Section A 1 Answer all questions. Answer each question in the space provided for that question. Use 90 and Over on page 2 of the Data Sheet. (i) Calculate the percentage increase in the number of people aged 90 and over living in the UK from 1985 to 2015. (ii) Calculate the percentage increase in the number of people per 100 000 population aged 90 and over living in the UK from 1985 to 2015. (iii)give the advantages and disadvantages in using each measure. [ 4 marks] The percentage increase in the number of people aged 90 and over living in the UK from 2000 to 2015 was 65%. Calculate the number of people aged 90 and over living in the UK in 2000. (c) (d) The percentage increase in the number of people per 100 000 population aged 90 and over living in the UK from 1990 to 2000 was 52% and from 2000 to 2010 was 26%. Calculate the percentage increase in the number of people per 100 000 population aged 90 and over living in the UK from 1990 to 2010. Calculate the percentage increase in the total population of the UK from 1985 to 2015. QUESTION PART REFERENCE Answer space for question 1 1
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Section B Answer all questions. Answer each question in the space provided for that question. Use Wait Times at Airports on page 2 of the Data Sheet. 2 The wait times for eight passengers at O Hare Airport were: 10 58 73 21 17 52 91 14 The wait times for eight passengers at Midway Airport were: 27 38 52 55 48 53 37 42 Calculate the standard deviation of the wait times at each airport. Compare the performance of the two airports. QUESTION PART REFERENCE Answer space for question 2 3
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Section C 3 Answer all questions. Answer each question in the space provided for that question. Use Gender Pay Gaps on page 3 of the Data Sheet. In which jobs do females earn more than males? The mean hourly pay for males in Construction & building trades supervisors is 16.30. Calculate the mean hourly pay for females in Construction & building trades supervisors. The mean hourly wages for eight jobs for males and females is given in the table below: Job Males Females Construction 16.30 8.97 Financial 35.80 22.91 Printers 13.42 8.72 Assemblers 15.30 10.10 Medical 38.85 27.20 Marketing 36.87 30.60 Psychologists 21.80 23.76 Physiotherapists 16.12 18.70 (i) Calculate the equation of the regression line for the mean hourly wage for males (x) and the mean hourly wage for females (y). (ii) Interpret the value of the gradient of the regression line in context. (iii) Use your regression equation line to predict the mean hourly wage for women in a job where the mean hourly wage for men is 21.80. (iv) Use your regression equation line to predict the mean hourly wage for men in a job where the mean hourly wage for women is 36.80. (v) Comment on the reliability of these predictions, which is more reliable? 5
(vi) Find the correlation coefficient for the mean hourly wage for males (x) and the mean hourly wage for females (y). Describe the relationship between the mean hourly wage for males (x) and the mean hourly wage for females (y). QUESTION PART REFERENCE Answer space for question 3 6
4 Section D Answer all questions. Answer each question in the space provided for that question. Use Cats on page 4 of the Data Sheet. The mean and standard deviation of male British Shorthair Cats are 7.6kg and 1.2kg respectively. The mean and standard deviation of female British Shorthair Cats are 6.1kg and 0.7kg respectively. Calculate the percentage of male British Shorthair Cats who would have a weight of less than 8.2kg. Calculate the percentage of male British Shorthair Cats who would have a weight of more than 9g. Calculate the percentage of male British Shorthair Cats who would have a weight between 5kg and 10kg. 7
(iv ) A male British Shorthair Cat is considered to be large if its weight is in the top 20%. What is the heaviest that a male British Shorthair Cat could be and still be considered normal? (v) Find the lower quartile of weights of British Shorthair Cats. QUESTION PART REFERENCE Answer space for question 4 8
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