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
•• 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,
• clearly
centre number and candidate number.
Answer all questions and ensure that your answers to parts of questions are
• – there may
labelled.
Answer the questions in the spaces provided
• Answers without working
be more space than you need.
You should show sufficient working to make your methods clear.
• tables the value should be given
may not gain full credit.
Values from statistical tables should be quoted in full. If a calculator is used instead of
•Information
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.
The marks for each question are shown in brackets
– use this as a guide as to how much time to spend on each question.
Advice
•• Read each question carefully before you start to answer it.
• Check your answers if you have time at the end.
Try to answer every question.
Turn over
P75690A
©2025 Pearson Education Ltd.
Y:1/1/1/
*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
taken and the data are summarised by the following statistics
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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)
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)
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2
*P75690A0224*
, Question 1 continued
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3
*P75690A0324* Turn over
, Question 1 continued
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4
*P75690A0424*
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
•• 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,
• clearly
centre number and candidate number.
Answer all questions and ensure that your answers to parts of questions are
• – there may
labelled.
Answer the questions in the spaces provided
• Answers without working
be more space than you need.
You should show sufficient working to make your methods clear.
• tables the value should be given
may not gain full credit.
Values from statistical tables should be quoted in full. If a calculator is used instead of
•Information
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.
The marks for each question are shown in brackets
– use this as a guide as to how much time to spend on each question.
Advice
•• Read each question carefully before you start to answer it.
• Check your answers if you have time at the end.
Try to answer every question.
Turn over
P75690A
©2025 Pearson Education Ltd.
Y:1/1/1/
*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
taken and the data are summarised by the following statistics
DO NOT WRITE IN THIS AREA DO NOT WRITE IN THIS AREA 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)
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)
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2
*P75690A0224*
, Question 1 continued
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3
*P75690A0324* Turn over
, Question 1 continued
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4
*P75690A0424*
