Centre Number Candidate Number For Examiner s Use Surname Other Names Candidate Signature Examiner s Initials Free-Standing Mathematics Qualification Advanced Subsidiary Examination June 2015 Data Analysis (Pilot) 9993 Unit 13 Question 1 2 3 4 TOTAL Mark Monday 11 May 2015 1.30 pm to 2.30 pm For this paper you must have: a clean copy of the Data Sheet (enclosed) the purple AQA booklet of formulae and statistical tables a calculator a ruler. Time allowed 1 hour Instructions Use black ink or black ball-point pen. Pencil should only be used for drawing. Fill in the es at the top of this page. Answer all questions. Write the question part reference (eg (a), (b)(i) etc) in the left-hand margin. You must answer each question in the space provided for that question. If you require extra space, use an AQA supplementary answer book; do not use the space provided for a different question. around each page. Show all necessary working; otherwise marks for method may be lost. Do all rough work in this book. Cross through any work that you do not want to be marked. The final answer to questions requiring the use of tables or calculators should be given to three significant figures, unless stated otherwise. You may not refer to the copy of the Data Sheet that was available prior to this examination. A clean copy is enclosed for your use. Information The marks for questions are shown in brackets. The maximum mark for this paper is 40. You may use either a scientific calculator or a graphics calculator. Advice You do not necessarily need to use all the space provided. (JUN15999301) P90329/Jun15/E3 9993
2 Section A Answer all questions. Answer each question in the space provided for that question. Use Graduate employment on pages 2 and 3 of the Data Sheet. 1 (a) Use Table 1 on the Data Sheet to calculate the percentage increase, correct to three significant figures, in the recent graduate population from Q4 2001 to Q4 2011. (b) (i) Calculate the number of recent graduates that were employed in Q4 2011. (ii) How many of these recent graduates were in a higher skill level of occupation? [2 marks] Answer space for question 1 (02)
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4 Section B Answer all questions. Answer each question in the space provided for that question. Use House prices on page 4 of the Data Sheet. 2 (a) Use the figures on the Data Sheet to calculate the mean and the standard deviation of the actual selling prices of the seven semi-detached houses in Middlesbrough in 2013. (b) The mean and the standard deviation of the actual selling prices of a small sample of terraced houses, sold in Middlesbrough in 2013, were 68 000 and 9450 respectively. Compare the actual selling prices of the seven semi-detached houses with the actual selling prices of the small sample of terraced houses. [2 marks] (c) (d) Compare the trends of the house prices for London and for the North East from 2007 to 2012. [2 marks] Use the given average UK house price and the given annual percentage change in house prices in June 2013 to calculate the average house price in the UK in June 2012. Answer space for question 2 (04)
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6 Section C Answer all questions. Answer each question in the space provided for that question. Use 2012 Olympic basketball players on page 5 of the Data Sheet. 3 The grid opposite shows the plots of the ages of teams A and B. (a) (i) (ii) Draw a plot of the ages of team C on the grid. Compare the median ages of the three teams. [1 mark] (iii) Compare how the ages are skewed for each team. [1 mark] (b) (i) Calculate the equation of the regression line of weight on height for team A. [2 marks] (ii) Interpret the value of the gradient of this regression line in context. [2 marks] (c) Calculate the correlation coefficient between the weights and heights of team A. [1 mark] (d) The correlation coefficients between weights and heights for teams B and C are 0.98 and 0.79 respectively. Compare and contrast the correlation between weights and heights for these two teams. [2 marks] (06)
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10 Section D Answer all questions. Answer each question in the space provided for that question. Use High blood pressure on page 6 of the Data Sheet. 4 (a) For those taking antihypertensive drugs, calculate the percentage who have a diastolic blood pressure reading of 90 mmhg or more. [4 marks] (b) For those taking no medication: (i) 40% have a diastolic blood pressure higher than 83 mmhg; calculate the standard deviation; (ii) calculate the percentage with a diastolic blood pressure greater than 90 mmhg. Answer space for question 4 (10)
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