Notes covering all of the statistics for Edexcel AS mathematics (2017) , including hypothesis testing, correlation, probability, sampling, binomial distribution, variance and standard deviation
Population of interested items
- completely
-
whole set + accurate
census-obseres/measures every member of a population -time consuming and It
sample-selection of observations taken from a subset of a population -> + less data to process
-
Sampling units individual units of a population
- -
not large enough to give
Sampling frame-list of sampling units info about small subsets
Samples:
selection +
simple random everyone has = chance of >
easy cheap
-
-
,
sample frame needed , not good for large pop
--
.
sytematic-chosen at regular intervals from ordered list
- quick good for
large pops .,
-
can introduce bias if frame is bias
stratified-sorted into strata then sample of each > +
-
reflects pop Structure , guarantees proportional rep
.
↳ numberinstratum sample x ia
-
must be clear Strata
quota-researcher selects sample that reflects pop's characteristics > +
-
small sample rep., no frame , quick
-
bids, non-responses not recorded
opportunity-sample of people available +fit criteria -
> +
easy cheap
,
.
Q : n.4 -
if whole number , way between data point and one above
-
if not whole , round up and pick this data point
Q3 :
nx3-rules as above
(2)
variance
02
:
-(Se where Sxx = [x _
n
Standard deviation = I variance
G
if data coded using yea
D
j
=
↳ :
mean
Ey
=
↳
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