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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)