2025 Pearson Edexcel Level 3 Further Mathematics Advanced PAPER 4B: Further Statistics 2Combined Question Paper &
Final Marking Scheme
Please check the examination details below before entering your candidate information
Candidate surname Other names
Centre Number Candidate Number
Pearson Edexcel Level 3 GCE
Monday 23 June 2025
Afternoon (Time: 1 hour 30 minutes)
Paper
reference 9FM0/4B
Further Mathematics
Advanced
PAPER 4B: Further Statistics 2
You must have: Total Marks
Mathematical Formulae and Statistical Tables (Green), calculator
Candidates may use any calculator permitted by Pearson regulations.
Calculators must not have the facility for symbolic algebra manipulation,
differentiation and integration, or have retrievable mathematical formulae
stored in them.
Instructions
•• IfUsepencil
black ink or ball-point pen.
is used for diagrams/sketches/graphs it must be dark (HB or B).
• Fillcentre
in the boxes at the top of this page with your name,
number and candidate number.
• clearly labelled.
Answer all questions and ensure that your answers to parts of questions are
• Answer the questions in the spaces provided
– there may be more space than you need.
• You should show sufficient working to make your methods clear.
Answers without working may not gain full credit.
• Values from statistical tables should be quoted in full. If a calculator is used instead of
tables the value should be given to an equivalent degree of accuracy.
•Information
Inexact answers should be given to three significant figures unless otherwise stated.
•• There
A booklet ‘Mathematical Formulae and Statistical Tables’ is provided.
are 7 questions in this question paper. The total mark for this paper is 75.
• – use this asfora guide
The marks eachas question
to how are
muchshown
timeintobrackets
spend on each question.
•Advice
Read each question carefully before you start to answer it.
•• Check
Try to answer every question.
your answers if you have time at the end. Turn over
P75690A
©2025 Pearson Education Ltd.
Y:1/1/1/
,1. A medical researcher is exploring the relationship between the weight, x kg, and the
head circumference, y cm, of newborn babies. A random sample of 15 newborn babies is
taken and the data are summarised by the following statistics
DO NOT WRITE IN THIS AREA
x 50.46 x 2
171.828 y 518.9 y 2
18004.47 Sxy 7.8284
(a) Show that, to 3 decimal places, Sxx = 2.081 and Syy = 53.989
(3)
(b) Find the equation of the regression line of y on x, giving your answer in the
form y = a + bx
(3)
(c) Find the residual sum of squares (RSS) for these data.
(1)
One of these 15 babies had a birth weight of 3.26 kg and a head circumference
of 36.8 cm
(d) Find the residual for this baby.
(2)
DO NOT WRITE IN THIS AREA
The researcher claims that this baby could be an outlier.
(e) Using your answers to part (c) and part (d), give a reason that might support
this claim.
(1)
DO NOT WRITE IN THIS AREA
2
, DO NOT WRITE IN THIS AREA DO NOT WRITE IN THIS AREA DO NOT WRITE IN THIS AREA
Question 1 continued
Turn over
3
, DO NOT WRITE IN THIS AREA DO NOT WRITE IN THIS AREA DO NOT WRITE IN THIS AREA
Question 1 continued
4
Final Marking Scheme
Please check the examination details below before entering your candidate information
Candidate surname Other names
Centre Number Candidate Number
Pearson Edexcel Level 3 GCE
Monday 23 June 2025
Afternoon (Time: 1 hour 30 minutes)
Paper
reference 9FM0/4B
Further Mathematics
Advanced
PAPER 4B: Further Statistics 2
You must have: Total Marks
Mathematical Formulae and Statistical Tables (Green), calculator
Candidates may use any calculator permitted by Pearson regulations.
Calculators must not have the facility for symbolic algebra manipulation,
differentiation and integration, or have retrievable mathematical formulae
stored in them.
Instructions
•• IfUsepencil
black ink or ball-point pen.
is used for diagrams/sketches/graphs it must be dark (HB or B).
• Fillcentre
in the boxes at the top of this page with your name,
number and candidate number.
• clearly labelled.
Answer all questions and ensure that your answers to parts of questions are
• Answer the questions in the spaces provided
– there may be more space than you need.
• You should show sufficient working to make your methods clear.
Answers without working may not gain full credit.
• Values from statistical tables should be quoted in full. If a calculator is used instead of
tables the value should be given to an equivalent degree of accuracy.
•Information
Inexact answers should be given to three significant figures unless otherwise stated.
•• There
A booklet ‘Mathematical Formulae and Statistical Tables’ is provided.
are 7 questions in this question paper. The total mark for this paper is 75.
• – use this asfora guide
The marks eachas question
to how are
muchshown
timeintobrackets
spend on each question.
•Advice
Read each question carefully before you start to answer it.
•• Check
Try to answer every question.
your answers if you have time at the end. Turn over
P75690A
©2025 Pearson Education Ltd.
Y:1/1/1/
,1. A medical researcher is exploring the relationship between the weight, x kg, and the
head circumference, y cm, of newborn babies. A random sample of 15 newborn babies is
taken and the data are summarised by the following statistics
DO NOT WRITE IN THIS AREA
x 50.46 x 2
171.828 y 518.9 y 2
18004.47 Sxy 7.8284
(a) Show that, to 3 decimal places, Sxx = 2.081 and Syy = 53.989
(3)
(b) Find the equation of the regression line of y on x, giving your answer in the
form y = a + bx
(3)
(c) Find the residual sum of squares (RSS) for these data.
(1)
One of these 15 babies had a birth weight of 3.26 kg and a head circumference
of 36.8 cm
(d) Find the residual for this baby.
(2)
DO NOT WRITE IN THIS AREA
The researcher claims that this baby could be an outlier.
(e) Using your answers to part (c) and part (d), give a reason that might support
this claim.
(1)
DO NOT WRITE IN THIS AREA
2
, DO NOT WRITE IN THIS AREA DO NOT WRITE IN THIS AREA DO NOT WRITE IN THIS AREA
Question 1 continued
Turn over
3
, DO NOT WRITE IN THIS AREA DO NOT WRITE IN THIS AREA DO NOT WRITE IN THIS AREA
Question 1 continued
4
