2024 AQA AS FURTHER MATHEMATICS Paper 2 Statistics MAY Question Paper and
Mark Scheme MERGED
Please write clearly in block capitals.
Centre number Candidate number
Surname
Forename(s)
Candidate signature
I declare this is my own work.
AS
FURTHER MATHEMATICS
Paper 2 Statistics
Friday 17 May 2024 Afternoon Time allowed: 1 hour 30 minutes
Materials For Examiner’s Use
You must have the AQA Formulae and statistical tables booklet for
A-level Mathematics and A-level Further Mathematics. Question Mark
You should have a graphical or scientific calculator that meets the
requirements of the specification. 1
You must ensure you have the other optional Question Paper/Answer Book
2
for which you are entered (either Discrete or Mechanics). You will have
1 hour 30 minutes to complete both papers. 3
Instructions 4
Use black ink or black ball-point pen. Pencil should only be used for drawing.
Fill in the boxes at the top of this page.
5
Answer all questions.
You must answer each question in the space provided for that question. 6
If you require extra space for your answer(s), use the lined pages at the end
of this book. Write the question number against your answer(s). 7
Do not write outside the box around each page or on blank pages.
Show all necessary working; otherwise marks for method may be lost. TOTAL
Do all rough work in this book. Cross through any work that you do not want
to be marked.
Information
The marks for questions are shown in brackets.
The maximum mark for this paper is 40.
Advice
Unless stated otherwise, you may quote formulae, without proof, from the booklet.
You do not necessarily need to use all the space provided.
,(JUN2473662S01)
G/LM/Jun24/G4001/V6
7366/2S
, 2
Do not write
outside the
box
Answer all questions in the spaces provided.
1 The discrete random variable X has probability distribution function
0.45 x=1
0.25 x=2
P(X = x) = 0.25 x=3
State the mode of X
{ 0.05
0
x=4
otherwise
Circle your answer.
[1 mark]
0.25 0.45 1 2.5
2 A test for association is to be carried out.
The tables below show the observed frequencies and the expected frequencies that
are to be used for the test.
Observed X Y Z Expected X Y Z
A 28 6 66 A 45 15 40
B 8 8 4 B 9 3 8
C 54 16 10 C 36 12 32
It is necessary to merge some rows or columns before the test can be carried out.
Find the entry in the tables that provides evidence for this.
Circle your answer.
[1 mark]
Observed A-Z Observed B-Z Expected A-X Expected B-Y
(02)
G/Jun24/7366/2S
, 3
Do not write
outside the
box
3 The random variable X has a normal distribution with known variance 15.7
A random sample of size 120 is taken from X
The sample mean is 68.2
Find a 94% confidence interval for the population mean of X
Give your limits to three significant figures.
[3 marks]
Turn over for the next question
Turn over ►
(03)
G/Jun24/7366/2S
Mark Scheme MERGED
Please write clearly in block capitals.
Centre number Candidate number
Surname
Forename(s)
Candidate signature
I declare this is my own work.
AS
FURTHER MATHEMATICS
Paper 2 Statistics
Friday 17 May 2024 Afternoon Time allowed: 1 hour 30 minutes
Materials For Examiner’s Use
You must have the AQA Formulae and statistical tables booklet for
A-level Mathematics and A-level Further Mathematics. Question Mark
You should have a graphical or scientific calculator that meets the
requirements of the specification. 1
You must ensure you have the other optional Question Paper/Answer Book
2
for which you are entered (either Discrete or Mechanics). You will have
1 hour 30 minutes to complete both papers. 3
Instructions 4
Use black ink or black ball-point pen. Pencil should only be used for drawing.
Fill in the boxes at the top of this page.
5
Answer all questions.
You must answer each question in the space provided for that question. 6
If you require extra space for your answer(s), use the lined pages at the end
of this book. Write the question number against your answer(s). 7
Do not write outside the box around each page or on blank pages.
Show all necessary working; otherwise marks for method may be lost. TOTAL
Do all rough work in this book. Cross through any work that you do not want
to be marked.
Information
The marks for questions are shown in brackets.
The maximum mark for this paper is 40.
Advice
Unless stated otherwise, you may quote formulae, without proof, from the booklet.
You do not necessarily need to use all the space provided.
,(JUN2473662S01)
G/LM/Jun24/G4001/V6
7366/2S
, 2
Do not write
outside the
box
Answer all questions in the spaces provided.
1 The discrete random variable X has probability distribution function
0.45 x=1
0.25 x=2
P(X = x) = 0.25 x=3
State the mode of X
{ 0.05
0
x=4
otherwise
Circle your answer.
[1 mark]
0.25 0.45 1 2.5
2 A test for association is to be carried out.
The tables below show the observed frequencies and the expected frequencies that
are to be used for the test.
Observed X Y Z Expected X Y Z
A 28 6 66 A 45 15 40
B 8 8 4 B 9 3 8
C 54 16 10 C 36 12 32
It is necessary to merge some rows or columns before the test can be carried out.
Find the entry in the tables that provides evidence for this.
Circle your answer.
[1 mark]
Observed A-Z Observed B-Z Expected A-X Expected B-Y
(02)
G/Jun24/7366/2S
, 3
Do not write
outside the
box
3 The random variable X has a normal distribution with known variance 15.7
A random sample of size 120 is taken from X
The sample mean is 68.2
Find a 94% confidence interval for the population mean of X
Give your limits to three significant figures.
[3 marks]
Turn over for the next question
Turn over ►
(03)
G/Jun24/7366/2S
