Edexcel A-level Further Mathematics 'Statistics 3 (S3)' Revision

Contains a list of all the formulae you need for the exam, as well as further notes and tips on the Edexcel specification of Statistics 3 (S3).

Pages in this set

Page 1

Preview of page 1
Statistics 3

Formulae
2) 2
Sampling ~( , ~( ,
, )
+ ~( + , 2 2
+ 2 2
)
2 2 2 2
- ~( - , + )
() = ()()
( + ) = +
( - ) = -
( + ) = 2…

Page 2

Preview of page 2

± ; confidence interval


2 ; confidence interval width

Goodness of Fit ( - )2
2 = =1
, > 5
~[, ]
1
( = ) = , = 1, 2, ... ,

1
= ( = ) = , = 1, 2, ... ,
= - 1
~(,…

Page 3

Preview of page 3
= - 1; if neither nor 2 are estimated
= - 2; if either or 2 is estimated
= - 3; if both and 2 are estimated
~[, ]
-
( < < ) =
-
= ( < < )
= - 1
×
=
= ( - 1)(…

Page 4

Preview of page 4
Notes Tips
Sampling Simple random sample - A simple random sample The advantages and disadvantages of a simple
is a sample of size where every other sample of random sample are:
size has an equal chance of being selected Advantages: More accurate estimates as
Simple random sample of 15 pupils…

Page 5

Preview of page 5
enrolled in to obtain a sampling frame; select Disadvantages: Not suitable for large
required number of students from each course populations; sampling frame required which
using a random numbers table may be difficult to construct or may not exist
Quota sample of 30 fish from an estimated 1400 for large…

Page 6

Preview of page 6
() = ; unbiased estimator Know the unbiased estimator of 2 assumes that the
= () - variance of the sample is equal to the variance of the
population
~(, 2 ) Know to use the Percentage Points of the Normal
-
= Distribution table to find

= To do…

Page 7

Preview of page 7
Know that the central limit theorem assumes that if
the sample size is large enough; then is
approximately normally distributed
2
~ ( , ),

2
~ ( , ) Know the test of of two normal distributions

( - )-( - )
assumes that and are independent random
=…

Page 8

Preview of page 8
Goodness of Fit ( - )2 Know to use the Percentage Points of the Chi-
2 = =1
, > 5
2
Squared Distribution table to find
Know if the is less than five, e.g. combine the last
two groups to leave five groups; degrees of freedom
is given by…

Page 9

Preview of page 9
~(, ) If the binomial model is not suitable, then:
(× )
= Trials are not independent
×
There is not a fixed number of trials
( = ) = (
) () (1 - )- , = 0, 1, 2, ... ,
Each trial is not either success or…

Page 10

Preview of page 10
×
= To do a test whether two variables are independent

or not independent:
= ( - 1)( - 1)
State the null hypothesis (e.g. 0 : No
association between height and weight) and
the alternative hypothesis (e.g. 1 : There is
an association between height and weight)
Calculate and…

Comments

No comments have yet been made

Similar Further Maths resources:

See all Further Maths resources »