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
Paper
Afternoon (Time: 1 hour 30 minutes)
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
Use black ink or ball-point pen.
•
If pencil is used for diagrams/sketches/graphs it must be dark (HB or B).
Fill in the boxes at the top of this page with your name,
•
centre number and candidate number.
Answer all questions and ensure that your answers to parts of questions are
•
clearly labelled.
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
•Information
tables the value should be given to an equivalent degree of accuracy.
Inexact answers should be given to three significant figures unless otherwise stated.
A booklet „Mathematical Formulae and Statistical Tables‟ is provided.
•
There are 7 questions in this question paper. The total mark for this paper is 75.
The marks for each question are shown in brackets
– use this as a guide as to how much time to spend on each question.
PEARSON A LEVEL FURTHER MATHEMATICS PAPER
4B FURTHER STATISTICS 2 C O M B I N E D QUESTION
PAPER & MARK SCHEME
Read each question carefully before you start to answer it.
•
Try to answer every question.
Check your answers if you have time at the end. Turn over
.
*P75690A0124*
,
,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 D
taken and the data are summarised by the following statistics
2 2
O
x 50.46 x 171.828 y 518.9 y 18 004.47 S xy 7.8284 N
O
(a) Show that, to 3 decimal places, Sxx = 2.081 and Syy = 53.989
(3) T
W
RI
(b) Find the equation of the regression line of y on x, giving your answer in the TE
form y = a + bx
(3)
IN
(c) Find the residual sum of squares (RSS) for these data. T
(1) HI
S
One of these 15 babies had a birth weight of 3.26 kg and a head circumference
of 36.8 cm AR
(d) Find the residual for this baby. EA
(2)
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)
D
O
N
O
T
W
RI
TE
IN
T
HI
S
AR
EA
2 D
*P75690A0224*
, Question 1 continued
AR
EA
TH
IS
IN
W
RI
TE
T
N
O
D
O
AR
EA
TH
IS
IN
W
RI
TE
T
N
O
D
O
*P75690A0324* 3
Turn over
Candidate surname Other names
Centre Number Candidate Number
Pearson Edexcel Level 3 GCE
Monday 23 June 2025
Paper
Afternoon (Time: 1 hour 30 minutes)
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
Use black ink or ball-point pen.
•
If pencil is used for diagrams/sketches/graphs it must be dark (HB or B).
Fill in the boxes at the top of this page with your name,
•
centre number and candidate number.
Answer all questions and ensure that your answers to parts of questions are
•
clearly labelled.
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
•Information
tables the value should be given to an equivalent degree of accuracy.
Inexact answers should be given to three significant figures unless otherwise stated.
A booklet „Mathematical Formulae and Statistical Tables‟ is provided.
•
There are 7 questions in this question paper. The total mark for this paper is 75.
The marks for each question are shown in brackets
– use this as a guide as to how much time to spend on each question.
PEARSON A LEVEL FURTHER MATHEMATICS PAPER
4B FURTHER STATISTICS 2 C O M B I N E D QUESTION
PAPER & MARK SCHEME
Read each question carefully before you start to answer it.
•
Try to answer every question.
Check your answers if you have time at the end. Turn over
.
*P75690A0124*
,
,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 D
taken and the data are summarised by the following statistics
2 2
O
x 50.46 x 171.828 y 518.9 y 18 004.47 S xy 7.8284 N
O
(a) Show that, to 3 decimal places, Sxx = 2.081 and Syy = 53.989
(3) T
W
RI
(b) Find the equation of the regression line of y on x, giving your answer in the TE
form y = a + bx
(3)
IN
(c) Find the residual sum of squares (RSS) for these data. T
(1) HI
S
One of these 15 babies had a birth weight of 3.26 kg and a head circumference
of 36.8 cm AR
(d) Find the residual for this baby. EA
(2)
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)
D
O
N
O
T
W
RI
TE
IN
T
HI
S
AR
EA
2 D
*P75690A0224*
, Question 1 continued
AR
EA
TH
IS
IN
W
RI
TE
T
N
O
D
O
AR
EA
TH
IS
IN
W
RI
TE
T
N
O
D
O
*P75690A0324* 3
Turn over
