AQA GCSE STATISTICS 8382/1H Higher Tier Paper 1 Version: 1.0 Final *JUN2383821H01* IB/G/Jun23/E13 8382/1H QUESTION PAPER & MARKING SCHEME/ [MERGED] Marl( scheme June 2023

AQA GCSE STATISTICS 8382/1H Higher Tier Paper 1 Version: 1.0 Final *JUN2383821H01* IB/G/Jun23/E13 8382/1H For Examiner’s Use Question Mark 1–4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 TOTAL I declare this is my own work. Monday 12 June 2023 Afternoon Time allowed: 1 hour 45 minutes Materials For this paper you must have: • a calculator • a copy of the Data Sheet • mathematical instruments. Instructions • Use black ink or black ball-point pen. Draw diagrams in pencil. • Fill in the boxes at the top of this 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. • If you need extra space for your answer(s), use the lined pages at the end of this book. Write the question number against your answer(s). • Do all rough work in this book. Cross out any work you do not want to be marked. Information • The marks for the 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 booklet. Please write clearly in block capitals. Centre number Candidate number Surname Forename(s) Candidate signature GCSE STATISTICS Higher Tier Paper 1 H 2 *02* IB/G/Jun23/8382/1H Do not write outside the box 1 Which term best describes data that are not numerical? Circle your answer. [1 mark] continuous discrete qualitative quantitative 2 Score What is the value of the median score shown in this box plot? Circle your answer. [1 mark] Answer all questions in the spaces provided. 3 *03* Turn over ► IB/G/Jun23/8382/1H Do not write outside the 3 Here are four distributions. box Which distribution shows negative skew? Circle your answer. [1 mark] A B C D 4 A and B are independent events. Circle the statement that is false. [1 mark] P(A | B) = P(A) P(A | not B) = P(not B) P(A and B) = P(A) × P(B) P(A and not B) = P(A) × P(not B) 4 4 *04* IB/G/Jun23/8382/1H Do not write outside the 5 Ryan shops for groceries every Tuesday and Saturday. box He only shops either online or in-store. The tree diagram shows some of the probabilities. If Ryan shops online on Tuesday, the probability he shops online on Saturday is 0.2 If Ryan shops in-store on Tuesday, the probability he shops online on Saturday is 0.4 5 (a) Complete the tree diagram to show the probabilities for Saturday. [2 marks] 5 (b) Work out the probability that Ryan will shop for groceries online at least once next week. [3 marks] Answer 5 5 *05* Turn over ► IB/G/Jun23/8382/1H Do not write outside the 6 Erika records the time, m box , in minutes, that it takes her to complete each piece of homework set during a term. Her results are represented in the diagram. By calculating an estimate of the mean, work out whether Erika takes, on average, between 30 and 40 minutes to complete each piece of homework. You may use the table below to help you. [5 marks] 5 6 *06* IB/G/Jun23/8382/1H Do not write outside the 7 Raj box is investigating rechargeable batteries. Battery capacity is a measure of how much power can be stored in a battery. Rechargeable batteries lose some of their capacity each time they are recharged. The scatter graph shows information for 10 different rechargeable batteries. 7 (a) The coordinates for the double mean point for these data are (a, 82.5) Work out the value of a. [2 marks] Answer 7 (b) Using your answer to part (a) draw a line of best fit on the scatter graph. [2 marks] 7 *07* Turn over ► IB/G/Jun23/8382/1H Do not write outside the 7 (c) Raj use box s the scatter graph to predict the percentage of original capacity remaining in a battery after it has been recharged 70 times. Will his prediction be accurate? Tick () a box. Yes No Cannot tell Give a reason for your answer. [2 marks] Turn over for the next question 6 8 *08* IB/G/Jun23/8382/1H Do not write outside the 8 Chris thinks that weeds are spreading on a football field. box He samples the number of weeds per square metre in different places on the field. He chooses 5 places along one side of the field. 8 (a) Write down two ways Chris could make his sample more representative. [2 marks] 1 2 8 (b) After collecting his first sample Chris treats the field to remove the weeds. The next day, he collects a second sample to see if the treatment has had an effect. Chris counts the weeds in several places, chosen at random. Write down one way Chris can improve how he