GCSE STATS Higher Paper2

GCSE STATS Higher Paper2

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Surname Other Names Leave blank
Centre Number Candidate Number
Candidate Signature
General Certificate of Secondary Education
June 2003
STATISTICS 3311/H
Higher Tier
Friday 20 June 2003 9.00 am to 11.30 am H
In addition to this paper you will require: For Examiner's Use
· a calculator
Pages Mark
· mathematical instruments.
4­5
6­7
Time allowed: 2 hours 30 minutes
8­9
10 ­ 11
Instructions
· Use blue or black ink or ball-point pen. Draw diagrams in pencil. 12 ­ 13
· Fill in the boxes at the top of this page.
14 ­ 15
· Answer all questions in the spaces provided.
· Do all rough work in this booklet. 16 ­ 17
Information 18 ­ 19
· The maximum mark for this paper is 120. 20 ­ 21
· Mark allocations are shown in brackets.
· Additional answer paper and graph paper will be issued on request and 22 ­ 23
must be tagged securely to this answer booklet.
24 ­ 25
· You are expected to use a calculator where appropriate.
26 ­ 27
Advice
· In all calculations, show clearly how you work out your answer. TOTAL
Examiner's Initials
Copyright © 2003 AQA and its licensors. All rights reserved.
APW/03/3311/H

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Page 2

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You may need to use the following formulae:
Mean of a frequency distribution
fx
= ­­­­­­
f
Mean of a grouped frequency distribution
fx
= ­­­­­­ , where x is the mid-interval value.
f
­ is given by
Standard deviation for a set of numbers x1, x2 , ...…read more

Page 3

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LEAVE
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Answer all questions in the spaces provided.
1 Expectation of life is the further number of years which a person of a certain age and
gender may expect to live.
The table gives this information for United Kingdom residents in the years 1931 and 1991.
The table, adapted from 'Social Trends' (2002), is not reproduced
here due to third-party copyright constraints.…read more

Page 4

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(c) (i) Comment on the life expectancy in 1931 of children at birth and at 1 year old.
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(1 mark)
(ii) Give a possible reason for this.
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.......................................................................................................................................…read more

Page 5

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2 In May 2001 an estate agent sold nine, three-bedroomed houses.
The sale prices in pounds were:
59 200 65 000 52 000
129 500 52 000 62 500
54 500 57 900 56 000
(a) Write down the mode of these prices.
Answer £ ............................................................... (1 mark)
(b) (i) Calculate the mean of these prices.
.......................................................................................................................................
.......................................................................................................................................
Answer £ ............................................................... (2 marks)
(ii) Give a disadvantage in using the mean to represent these prices.
.......................................................................................................................................
.......................................................................................................................................…read more

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(d) The estate agent receives 400 enquiries for a particular house.
He decides to take a simple random sample of 10% of this group to find out how
many have a house to sell.
(i) Describe how this sampling method could be carried out.
.......................................................................................................................................
.......................................................................................................................................
.......................................................................................................................................
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(3 marks)
(ii) Give two reasons why he should not base his sample on the first 40 people who
rang his office to enquire about the house on Monday morning after 10 am.…read more

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3 A travel agent kept a record of the destinations of those customers who travelled abroad
in 1998.
This information is illustrated in the pie chart below. Angles shown are given to the
nearest degree.
France
Spain
60° 100°
Greece 50°
35° 45° Other
countries
Yugo-
slavia Italy
(a) Calculate the percentage of these customers who travelled to Yugoslavia.
.................................................................................................................................................
.................................................................................................................................................
.................................................................................................................................................
Answer .................................................................... % (2 marks)
(b) 468 of their customers travelled abroad.…read more

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(c) The following year the travel agent reported that 825 people went abroad.
The radius of the pie chart for 1998 is 4 cm.
Calculate the radius of the comparative pie chart for 1999.
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Answer .................................................................…read more

Page 9

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4 The table gives the number of pairs of shoes sold by size and width fitting by a local shop.…read more

Page 10

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LEAVE
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TURN OVER FOR THE NEXT QUESTION
7
Turn over
APW/03/3311/H…read more

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