GCSE STATISTICS Foundation Tier RATING Paper 2 MAY 2023

GCSE STATISTICS Foundation Tier Paper 2 Practice paper Time allowed: 1 hour 45 minutes Materials Instructions • Use black ink or black ball-point pen. Draw diagrams in pencil. • Fill in the boxes at the top of th ...

GCSE STATISTICS Foundation Tier Paper 2 Practice paper Time allowed: 1 hour 45 minutes Materials 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. For this paper you must have: • a calculator • mathematical instruments. PRACTICE PAPER Please write clearly, in block capitals. Centre number Candidate number Surname Forename(s) Candidate signature F Version 1.0 2 Do not write outside the Answer box all questions in the spaces provided. 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. [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 Which two of these values cannot represent a probability? Circle your answers. [1 mark] –0.3 0.187 5 6 1.1 8382/2F 3 Do not write outside the 3 A population list of 1000 items is to be sampled. box Every 20th item in the list will be in the sample. 3 (a) What is the name of this sampling method? Circle your answer. [1 mark] Judgement Quota Random Systematic 3 (b) How many of the items will be in the sample? Circle your answer. [1 mark] 5 20 50 200 Turn over for the next question Practice paper Version 1.0 Turn over  4 Do not write outside the 4 box The table shows the reigns of the monarchs (kings and queens) of the House of Hanover. 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 8382/2F 5 Do not write outside the 4 box (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’. [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 Practice paper Version 1.0 Turn over  6 Do not write outside the 5 200 teenage girls are asked to choose their favoured method of communicating. box The percentage bar chart shows the results. 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 8382/2F 7 Do not write outside the 5 (c) 400 teenage boys were also asked about their favoured method of communicating. box The number for each method is in the table. Draw a percentage bar chart for the boys’ data using the scale below. [4 marks] Question 5 continues on the next page Method Number of boys Face to face 200 Phone call 100 Texting 50 Social media messaging 50 Practice paper Version 1.0 Turn over  8 Do not write outside the 5 box (d) Make two comments comparing teenage boys with teenage girls for their favoured method of communicating. [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] 8382/2F 9 Do not write outside the 6 Waylon drives to work on 225 days per year. box 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] 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 Practice paper Version 1.0 Turn over  10 Do not write outside the 6 (c) Waylon considers two methods to collect data he would need to test his hypothesis. box 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 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.