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Title: Statistics 2
Description: All-In-One Page Notes Revision notes made for the Statistics 2 Edexcel A-Level module (content will overlap with most statistics modules). I've personally condensed the entire module into a clear and detailed overview all on only one page! It contains all the necessary content for that A*. Happy revising :)
Description: All-In-One Page Notes Revision notes made for the Statistics 2 Edexcel A-Level module (content will overlap with most statistics modules). I've personally condensed the entire module into a clear and detailed overview all on only one page! It contains all the necessary content for that A*. Happy revising :)
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S2 Revision Notes
Binomial distribution
Key Words: fixed trials, large n small p, expectation, variance, standard deviation
Use Binomials when: exact probability of an event happening in a fixed no
...
d
...
, c
...
f, quartiles, percentiles
Probability density function (f(x) is the relative frequency of x in the given sample)
o
o
∞
∫−∞ 𝑓(𝑥) 𝑑𝑥 = 1
𝑏
𝑃(𝑎 < 𝑥 < 𝑏) = ∫𝑎 𝑓(𝑥) 𝑑𝑥
o
𝑓(𝑥) ≥ 0 for all x
Cumulative distribution function (F(x) is the cumulative frequency of x for the same f(x))
𝑎
o
𝑃(𝑥 ≤ 𝑎) = 𝐹(𝑎) = ∫ 𝑓(𝑥) 𝑑𝑥
−∞
o
𝐸(𝑋) = 𝜇 = ∫−∞ 𝑥𝑓(𝑥) 𝑑𝑥
o
o
o
o
o
𝑉𝑎𝑟(𝑋) = 𝜎 2 = 𝐸(𝑋 2 ) − 𝜇 2 = ∫ 𝑥 2 𝑓(𝑥) 𝑑𝑥 − (∫ 𝑥𝑓(𝑥) 𝑑𝑥)
−∞
−∞
𝐿𝑜𝑤𝑒𝑟 𝑄𝑢𝑎𝑟𝑡𝑖𝑙𝑒 (𝑄1 ): 𝐹(𝑄1 ) = 0
...
5
𝑈𝑝𝑝𝑒𝑟 𝑄𝑢𝑎𝑟𝑡𝑖𝑙𝑒 (𝑄3 ): 𝐹(𝑄3 ) = 0
...
d
...
d
...
d
...
d
...
d
...
5 ≤ 𝑋 ≤ 5
Title: Statistics 2
Description: All-In-One Page Notes Revision notes made for the Statistics 2 Edexcel A-Level module (content will overlap with most statistics modules). I've personally condensed the entire module into a clear and detailed overview all on only one page! It contains all the necessary content for that A*. Happy revising :)
Description: All-In-One Page Notes Revision notes made for the Statistics 2 Edexcel A-Level module (content will overlap with most statistics modules). I've personally condensed the entire module into a clear and detailed overview all on only one page! It contains all the necessary content for that A*. Happy revising :)