PEARSON EDEXCEL LEVEL 3 GCE 9FM0/4B FURTHER MATHEMATICS
ADVANCED PAPER 4B: FURTHER STATISTICS 2+ MARK SCHEME JUNE
2025
surname names
Number Number
Further Mathematics
🟐 🟐
Advanced
PAPER 4B: Further Statistics 2
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.
• Fill
If pencil is used for diagrams/sketches/graphs it must be dark (HB or B).
in the boxes at the top of this page with your name,
• Answer
centre number and candidate number.
all questions and ensure that your answers to parts of questions are
• Answer
clearly labelled.
the questions in the spaces provided
• You
– there may be more space than you need.
should show sufficient working to make your methods clear.
• Values
Answers without working may not gain full credit.
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.
•• AThere
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 each as
question
to how are
muchshown
timeintobrackets
spend on each question.
• Read each question carefully before you start to answer it.
Advice
•• Try to answer every question.
Check your answers if you have time at the end. ©
P75690A
2
0
2
5
P
,earson Education Ltd.
Y:1/1/1/
Turn over
,
, 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
■■■■
ADVANCED PAPER 4B: FURTHER STATISTICS 2+ MARK SCHEME JUNE
2025
surname names
Number Number
Further Mathematics
🟐 🟐
Advanced
PAPER 4B: Further Statistics 2
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.
• Fill
If pencil is used for diagrams/sketches/graphs it must be dark (HB or B).
in the boxes at the top of this page with your name,
• Answer
centre number and candidate number.
all questions and ensure that your answers to parts of questions are
• Answer
clearly labelled.
the questions in the spaces provided
• You
– there may be more space than you need.
should show sufficient working to make your methods clear.
• Values
Answers without working may not gain full credit.
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.
•• AThere
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 each as
question
to how are
muchshown
timeintobrackets
spend on each question.
• Read each question carefully before you start to answer it.
Advice
•• Try to answer every question.
Check your answers if you have time at the end. ©
P75690A
2
0
2
5
P
,earson Education Ltd.
Y:1/1/1/
Turn over
,
, 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
■■■■
