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Download Actual 2024 AQA GCSE STATISTICS 8382/1H Higher Tier Paper 1 Question Paper + Mark Scheme A and more Exams Business Statistics in PDF only on Docsity!
Actual 2024 AQA GCSE STATISTICS 8382/1H Higher Tier Paper 1 Question Paper + Mark Scheme AQA Please write clearly in block capitals. Centre number Candidate number Surname Forename(s) Candidate signature | declare this is my own work. GCSE STATISTICS Higher Tier Paper 1 Wednesday 5 June 2024 Afternoon Time allowed: 1 hour 45 minutes Materials rs For this paper you must have: ko nC * a calculator Question Mark « mathematical instruments. 14 Instructions 5 e Use black ink or black ball-point pen. Draw diagrams in pencil. 6 Fill in the boxes at the top of this page. 7 e Answer all questions. « You must answer the questions in the spaces provided. Do not write 8 outside the box around each page or on blank pages. 9 ¢ If you need extra space for your answer(s), use the lined pages at the end of 10 this book. Write the question number against your answer(s). 1 ¢ Do all rough work in this book. Cross out any work you do not want to be marked. 12 13 Information 14 e The marks for the questions are shown in brackets. rr ¢ The maximum mark for this paper is 80. « You may ask for more answer paper and graph paper. These must be 16 tagged securely to this answer booklet. 17 TOTAL I 0 000000 2 IB/G/Jun24/G4004/E9 8382/1H 1 Answer all questions in the spaces provided. 1 A biased six-sided dice is rolled 50 times. The results are shown below. Score Frequency 1 8 2 11 3 v4 4 10 5 9 6 5 Use these results to estimate the probability that the dice rolls a 6 Circle your answer. [1 mark] 1 5 5 45 6 6 50 50 2 A school uses this table to give students a score that represents their behaviour. Score Behaviour Description 1 Excellent 2 Good 3 Satisfactory 4 Unacceptable What type of data is the score? Circle your answer. [1 mark] Bivariate Ordinal Continuous Grouped MIN IB/G/Jun24/8382/1H Do not write outside the box 2 Do not write outside the 5 All Year 7 students in two schools take the same French test. box Sanjit wants to know if students in school A or school B score better. 5 (a) Write down a suitable hypothesis that Sanjit could use. [1 mark] 5 (b) Describe fully the population for Sanjit’s investigation. [1 mark] IMAI IB/G/Jun24/8382/1H 4 Do not write outside the 5 (c) Sanjit considers the following two methods for collecting scores from a sample of box 19 students in school A. Method A Ask the first 19 Year 7 students who arrive in the playground. Method B Give each student in Year 7 a unique number. Generate 19 different random numbers. Use the 19 students whose numbers match the ones generated. State the name of each method and give one advantage of that method. [4 marks] Method A Name Advantage Method B Name Advantage Question 5 continues on the next page Turn over > 05 IB/G/Jun24/8382/1H 5 Do not write itside the Sanjit draws this box plot to show the test scores for his sample of 19 students from obo school B. 0 5 10 15 20 25 30 35 40 45 Test score 5 (e) (i) Use the box plot to write down the median test score for school B. [1 mark] Answer 5 (e) (ii) Compare statistically the median scores for school A and school B. [1 mark] 5 (f) (i) Use the box plot to calculate the interquartile range for school B. [1 mark] Answer 5 (f) (ii) Compare statistically the interquartile ranges for school A and school B. [1 mark] 16 Turn over > IMM IB/G/Jun24/8382/1H 7 6 Alex asks a group of friends how many times they exercised last month. Here are the data. 1 1 1 2 3 3 5 7 14 Alex correctly calculates these three averages. Mode 1 Median 3 Mean 6.7 Alex wants to know the average that best represents these data. Comment on the suitability of each average. Mode 30 [3 marks] Median Mean IMA IB/G/Jun24/8382/1H Do not write outside the box 8 10 7 (a) Arandom number generator is programmed to only generate values of 1, 2,3, 4 and5 Numbers are generated in groups and recorded to see if the random number generator is fair. The table shows information about the number of 1s generated. Group Number of results generated (cumulative) Number of 1s recorded (cumulative) 10 20 30 40 50 60 70 80 O}/@IN|M)/alASwl!rN]s 90 = ° 100 Which group contained zero 1s? 7 (b) (i) Aalim says “We only need the first set of results because they show the random number Answer generator is fair.” Chloe says “It is better to use all the results to see if the random number generator is fair.” Give one reason why Chloe is correct. [1 mark] [1 mark] 10 IB/G/Jun24/8382/1H Do not write outside the box 10 11 Do not write outside the T (b) (ii) Use the table to decide if the random number generator is fair. box Tick (W) a box. Yes No Cannot tell Give a reason for your answer. [1 mark] 3 Turn over for the next question Turn over > INI IB/G/Jun24/8382/1H 11 13 8 (b) A photograph is chosen at random. 8 (b) (i) What is the probability that the photograph is not black-and-white and not landscape? 8 (b) (ii) Given that the photograph is black-and-white, what is the probability that it is not landscape? Answer [1 mark] [2 marks] Answer Turn over for the next question Do not write outside the box IM Turn over > IB/G/Jun24/8382/1H 13 14 Do not write outside the 9 A researcher is investigating the heights of children in their area. box They have access to the medical records of 1200 children. In the records, each child is categorised into one of four age groups, babies infants juniors seniors. 9 (a) Kim suggests they take a sample of 120 children by choosing 30 from each age group. Give one reason why choosing 30 from each group may not be appropriate. [1 mark] 9 (b) The researcher uses a different method to take a sample of 120 children. Some information about the heights of the children in the sample is shown in the table and histogram. Height, x (cm) Frequency 0 17 IB/G/Jun24/8382/1H 17 19 Do not write itside the 11 (a) (ii) Hence compare the percentages of the populations aged below 40 in Spain and in obo Turkey. [1 mark] 11 (b) —_Aiyla finds this information. Average life Country expectancy (years) Spain 83.5 Turkey ra er Write down one feature of the graph that supports this information. [1 mark] 5 Turn over for the next question Turn over > IB/G/Jun24/8382/1H 19 20 12 The table shows the population of England and Wales in 2017 and 2020. It also shows the birth rate in 2017. Y Population for Birth rate ear England and Wales (per 1000 population) 2017 58744600 11.6 2020 59719700 The number of births in 2020 was 9.6% lower than the number of births in 2017. Complete the table using the formula Birth rate (per 1000 population) = number of births population x 1000 Source: ONS [4 marks] Do not write outside the box 20 IB/G/Jun24/8382/1H 20 
