AQA GCSE STATISTICS Higher Tier RATING Paper 2 MAY 2023

AQA GCSE STATISTICS Higher Tier Paper 2 MAY 2023 PRACTICE PAPER H Practice paper Time allowed: 1 hour 45 minutes Materials For this paper you must have: • a calculator • mathematical instruments • the AQA data book for this paper Instructions • Use black ink or black ball-point pen. Draw diagrams in pencil. • Fill in the boxes at the top of the page. • Answer all questions. • You must answer the questions in the spaces provided. • Do not write outside the box around each page or on blank pages. • Do all rough work in this book. Cross through any work you do not want to be marked. Information • The marks for questions are shown in brackets. • The maximum mark for this paper is 80. • You may ask for more answer paper and graph paper. These must be tagged securely to this answer book. Answer all questions in the spaces provided. Do not write outside the box 1 Marion is the fashion designer for a major high street clothes retailer. She wants to contact a random sample of the retailer’s stores throughout the UK to find out how the latest range of her clothes is selling. What is the population for her survey? Tick one box. [1 mark] All the stores she samples All the clothes in the stores The number of stores she samples All the retailer’s stores 2 The price of a block of butter in 2015 was half the price it was in 2017. Taking 2015 as the base year, what is the index number for the price of butter in 2017? Circle your answer. [1 mark] 0.5 50 150 200 3 A normal distribution has mean 100 and standard deviation 15. Circle the letter of the diagram that shows this distribution. [1 mark] Do not write outside the box 4 Which type of data can be displayed as a bar line graph? Circle your answer. [1 mark] Continuous Discrete Qualitative Bivariate Turn over for the next question 5 A company makes rocking horses. The company records how many rocking horses it sells each month. The table summarises the monthly sales for the last 36 months. Do not write outside the box Lower quartile 3.5 Median 6 Upper quartile 9 Maximum value 12 Range 11 Show this information as a box plot. [4 marks] 6 Lara is thinking of opening a coffee shop in a village high street. In order to apply for a loan, she carries out some research to find out how likely people in the area might be to use the coffee shop. She designs a questionnaire and distributes it to all houses in the village. 6 (a) Lara uses a closed question to ask people their age. Do not write outside the box Explain why this is a sensible way to gather information about people’s age. [1 mark] 6 (b) One of the questions she includes on the questionnaire is: ‘How often will you use the coffee shop?’ Why does the wording of the question make the responses hard to analyse? [1 mark] 6 (c) What could Lara have done to check that her questionnaire would be effective before distributing it to the whole village? [1 mark] 7 The table shows median annual earnings (£) for full-time employees in the UK between 2012 and 2015. 2011 2012 2013 2014 2015 United Kingdom 26 095 26 472 27 011 27 215 27 615 England 26 488 26 822 27 372 27 485 27 841 North East 23 250 23 781 24 113 24 904 25 347 North West 24 167 24 603 25 111 25 262 25 667 Yorkshire and The Humber 24 119 24 288 24 933 24 999 25 194 East Midlands 24 002 24 626 24 918 25 000 25 003 West Midlands 24 291 24 573 25 328 24 963 25 682 East 25 953 26 145 26 514 26 817 27 300 London 34 396 34 883 35 173 35 034 35 303 South East 27 881 28 175 28 315 28 607 29 031 South West 24 306 24 581 25 242 25 585 25 950 Wales 23 397 23 617 24 103 24 453 24 869 Scotland 25 291 25 780 26 489 27 038 27 687 Northern Ireland 23 034 23 944 23 952 24 491 25 719 [Source: Annual Survey of Hours and Earnings, 2016, Office for National Statistics] 7 (a) Find the difference between median annual earnings in Wales and London in 2015. [1 mark] Do not write outside the box Answer 7 (b) Compare how median annual earnings in Northern Ireland have changed over this period with median annual earnings for the UK as a whole. Do not write outside the box [3 marks] Question 7 continues on the next page 7 (c) The bar chart shows average house prices (£000s) in 2015 in different regions of the UK. [Source: House Price Index, UK, August 2015, Office for National Statistics] Michael says that houses in the East Midlands are more affordable than those in Scotland. Use the data in the bar graph and the data in the table to comment on this conclusion. [2 marks] Do not write outside the box There are no questions printed on this page DO NOT WRITE ON THIS PAGE ANSWER IN THE SPACES PROVIDED Do not write outside the box 8 80 children attend a music summer school. Each child takes part in one activity. Each child can choose to take part in rock band or orchestra or wind band. The table shows the number of children choosing some of the activities. Activity Total Rock band Orchestra Wind band Number of boys 15 9 30 Number of girls 50 Total 30 80 8 (a) There were twice the number of girls choosing wind band as there were boys choosing wind band. Do not write outside the box Complete the table. [3 marks] 8 (b) One of the 80 children is selected at random. G is the event ‘The selected pupil is a girl’ B is the event ‘The selected pupil is a boy’ W is the event ‘The selected pupil takes part in wind band’ R is the event ‘The selected pupil takes part in rock band’ 8 (b)(i) Find P(B and W). [1 mark] Do not write outside the box 8 (b)(ii) Find P(R | G). [2 marks] 8 (b)(iii) Are boys and girls equally likely to choose to play in the rock band? Tick one box. Give a reason for your answer. [2 marks] 9 Jenny is a wildlife officer. She plans a survey of a wildlife area, looking for slow-worms (a type of lizard). She takes a plan of a wildlife area and divides the area into 81 squares. She draws this choropleth map to show how many slow-worms she finds in each square. Do not write outside the box