AQAGCSE STATISTICS 8382/2H Higher Tier Paper 2 Version: 1.0 Final *JUN2383822H01* IB/G/Jun23/E10 8382/2H QUESTION PAPER & MARKING SCHEME/ [MERGED] Marl( scheme June 2023

AQA GCSE STATISTICS 8382/2H Higher Tier Paper 2 Version: 1.0 Final *JUN2383822H01* IB/G/Jun23/E10 8382/2H For Examiner’s Use Question Mark 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 TOTAL I declare this is my own work. Monday 19 June 2023 Afternoon 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 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 2 H 2 *02* IB/G/Jun23/8382/2H Do not write outside the box 1 Tirunesh asks 50 people which of the following instruments they play, • piano (P) • violin (V) • trombone (T). The results are shown in the diagram. Tirunesh chooses one person at random. 1 (a) Circle the probability that this person plays the piano. [1 mark] 10 50 22 50 23 50 14 50 1 (b) Circle the value of P(V | T). [1 mark] 1 6 5 9 7 18 5 11 Answer all questions in the spaces provided. 2 3 *03* Turn over ► IB/G/Jun23/8382/2H Do not write outside the 2 The box cumulative frequency step polygon represents the number of tickets bought by 18 customers one morning. Circle the number of customers who bought 3 tickets. [1 mark] 5 7 8 15 3 Tony is investigating students’ scores in statistics exams. He says that it depends on the following factors, • time spent studying • score in maths exams. Circle the term that best describes the type of data Tony uses. [1 mark] bivariate multivariate qualitative categorical 1 1 4 *04* IB/G/Jun23/8382/2H Do not write outside the 4 The table shows information about births in the UK in 2010 and 2019. box Year Number of births Total population 000 Birth rate 10.7 Source: ONS 4 (a) Complete the table by finding the birth rate in 2010. Use the formula birth rate = number of births total population × 1000 [2 marks] 4 (b) The birth rate in Iceland in 2019 was 12.5 Jack concludes, “Iceland had a higher number of births than the UK in 2019 because it had a higher birth rate.” Comment on Jack’s conclusion. [1 mark] 3 5 *05* Turn over ► IB/G/Jun23/8382/2H Do not write outside the 5 An app allows students to complete work set by their teacher. box Mr Roper wants to test the effectiveness of the app in an experiment. He tells his class of 30 students that they have a test next week. To revise, he gives the app to half of the class, whilst the other half just use their books. Mr Roper ensures that there are the same numbers of boys and girls in each group. 5 (a) Name one other consideration for Mr Roper when grouping the students. [1 mark] 5 (b) The test scores for the app group are shown in the stem-and-leaf diagram. 5 (b) (i) Work out the median score. [1 mark] Answer % 5 (b) (ii) Show that the interquartile range is 20% [2 marks] 6 *06* IB/G/Jun23/8382/2H Do not write outside the 5 box (c) The percentage scores of the 15 students who were in the book group are, Use these results to complete the back-to-back stem-and-leaf diagram that shows both sets of results on the same diagram. Remember to complete the key and the labels for the diagram. [4 marks] 7 *07* Turn over ► IB/G/Jun23/8382/2H Do not write outside the box 5 (d) Using your stem-and-leaf diagram and the values from part (b), compare statistically the scores in the test for those who revised using the app and those who used their books. [5 marks] 5 (e) Give one criticism of the experiment set up by Mr Roper. [1 mark] Turn over for the next question 14 8 *08* IB/G/Jun23/8382/2H Do not write outside the 6 Frieda, Piran and Elliot are investigating the most popular box type of ice cream or ice lolly of the 1200 students at their school. They want to take a sample of 60 students. They each suggest a sampling method to collect the data. Frieda’s method Ask the first 60 students who arrive at school. Piran’s method Number each student on the register from 1 to 1200 Use a random number generator to find a starting point between 1 and 20 Choose to ask every 20th student after the starting point. Elliot’s method For each year group, put all the names of the students in a hat. Pick 5% of the names out for each yea