+1 for individual items, just n for grouped data
2.3.2 Skew
2.3.2.1 Formal definition

Annotations:

• for positive: o (Q2-Q1) &lt; (Q3-Q2), i.e. right side of box fatter o OR mean &gt; median &gt; 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
2.3.3 Outliers: 1.5xIQR away from quartiles
2.3.4 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
2.4 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
3.1 Stem and leaf
3.2 Histogram
3.3 Cumulative Frequency
3.3.1 Curve for continuous, "steps" for discrete
3.4 Box plots
4 Probability
4.1 Discrete Random Variables
4.1.1 Expectation and Variation
4.1.1.1 Expectation Algebra, Var(aX+b), E(aX+b)
4.1.2 Cumulative Probability F(x)
4.1.3 simultaneous equations, use sum of p = 1
4.2 Normal distribution
4.2.1 Two sketches every time
4.2.2 Mapping ("bridge") equation: z=(x-mu)/sd
4.2.2.1 if mean and sd missing, set up two bridge equations
4.2.3 if you have a prob. or a %, do reverse-lookup in tables to get z value
4.3 Trees
4.4 Venn Diagrams
4.4.1 Work from the intersections outwards, P(A) means the whole circle
4.4.2 Remember the BOX
4.5 GIVEN THAT means DENOMINATOR
4.6 Independent events: P(A) x P(B) = P(AnB)