Pearson Edexcel Level 3
GCE Mathematics
Advanced
Paper 2: Statistics and Mechanics
Friday 26th April 2019 Paper Reference(s)
Time: 2 hours 9MA0/02B for 13D
You must have:
Mathematical Formulae and Statistical Tables, calculator
Candidates may use any calculator allowed by the regulations of the
Joint Council for Qualifications. 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.
• 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
• A booklet ‘Mathematical Formulae and Statistical Tables’ is provided.
• There are 10 questions. The total mark for this part of the examination is 100.
• 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.
• Try to answer every question.
• Check your answers if you have time at the end.
, SECTION A: STATISTICS
Answer ALL questions.
1. The daily mean air temperatures from the large data set, x°C, for the month of June 2015 in
Jacksonville are summarised in the table below.
Daily mean air
22 ≤ x 24 ≤ x 25 ≤ x 26 ≤ x 27 ≤ x 28 ≤ x
temperature
¿ 24 ¿ 25 ¿ 26 ¿ 27 ¿ 28 ¿ 32
(°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.
(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 ) . 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
GCE Mathematics
Advanced
Paper 2: Statistics and Mechanics
Friday 26th April 2019 Paper Reference(s)
Time: 2 hours 9MA0/02B for 13D
You must have:
Mathematical Formulae and Statistical Tables, calculator
Candidates may use any calculator allowed by the regulations of the
Joint Council for Qualifications. 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.
• 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
• A booklet ‘Mathematical Formulae and Statistical Tables’ is provided.
• There are 10 questions. The total mark for this part of the examination is 100.
• 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.
• Try to answer every question.
• Check your answers if you have time at the end.
, SECTION A: STATISTICS
Answer ALL questions.
1. The daily mean air temperatures from the large data set, x°C, for the month of June 2015 in
Jacksonville are summarised in the table below.
Daily mean air
22 ≤ x 24 ≤ x 25 ≤ x 26 ≤ x 27 ≤ x 28 ≤ x
temperature
¿ 24 ¿ 25 ¿ 26 ¿ 27 ¿ 28 ¿ 32
(°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.
(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 ) . 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
