Edexcel A Level Math’s – Statistics Questions and Answers 2025

Edexcel A Level Math’s – Statistics Questions
and Answers 2025
LinearARegressionA-ACORRECTAANSWERSA-yA=AaxⁿA

logyA=AlogaA+Anlogx
ExponentialARegressionA-ACORRECTAANSWERSA-yA=Aab^xA

logyA=AlogaA+Axlogb
NormalAApproximationA-ACORRECTAANSWERSA-µA=Anp

σA=√(np(1-p))
MeanA-ACORRECTAANSWERSA-∑xA÷An

GF:A∑xfA÷A∑f
VarianceA-ACORRECTAANSWERSA-(∑x²/n)A-A(∑x/n)²
StandardADeviationA-ACORRECTAANSWERSA-√variance
Histograms:AHeightA-ACORRECTAANSWERSA-AreaA=AkAxAfrequency
FrequencyADensityA-ACORRECTAANSWERSA-frequencyA÷AclassAwidth
PopulationA-ACORRECTAANSWERSA-WholeAsetAofAitemsAofAinterest.
CensusA-ACORRECTAANSWERSA-Observes/measuresAeveryAmemberAofAaApopulation
SampleA-ACORRECTAANSWERSA-
SelectionAofAobservationsAtakenAfromAaAsubsetAofAtheApopulationAwhichAisAusedAtoAfindAout
AinfoAaboutAtheApopulation.

SamplingAFrameA-ACORRECTAANSWERSA-
AAlistAofAindividualsA(namedAorAnumbered)AfromAwhomAtheAsampleAisAdrawn
RandomASamplingA-ACORRECTAANSWERSA-
EveryAmemberAofAtheApopulationAhasAanAequalAchanceAofAbeingAselected
SystematicASamplingA-ACORRECTAANSWERSA-EveryAnthApersonAisAchosen.
StratifiedASamplingA-ACORRECTAANSWERSA-
PopulationAisAdividedAintoAmutuallyAexclusiveAStratAandAaArandomAsampleAisAtakenAfromAe
ach.
QuotaASamplingA-ACORRECTAANSWERSA-
InterviewerAselectsAaAsampleAthatAreflectsAtheAcharacteristicsAofAtheApopulation
OpportunityASamplingA-ACORRECTAANSWERSA-ChoosingAwhoeverAisAavailable
ContinuousAVariableA-ACORRECTAANSWERSA-CanAtakeAanyAvalueAinAaAgivenArange
DiscreteAVariableA-ACORRECTAANSWERSA-TakesAspecificAvaluesAinAaAgivenArange
ConditionsAforABinomialA-ACORRECTAANSWERSA-FixedAno.AofAtrials
2ApossibleAoutcomes
OutcomesAareAindependentA
FixedAprobabilityAofAsuccess
Probability:AIndependentAif...A-ACORRECTAANSWERSA-P(A∩B)A=AP(A)AXAP(B)

,P(A|B)A=AP(A)
Probability:AMutuallyAexclusiveAif...A-ACORRECTAANSWERSA-P(A∩B)A=A0

P(A∪B)A=AP(A)A+AP(B)
ConditionalAProbabilityA-ACORRECTAANSWERSA-P(A|B)A=AP(A∩B)/P(B)
ProbabilityAAdditionARuleA-ACORRECTAANSWERSA-P(A∪B)A=AP(A)A+AP(B)A-AP(A∩B)
IfAthereAareA3Aevents,AandAAAandABAareAmutuallyAexclusive...A-ACORRECTAANSWERSA-
P(A∪B∪C)A=AP(A)A+AP(B)A+AP(C)A-AP(A∩C)A-AP(B∩C)
WhatAisAaADRVA-AdiscreteArandomAvariableA-ACORRECTAANSWERSA-
itAisAaArandomAvariableAthatAcanAonlyAtakeAcertainAvalues
...A-ACORRECTAANSWERSA-...
probabilityAmassAfunctionA-ACORRECTAANSWERSA-
aAfunctionAthatAgivesAtheAprobabilityAthatAaAdiscreteArandomAvariableAisAexactlyAequalAtoAso
meAvalue
whatAdoesAaAprobabilityAdistributionAdoA-ACORRECTAANSWERSA-
describesAtheAprobabilityAofAanyAoutcomeAinAtheAsampleAspace
P(A/B)A=A-ACORRECTAANSWERSA-(P(AAnAB))A
---------------
P(B)
IfAtheyAareAindependentAeventsAP(A)A*AP(B)A=A-ACORRECTAANSWERSA-P(AANAB)
SUMAOFAP(X=x)A=A-ACORRECTAANSWERSA-1
formulaAforAprobabilityAX=rAwhereAXAisAtheAnumberAofAdesiredAoutcomesA
binomialAdistributionAformulaA-ACORRECTAANSWERSA-nCrAP^rA*A(1-p)^(n-r)

pA=AprobabilityAofAsuccess
rA=AnumberAofAtimesAyouAwantAsuccess
n=AnumberAofAtrials
standardAdeviationA-ACORRECTAANSWERSA-
aAcomputedAmeasureAofAhowAmuchAscoresAvaryAaroundAtheAmeanAscore
generalAprobabilityAadditionAruleA-ACORRECTAANSWERSA-P(A∪B)=P(A)+P(B)−P(A∩B)

P(A∩B)=P(A)+P(B)−P(A∪B)
whatAisAanAeventA-ACORRECTAANSWERSA-aAsetAofApossibleAoutcomesA-
AnotAnecessarilyAequallyAlikely

sampleAspaceA-ACORRECTAANSWERSA-setAofAallApossibleAoutcomesA,AallAequallyAlikely
AA∪ABA-ACORRECTAANSWERSA-meansAAAorABAorAboth
AA∩ABA-ACORRECTAANSWERSA-meansAbothAAAandAB
TheArulesAforAtreeAdiagramsAareA-ACORRECTAANSWERSA-
SelectAwhichAbranchesAyouAneed
MultiplyAalongAeachAbranch
AddAtheAresultsAofAeachAbranchAneeded.
MakeAsureAthatAyouAincludeAenoughAworkingAtoAshowAwhichAbranchesAyouAareAusingA(met
hod).A
BeAcarefulAtoAallowAforAselectionAwithAandAwithoutAreplacement.

, ifAyouAareAtoldAwhatAhasAhappenedAforAtheAfirstAchoiceAandAneedAtoAfindAsecondAyouAreadA
offAtreeAdiagram

ifAyouAareAtoldAwhatAhasAhappenedAforAtheAsecondAchoiceAuseAformula
sampleAspaceAdiagramA-ACORRECTAANSWERSA-
mutuallyAexclusiveAeventsA-ACORRECTAANSWERSA-
TwoAeventsAthatAcannotAoccurAatAtheAsameAtime
whatAisAP(A∩B)AifAtwoAeventsAareAmutuallyAexclusiveA-ACORRECTAANSWERSA-
P(A∩B)A=A0
SamplingAunitsA-ACORRECTAANSWERSA-IndividualAunitsAofAaApopulation
whatAdoesAaAcensusAdoA-ACORRECTAANSWERSA-
observesAandAmeasuresAeveryAmemberAofAaApopulation
advantagesA/AdisadvantagesAofAcensusA-ACORRECTAANSWERSA-advantagesA:

givesAaAcompletelyAaccurateAresult

disadvantagesA
-timeAconsumingAandAexpensiveA
-hardAtoAprocessAlargeAquantityAofAdata
advantages/disadvantagesAofAaAsampleA-ACORRECTAANSWERSA-advantagesA:

lessAtimeAconsumingAandAexpensiveAthanAcensus
fewerApeopleAhaveAtoArespond
lessAdataAtoAprocessAthanAinAaAcensus

disadvantages

dataAmayAnotAbeAasAaccurate
sampleAmayAnotAbeAlargeAenoughAtoAgiveAinformationAaboutAsubAgroupsAofAtheApopulation
samplingAframeA-ACORRECTAANSWERSA-
aAlistAofAindividualsAfromAwhomAtheAsampleAisAdrawn
populationA-ACORRECTAANSWERSA-aAwholeAsetAofAitemsAthatAareAofAinterest
sampleA-ACORRECTAANSWERSA-
aAselectionAofAobservationsAtakenAfromAtheAsubsetAofAtheApopulationAwhichAisAusedAtoAfindA
outAinformationAaboutAtheApopulationAasAaAwhole
simpleArandomAsamplingA-ACORRECTAANSWERSA-
EveryAsampleAfromAtheApopulationAhasAanAequalAchanceAofAbeingAchosen

-
AformedAbyAwhenAeachAitemAgivenAnumberAthenArandomAnumberAgeneratorAusedAorAlotter

y
simpleArandomAsamplingAadvantages/disadvantagesA-ACORRECTAANSWERSA-
advantages

-easyAandAcheapAtoAimplementAforAsmallApopulationsAandAsmallAsamples