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Statistics 1

Formulae
Representation and Summary
=
=

2 2 2 2
=
-(
) =
- ( )
3( -2 )
2 =

Correlation and Regression ( )2 ( )2
= ( 2 ) -
= ( 2 ) -

( ) 2 ( )2
= ( 2 )…

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Notes Tips
Mathematical 1. A real world problem is observed Advantages of mathematical models:
Models 2. A mathematical model is devised They simplify a complex situation
3. The mathematical model is used to make predicted They improve understanding of the situation
outcomes of the real world problem They are quick…

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= - Remember to relate the summary to context
= 3 - 1 For positive skew, < 2 <
= 2 - 1 For negative skew, < 2 <
2 =
3( -2 )
> 0; positive skew Know an outlier is 1.5 interquartile ranges above the

3( -2 )…

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Probability P( ) = 1 - P() For independent events, draw a Venn diagram
P( ) = P() × P(|) For conditional events, draw a tree diagram
P( ) = P() + P() - P( ) P( ) =
P() + P() - P( )
P()
P(|) = P()
P(…

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