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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…

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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 , ...…

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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…

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(c) (i) Comment on the life expectancy in 1931 of children at birth and at 1 year old.

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

.......................................................................................................................................
(1 mark)

(ii) Give a possible reason for this.

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

.......................................................................................................................................
(1 mark)




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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 £ ...............................................................…

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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 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-…

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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.

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

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

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

Answer ................................................................. cm (3 marks)




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


Width fitting

C D E F Total

5 3 5 3 2 13

Shoe 6 4 7 8 3 22
size
7 2 4 5 3…

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