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AQA-7366-2S-FURTHER MATHEMATICS FINAL MARK SCHEME PAPER 2S:Statistics-AS LEVEL-Jun24-v1.0

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AQA-7366-2S-FURTHER MATHEMATICS FINAL MARK SCHEME PAPER 2S:Statistics-AS LEVEL-Jun24-v1.0. AO Description AO1 AO1.1a Select routine procedures AO1.1b Correctly carry out routine procedures AO1.2 Accurately recall facts, terminology and definitions AO2 AO2.1 Construct rigorous mathematical arguments (including proofs) AO2.2a Make deductions AO2.2b Make inferences AO2.3 Assess the validity of mathematical arguments AO2.4 Explain their reasoning AO2.5 Use mathematical language and notation correctly AO3 AO3.1a Translate problems in mathematical contexts into mathematical processes AO3.1b Translate problems in non-mathematical contexts into mathematical processes AO3.2a Interpret solutions to problems in their original context AO3.2b Where appropriate, evaluate the accuracy and limitations of solutions to problems AO3.3 Translate situations in context into mathematical models AO3.4 Use mathematical models AO3.5a Evaluate the outcomes of modelling in context AO3.5b Recognise the limitations of models AO3.5c Where appropriate, explain how to refine models 000005 Page 5 of 14 FURTHER MATHEMATICS MARK SCHEME – AS FURTHER MATHEMATICS – 7366/2S – JUNE 2024 6 Q Marking instructions AO Marks Typical solution 1 Circles the 3rd answer. 1.1b B1 1 Question total 1 Q Marking instructions AO Marks Typical solution 2 Circles the 4th answer. 1.1b B1 Expected B-Y Question total 1 Q Marking instructions AO Marks Typical solution 3 Obtains correct z value AWRT 1.88 or correct t value AWRT 1.90 PI 1.1b B1 z = 1.8808 . . ± . × 15 7 68 2 1 8808 120 (67.5, 68.9) Uses formula for upper or lower limit of a confidence interval using their z value or their t value. PI 1.1a M1 Obtains correct confidence interval AWRT 67.5 and 68.9 1.1b A1 Question total 3 000006 Page 6 of 14 FURTHER MATHEMATICS MARK SCHEME – AS FURTHER MATHEMATICS – 7366/2S – JUNE 2024 7 Q Marking instructions AO Marks Typical solution 4(a) Uses correct formula for E(Y) or E(Y 2 ) PI by sight of 29.45 or 978.23 1.1a M1 E(Y) = 15 × 0.16 + 21 × 0.32 + 36 × 0.29 + 43 × 0.23 E(Y) = 29.45 E(Y 2 ) = 152 × 0.16 + 212 × 0.32 + 362 × 0.29 + 432 × 0.23 E(Y 2 ) = 978.23 s = . . – 2 s = 10.532 s = 10.53 correct to two decimal places Obtains correct value of E(Y) or E(Y 2 ) oe PI by correct variance. 1.1b A1 Uses correct formula for s or s 2 with their values for E(Y) and E(Y 2 ) or obtains s 2 = 110.9275 1.1a M1 Completes a reasoned argument to obtain s = 10.53 Must see s = AWRT 10.532 before final rounded answer. 2.1 R1 Subtotal 4 Q Marking instructions AO Marks Typical solution 4(b) Obtains m = 36 1.1b B1 m = 36 P(Y 36 – 1.5 × 10.53) = P(Y 20.2) = P(Y ≥ 21) = 0.32 + 0.29 + 0.23 = 0.84 Obtains the correct value of their m – 1.5 × 10.53 They may use a more accurate

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AQA
MARK SCHEME AQA




AS




S
FURTHER MATHEMATICS




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7366/2S




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Paper 2 Statistics




A
Mark scheme




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June 2024
Version: 1.0 Final
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Page 1 of 14

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MARK SCHEME – AS FURTHER MATHEMATICS – 7366/2S – JUNE 2024



Mark schemes are prepared by the Lead Assessment Writer and considered, together with the relevant
questions, by a panel of subject teachers. This mark scheme includes any amendments made at the
standardisation events which all associates participate in and is the scheme which was used by them in
this examination. The standardisation process ensures that the mark scheme covers the students’
responses to questions and that every associate understands and applies it in the same correct way.
As preparation for standardisation each associate analyses a number of students’ scripts. Alternative
answers not already covered by the mark scheme are discussed and legislated for. If, after the
standardisation process, associates encounter unusual answers which have not been raised they are
required to refer these to the Lead Examiner.




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It must be stressed that a mark scheme is a working document, in many cases further developed and




C
expanded on the basis of students’ reactions to a particular paper. Assumptions about future mark
schemes on the basis of one year’s document should be avoided; whilst the guiding principles of




TI
assessment remain constant, details will change, depending on the content of a particular examination
paper.




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No student should be disadvantaged on the basis of their gender identity and/or how they refer to the
gender identity of others in their exam responses.




EM
A consistent use of ‘they/them’ as a singular and pronouns beyond ‘she/her’ or ‘he/him’ will be credited in
exam responses in line with existing mark scheme criteria.
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Further copies of this mark scheme are available from aqa.org.uk
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