Edexcel GCSE Leader¢â‚¬â„¢s use Edexcel GCSE Statistics: Specimen Paper 1H (Higher) Edexcel Foundation GCSE

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  • Centre

    Number

    Paper Reference Surname Other Names

    Candidate

    Number

    Candidate Signature

    For

    Examiner’s use

    1389 For Team

    Leader’s use

    Edexcel GCSE

    Statistics

    Paper 1H

    HIGHER TIER

    Specimen Paper

    Time: 2 hours 30 minutes

    Materials required for the examination Items included with these question papers

    Ruler graduated in centimetres and

    millimetres, protractor, compass, pen,

    HB pencil, eraser, electronic calculator.

    Formulae sheet.

    Instructions to Candidates

    In the boxes above, write your centre number, candidate number, the paper reference, your surname and other

    names and your signature. The paper reference is shown above.

    Answer all questions in the spaces provided in this book.

    Supplementary answer sheets may be used.

    Information for Candidates

    The total mark for this paper is 100.

    The marks for the various parts of questions are shown in round brackets: e.g. (2).

    This question paper has 9 questions in Section A and 8 questions in Section B.

    Advice to Candidates

    Work steadily through the paper.

    Do not spend too long on one question.

    Show all stages in any calculations.

    If you cannot answer a question, leave it and attempt the next one.

    Return at the end to those you have left out.

    N0000

    © 2003 Edexcel – GCSE Statistics Specimen Paper 1H

    This publication may only be reproduced in accordance with Edexcel copyright policy.

    Edexcel Foundation is a registered charity.

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    2 Edexcel GCSE Statistics: Specimen Paper 1H (Higher)

    Edexcel Foundation

    GCSE Statistics

    Formulae Sheet

    Higher Tier

    Mean of a frequency distribution = �

    f

    fx .

    Mean of a grouped frequency

    distribution =

    f

    fx , where x is the mid-interval value.

    Variance = n

    xx� � 2)(

    Standard deviation (set of numbers) � � �

    � � �

    � � �

    �� 22

    n

    x

    n

    x

    or

    � �

    � � �

    � ��

    n

    xx 2)(

    where x is the mean of the set of values.

    Standard deviation (discrete frequency

    distribution) � �

    � �

    �� �

    � 22

    f

    fx

    f

    fx

    or �

    � � �

    � �

    f

    xxf 2)(

    Spearman’s Rank Correlation

    coefficient )1(

    6 1

    2

    2

    nn

    d

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    3

    Edexcel GCSE Statistics: Specimen Paper 1H (Higher) Turn over

    Write down your answers in the spaces provided.

    You must write down all stages in your working.

    Section A

    Answer ALL NINE questions.

    1. The sequences of numbers given below are taken from a random number table. It is to be

    used to simulate ten throws of an unbiased six-sided die.

    11 74 26 93 81 44 33 93 08 72 30 79 76 39

    Describe the rule you would use for selecting the numbers showing on the die.

    …………………………………………………………………………………………………

    (1)

    Use the above rule to fill in the table below.

    Throw 1 2 3 4 5 6 7 8 9 10

    Number showing on die

    (1)

    2. This pie chart shows the number of people who voted for one of three candidates in a recent

    election.

    Votes cast in election

    Candidate A

    Candidate B

    Candidate C

    Give one way in which this method of data representation is misleading.

    ………………………………………………………………………………………………....

    …………………………………………………………………………………………………

    (1)

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    4 Edexcel GCSE Statistics: Specimen Paper 1H (Higher)

    3. In a study into smoking a doctor selected a sample of adult patients from those registered

    with him and looked at their records to see to what degree they claimed to smoke.

    (a) What is the population being studied?

    …………………………………………………………………………………………….

    (1)

    (b) If the doctor wished to get the number of males and the number of females in proportion

    to the numbers on his register, what sampling method should he use?

    …………………………………………………………………………………………….

    (1)

    (c) The doctor’s information on smoking was obtained by asking the patients, at the time of

    setting up a database. Give two reasons why the figures obtained may be unreliable.

    …………………………………………………………………………………………….

    …………………………………………………………………………………………….

    (2)

    4. The nutritional information for two breakfast cereals is shown below.

    Weetabix per serving Shredded Wheat per serving

    Protein 4.2g 5.2g

    Carbohydrate 25.4g 30.4g

    Fat 1.0g 1.0g

    Fibre 3.9g 5.2g

    Marathon runners need a diet high in carbohydrate and protein, but low in fat.

    (a) Draw composite bar charts to display these data on the grid opposite.

    (2)

    (b) Which of the two breakfast cereals would you recommend a marathon runner to eat?

    Explain your answer.

    …………………………...………………………………………………………………..

    …………………………...………………………………………………………………..

    …………………………...………………………………………………………………..

    (2)

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    5

    Edexcel GCSE Statistics: Specimen Paper 1H (Higher) Turn over

    52.5

    50

    47.5

    45

    42.5

    40

    37.5

    35

    32.5

    30

    27.5

    25G ra

    m s

    22.5

    20

    17.5

    15

    12.5

    10

    7.5

    5

    2.5

    0

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    6 Edexcel GCSE Statistics: Specimen Paper 1H (Higher)

    5. The table shows the attitudes to the teaching of basic skills in State secondary schools in

    1987. This was just before the national curriculum was introduced.

    3.13 Attitudes to the teaching of basic skills in State

    secondary schools: by age, 1987

    Great Britain Percentages and numbers

    How well do you think state secondary schools nowadays teach

    young people basic skills, such as reading, writing and maths?

    Very

    well

    Quite

    well

    Not

    very

    well

    Not at

    all

    well

    Don’t

    know/

    not

    answered

    Weighted base

    (=100%)

    (Numbers)

    Age groups

    (years)

    18 – 24 19 59 14 8 0 174

    25 – 34 11 58 24 7 � 238

    35 – 44 12 47 31 9 1 252

    45 – 54 7 45 36 12 � 202

    55 – 64 7 37 41 15 1 181

    65 and

    over

    7 30 42 17 3 195

    All 10 46 31 11 1 1243

    Source: British Social Attitudes Survey, 1987.

    Social Community Planning and Research.

    Social Trends 20, 1990. Table 3.13

    (a) Write down the type of scale used for the horizontal measurements (Very well, quite well,

    etc ...)

    ………………………………

    (1)

    (b) Write down the number of people surveyed.

    .…………………………….

    (1)

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    7

    Edexcel GCSE Statistics: Specimen Paper 1H (Higher) Turn over

    The following statement is wrong:

    “19% of those who said ‘very well’ were 18 – 24 years old”

    (c) Write down a correct version of this statement.

    ..............................................................................................................................………...

    ..................................................................................................................................……... (1)

    (d) Describe briefly what the table shows about how attitudes to the teaching of basic skills

    in state secondary schools changes with age.

    .............................................................................................................................................

    ...............................................................................................................................………..

    .....................................................................................................................................……

    (1)

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    8 Edexcel GCSE Statistics: Specimen Paper 1H (Higher)

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