A-LEVEL AQA GCSE STATISTICS Higher Tier :Paper 2 QUESTION PAPER + MARK SCHEME [MERGED] 8382/2H JUNE 2023

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 box2 The 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 box4 The table shows information about births in the UK in 2010 and 2019. 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 box5 An app allows students to complete work set by their teacher. 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]