AQA GCSE STATISTICS Foundation Tier BEST RATING Paper 2 MAY 2023

AQA GCSE STATISTICS Foundation Tier Paper 2 MAY 2023 PRACTICE PAPER F Practice paper Time allowed: 1 hour 45 minutes Materials For this paper you must have: • a calculator • mathematical instruments. 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. State the population for her survey. Tick one box. All the stores she samples All the clothes in the stores The number of stores she samples All the retailer’s stores 2 Which two of these values cannot represent a probability? Circle your answers. [1 mark] [1 mark] –0.3 0.187 5 6 1.1 3 A population list of 1000 items is to be sampled. Every 20th item in the list will be in the sample. 3 (a) What is the name of this sampling method? Circle your answer. Judgement Quota Random Systematic 3 (b) How many of the items will be in the sample? Circle your answer. 5 20 50 200 Turn over for the next question [1 mark] [1 mark] Do not write outside the box 4 The table shows the reigns of the monarchs (kings and queens) of the House of Hanover. Do not write outside the box Monarch Years reigning George I 1714 – 1727 George II 1727 – 1760 George III 1760 – 1820 George IV 1820 – 1830 William IV 1830 – 1837 Victoria 1837 – 1901 4 (a) Who was the monarch in 1800? [1 mark] Answer 4 (b) Which monarch from the House of Hanover reigned for longest? Give how many years they reigned for. [2 marks] Answer for years 4 (c) Circle the type of correlation, if any, you would expect between ‘the number of years a monarch reigned’ and ‘the age at which the monarch died’. Do not write outside the box [1 mark] Negative correlation No correlation Positive correlation 4 (d) Sally must choose, at random, one of the monarchs in the House of Hanover to study for a history project. Sally says, “There are 5 kings and 1 queen in the House of Hanover. If I choose one year at random from 1714 – 1901 and choose the monarch reigning, the chance I will get Queen Victoria is 1 .” 6 Comment on Sally’s claim. [2 marks] Turn over for the next question 5 200 teenage girls are asked to choose their favoured method of communicating. The percentage bar chart shows the results. Do not write outside the box 5 (a) What percentage of girls chose a phone call? [1 mark] Answer 5 (b) How many of the 200 girls in the sample chose texting? [3 marks] Answer 5 (c) 400 teenage boys were also asked about their favoured method of communicating. The number for each method is in the table. Do not write outside the box Method Number of boys Face to face 200 Phone call 100 Texting 50 Social media messaging 50 Draw a percentage bar chart for the boys’ data using the scale below. [4 marks] Question 5 continues on the next page 5 (d) Make two comments comparing teenage boys with teenage girls for their favoured method of communicating. Do not write outside the box [2 marks] Comment 1: Comment 2: 5 (e) Are your comments in part (d) likely to be true when comparing the favoured methods of communication among retired males and retired females? Give a reason for your answer. [1 mark] 6 Waylon drives to work on 225 days per year. He believes it takes him longer to get to work on colder days. 6 (a) State Waylon’s belief as a hypothesis that could be tested. [1 mark] Do not write outside the box 6 (b) Name the independent variable and dependent variable in this context. [2 marks] Independent variable: Dependent variable: Question 6 continues on the next page 6 (c) Waylon considers two methods to collect data he would need to test his hypothesis. Method 1 collect data the next 10 times he remembers to do it Method 2 obtain a random sample of 10 days’ data in the next year Do not write outside the box 6 (c)(i) Name the sampling method described in Method 1. [1 mark] Answer 6 (c)(ii)Outline how he could carry out Method 2. [3 marks] 6 (c)(iii) Give one reason for choosing each method. [2 marks] Do not write outside the box Reason for choosing Method 1: Reason for choosing Method 2: Question 6 continues on the next page 6 (d) The data Waylon collected is given in the table. Do not write outside the box Temperature (oC) 3.8 4.1 6.0 7.2 9.5 12.7 14.0 16.2 18.5 20.0 Time taken (minutes) 27 31 26 25 24 27 23 21 21 22 Draw a scatter diagram for these data on the graph below. [3 marks] 6 (e) Waylon looks at the data and the scatter graph and concludes his hypothesis is wrong. Do not write outside the box Comment on Waylon’s conclusion. [2 marks] 6 (f)(i) Name two other variables that might affect Waylon’s journey time to work. [2 marks] Variable 1: Variable 2: 6 (f)(ii) Choose one of your variables from (f)(i) and state how you would control this variable so that it would not affect the outcome. [1 mark] 7 Barbara works for a charity that looks after and re-homes stray and abandoned dogs. She records how many weeks each dog remains with the charity before re-homing. The table shows a summary of the data for 2016. Time, t (weeks) Frequency 0 < t ⩽ 2 13 2 < t ⩽ 4 24 4 < t ⩽ 10 10 10 < t ⩽ 20 8 20 < t ⩽ 30 1 7 (a) Estimate the mean number of weeks a dog remains with the charity before it is re-homed. [4 marks] Do not write outside the box Answer weeks