Please check the examination details below before entering your candidate information
Candidate surname Other names
Centre Number Candidate Number
Pearson Edexcel
Level 3 GCE
Mock Paper Set 1
Paper Reference 9MA0-31
Mathematics
Advanced
Paper 31: Statistics
You must have: Total Marks
Mathematical Formulae and Statistical Tables, calculator
Candidates may use any calculator allowed 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).
• centre
Fill in the boxes at the top of this page with your name,
number and candidate number.
• are clearlyalllabelled.
Answer questions and ensure that your answers to parts of questions
• 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.
• Answers should be given to three significant figures unless otherwise stated.
Information
•• AThebooklet ‘Mathematical Formulae and Statistical Tables’ is provided.
total mark for this part of the examination is 50. There are 5 questions.
• – usemarks
The for each question are shown in brackets
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.
Try to answer every question.
• Check your answers if you have time at the end. Turn over
*S63437A0120*
S63437A
©2019 Pearson Education Ltd.
1/1/1/
, Answer ALL questions. Write your answers in the spaces provided.
1. The daily mean air temperatures from the large data set, x °C, for the month of June 2015
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in Jacksonville are summarised in the table below.
Daily mean air
22 x < 24 24 x < 25 25 x < 26 26 x < 27 27 x < 28 28 x < 32
temperature (°C)
Frequency 2 5 7 4 6 6
(a) Use your calculator to estimate the mean and the standard deviation of the daily mean
air temperatures from the large data set, for the month of June 2015 in Jacksonville.
Give each of your answers to 3 significant figures.
(2)
The mean and standard deviation for the daily mean air temperatures from the large data
set for Perth in June 2015 are 14.8 °C and 2.37 °C respectively.
The minimum daily mean air temperature in Perth in June 2015 was 8.8 °C and the
maximum daily mean air temperature was 18.5 °C
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(b) Using limits for outliers of
mean − 3 × standard deviation
mean + 3 × standard deviation
show that there are no outliers in the data for Perth in June 2015.
(2)
(c) (i) Assuming each location is typical of the hemisphere it is in, suggest what
these means and standard deviations imply about the relative daily mean air
temperature in June 2015 in each hemisphere.
Give reasons for your answers.
(2)
(ii) Comment on the validity of the assumption in (i)
(1)
Amy models the daily mean air temperature in summer in Jacksonville by N(27, 2.12)
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A survey found that the typical British person says that 29 °C or above is ‘too hot’.
A random sample of 30 summer days in Jacksonville is taken.
(d) Use Amy’s model to predict the number of these days when the mean air temperature
would be considered ‘too hot’ for a typical British person visiting Jacksonville.
(2)
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2
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*S63437A0320* Turn over
Candidate surname Other names
Centre Number Candidate Number
Pearson Edexcel
Level 3 GCE
Mock Paper Set 1
Paper Reference 9MA0-31
Mathematics
Advanced
Paper 31: Statistics
You must have: Total Marks
Mathematical Formulae and Statistical Tables, calculator
Candidates may use any calculator allowed 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).
• centre
Fill in the boxes at the top of this page with your name,
number and candidate number.
• are clearlyalllabelled.
Answer questions and ensure that your answers to parts of questions
• 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.
• Answers should be given to three significant figures unless otherwise stated.
Information
•• AThebooklet ‘Mathematical Formulae and Statistical Tables’ is provided.
total mark for this part of the examination is 50. There are 5 questions.
• – usemarks
The for each question are shown in brackets
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.
Try to answer every question.
• Check your answers if you have time at the end. Turn over
*S63437A0120*
S63437A
©2019 Pearson Education Ltd.
1/1/1/
, Answer ALL questions. Write your answers in the spaces provided.
1. The daily mean air temperatures from the large data set, x °C, for the month of June 2015
DO NOT WRITE IN THIS AREA
in Jacksonville are summarised in the table below.
Daily mean air
22 x < 24 24 x < 25 25 x < 26 26 x < 27 27 x < 28 28 x < 32
temperature (°C)
Frequency 2 5 7 4 6 6
(a) Use your calculator to estimate the mean and the standard deviation of the daily mean
air temperatures from the large data set, for the month of June 2015 in Jacksonville.
Give each of your answers to 3 significant figures.
(2)
The mean and standard deviation for the daily mean air temperatures from the large data
set for Perth in June 2015 are 14.8 °C and 2.37 °C respectively.
The minimum daily mean air temperature in Perth in June 2015 was 8.8 °C and the
maximum daily mean air temperature was 18.5 °C
DO NOT WRITE IN THIS AREA
(b) Using limits for outliers of
mean − 3 × standard deviation
mean + 3 × standard deviation
show that there are no outliers in the data for Perth in June 2015.
(2)
(c) (i) Assuming each location is typical of the hemisphere it is in, suggest what
these means and standard deviations imply about the relative daily mean air
temperature in June 2015 in each hemisphere.
Give reasons for your answers.
(2)
(ii) Comment on the validity of the assumption in (i)
(1)
Amy models the daily mean air temperature in summer in Jacksonville by N(27, 2.12)
DO NOT WRITE IN THIS AREA
A survey found that the typical British person says that 29 °C or above is ‘too hot’.
A random sample of 30 summer days in Jacksonville is taken.
(d) Use Amy’s model to predict the number of these days when the mean air temperature
would be considered ‘too hot’ for a typical British person visiting Jacksonville.
(2)
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
2
*S63437A0220*
, Question 1 continued
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