UNIVERSITY OF CAMBRIDGE INTERNATIONAL EXAMINATIONS … Levels/Statistics (4040)/4040_w10_qp... · UNIVERSITY OF CAMBRIDGE INTERNATIONAL EXAMINATIONS General Certificate of Education
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UNIVERSITY OF CAMBRIDGE INTERNATIONAL EXAMINATIONSGeneral Certificate of Education Ordinary Level
*4796824050*
STATISTICS 4040/13
Paper 1 October/November 2010
2 hours 15 minutes
Candidates answer on the question paper.
Additional Materials: Mathematical tables Pair of compasses Protractor
READ THESE INSTRUCTIONS FIRST
Write your Centre number, candidate number and name on all the work you hand in.Write in dark blue or black pen.You may use a soft pencil for any diagrams or graphs.Do not use staples, paper clips, highlighters, glue or correction fluid.DO NOT WRITE IN ANY BARCODES.
Answer all questions in Section A and not more than four questions from Section B.If working is needed for any question it must be shown below that question.The use of an electronic calculator is expected in this paper.
At the end of the examination, fasten all your work securely together.The number of marks is given in brackets [ ] at the end of each question or part question.
3 In a dancing competition, couples were judged on their performance in three dances. Each couple chose their dances from a list. Three of the dances on the list were the Foxtrot (F ), the Paso Doble (P ) and the Tango (T ). The following diagram gives information on the choices of the couples entered in the competition.
F P
7 6 5
8
4 3
2
T
In total, there were 50 couples entered in the competition.
(i) Write, in the appropriate place in the diagram, the number of couples who did not choose any of these three dances.
[2]
(ii) State what the value 6 in the diagram represents.
(ii) Calculate, to 1 decimal place, and stating the units, the crude death rate and the standardised death rate of the town.
Crude death rate = ......................................................
Standardised death rate = .................................................. [5]
It was subsequently discovered that the overall population of the region in which the town was situated was younger than had been thought, and that a more appropriate standard population for the three age groups would be 4000, 3000 and 1000 respectively.
(iii) Without carrying out any further calculations, state what effect using this new standard population would have on the crude death rate and on the standardised death rate of the town.
10 Zaheer only buys petrol when the tank of his car is almost empty, except that if he passes a garage selling cheap petrol he will buy some, however much is still in the tank.
Whenever he buys petrol he always fills the tank and records the details in his log book, and usually re-sets the trip recorder to 0.
The following table is an extract from Zaheer’s log book. The odometer records the total distance in km travelled by the car since its manufacture. The trip recorder records the distance in km travelled by the car since the trip recorder was last re-set to 0.
DateOdometer
reading (km)Trip recorder reading (km)
Petrol bought (litres)
July 5 16319 510 38.5
July 11 16824 505 39.5
July 15 17099 275 20.5
July 18 17584 485 37
July 22 17789 690 15
July 24 18084 295 23.5
July 25 18579 495 38.5
July 26 18799 220 18
(i) Estimate the capacity of the car’s petrol tank to the nearest 5 litres.
11 (a) Research organisations in the United Kingdom often divide the population into six categories, called social classes, denoted by A, B, C1, C2, D and E. The percentages of the population in the different social classes in the year 1987 are given in the following table.
Class A and B C1 C2 D and E
Percentage 13 21 38 28
(i) Draw and label a pie-chart of radius 4 cm to represent these percentages.
[4]
(ii) By the year 2001, the population of the U.K. was 7% larger than it had been in 1987. Calculate, to 2 decimal places, the radius of a corresponding pie chart representing the 2001 population.
(You are not required to draw this chart.)
........................................... cm [4]
(b) The following table gives, for each gender separately, the percentage of the U.K. population of working age in different occupational groups in the year 2002.
Males (%) Females (%)
Professional 8 3
Managerial and Technical 27 24
Skilled (non-manual) 11 31
Skilled (manual) 27 7
Partly skilled and Unskilled 17 21
Others 10 14
‘Others’ included those in the Armed Forces, those who did not state their current or last occupation, and those who had not worked in the previous eight years.
(i) Draw, on the grid below, fully-labelled percentage component bar charts for males and females to illustrate the data in the table.
Permission to reproduce items where third-party owned material protected by copyright is included has been sought and cleared where possible. Every reasonable effort has been made by the publisher (UCLES) to trace copyright holders, but if any items requiring clearance have unwittingly been included, the publisher will be pleased to make amends at the earliest possible opportunity.
University of Cambridge International Examinations is part of the Cambridge Assessment Group. Cambridge Assessment is the brand name of University of Cambridge Local Examinations Syndicate (UCLES), which is itself a department of the University of Cambridge.
(ii) Describe two differences between the occupations of males and females illustrated by the charts.