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Statistics GCSE GCSE CCEA GCSE Specimen Assessment Materials for Statistics For first teaching from September 2017 For first assessment in Summer 2018 For first award in Summer 2019 Subject Code: 2260 Foreword CCEA has developed new specifications which comply with criteria for GCSE qualifications. The specimen assessment materials accompanying new specifications are provided to give centres guidance on the structure and character of the planned assessments in advance of the first assessment. It is intended that the specimen assessment materials contained in this booklet will help teachers and students to understand, as fully as possible, the markers’ expectations of candidates’ responses to the types of tasks and questions set at GCSE level. These specimen assessment materials should be used in conjunction with CCEA’s GCSE Statistics specification. GCSE Statistics Specimen Assessment Materials Contents Specimen Papers 3 Unit 1: Foundation Tier 3 Unit 1: Higher Tier 27 Unit 2: Foundation Tier 51 Unit 2: Higher Tier 73 Pre-Release Materials 95 Mark Schemes 165 General Marking Instructions 167 Unit 1: Foundation Tier 169 Unit 1: Higher Tier 177 Unit 2: Foundation Tier 185 Unit 2: Higher Tier 191 Subject Code 2260 QAN 603/1384/5 A CCEA Publication © 2017 You may download further copies of this publication from www.ccea.org.uk SPECIMEN PAPERS Centre Number Candidate Number General Certificate of Secondary Education 2018 Statistics Unit 1 Foundation Tier [CODE] SPECIMEN PAPER TIME 1 hour 30 minutes. For Examiner’s INSTRUCTIONS TO CANDIDATES use only Write your Centre Number and Candidate Number in the spaces Question Marks provided at the top of this page. Number Write your answers in the spaces provided in the question paper. 1 Answer all twelve questions. 2 Any working should be clearly shown in the spaces provided as marks may be awarded for partially correct solutions. 3 You may use a calculator for this paper. 4 5 INFORMATION FOR CANDIDATES 6 The total mark for this paper is 80. 7 Figures in brackets printed down the right-hand side of pages indicate 8 the marks awarded to each question or part question. 9 You should have a calculator, ruler, compass and protractor. There is no formula sheet for this examination. 10 11 12 Total Marks 3 Answer all questions Examiner Only Marks Re-mark 1 A market researcher wants to find out how many times each week customers visit a particular supermarket. He plans to use a questionnaire to interview customers entering the supermarket. A sample question from the questionnaire is ‛How many times per week do you visit this supermarket?’ 0 1 2-3 5-6 6-8 (a) Give two reasons why this is not a suitable question. Reason 1 Reason 2 [2] (b) What type of data is the market researcher collecting? Tick the correct box. Give a reason for your answer. Primary Secondary Reason [1] (c) The market researcher is using convenience sampling. Explain what is meant by convenience sampling. [1] 4 2 At the Wimbledon tennis tournament all of the men’s tennis matches have Examiner Only three, four or five sets. Marks Re-mark The partly completed table below shows the number of sets in matches in the first three rounds in 2016. Round 1 Round 2 Round 3 Total 3-set matches 4-set matches 17 8 36 5-set matches 16 1 21 Total 64 31 16 111 © Wimbledon Event Statistics http://wimbledon.com/en_GB/scores/extrastats/index.html (a) Complete the missing values in the table. [3] (b) A tennis match from the first three rounds is chosen at random. Find the probability that it is: (i) a 4 set match; Answer _____________________ [1] (ii) a Round 3 match with more than 3 sets. Answer _____________________ [1] 5 3 A television channel shows four types of programmes: Comedy (C), Sport Examiner Only (S), Drama (D) and Nature (N). Marks Re-mark The bar chart represents the percentage of time the television channel showed the different types of programmes. 100% C 90% C 80% 70% S 60% S 50% 40% D Percentage of Time 30% D 20% N 10% N 0% Monday Tuesday Wednesday Day of Week (a) What type of programme was shown for the largest percentage of time on Monday? Answer _____________________________ [1] (b) Complete the table below to show the percentage of time each type of programme was shown on Tuesday. Type of programme Percentage of time Comedy Sport Drama Nature [2] On Wednesday, Nature programmes were shown for 15% of the time and Drama programmes were shown for 25% of the time. Comedy and Sport programmes were both shown for the same percentage of time. (c) Complete the bar chart to show the percentage of time each programme was shown on Wednesday. [2] 6 (d) The television channel showed programmes for the same length of Examiner Only time every day. Marks Re-mark Here are two statements about the TV programmes shown. Tick the box for each statement to show if it is true or false. Give reasons for your answers. Statement 1: Wednesday was the day on which sport was shown for the least amount of time. True False [1] Reason [1] Statement 2: On each day, comedy programmes were shown for less time than any of the other types of programmes. True False [1] Reason [1] 7 4 UK adults were asked how often they used the internet in the last Examiner Only 3 months. Marks Re-mark The graph below shows some of the results for the years 2006 – 2016. © Crown copyright Office for National Statistics licensed under the Open Government Licence .3.0.v (a) Using the graph, make two statements about trends in internet use during the period 2006 – 2016. Statement 1 [1] Statement 2 [1] 8 (b) In 2016 it is estimated that there are 65 million people living in the Examiner Only UK. Marks Re-mark Shona says: The graph in part (a) must be wrong as the values for 2016 do not add up to 65 million. Is Shona’s statement correct? Tick a box. Yes No [1] Give a reason for your answer Reason [1] (c) Shona plans to research how often children use the internet. State one variable about which she might collect data. Answer [1] 9 5 A doctor is monitoring the spread of an infectious disease in a region. Examiner Only The doctor divided the region into squares and recorded the number of Marks Re-mark people who have caught the disease in the three weeks after the first case was recorded. He produced the diagram below to show the results. (a) (i) What is the name of this type of diagram? Circle the correct answer. Pictogram Population pyramid Choropleth map Boxplot [1] (ii) The key shows that the doctor has grouped the data into intervals. Why is it an advantage to group the data? [1] (iii) How many squares have 31-40 people who have caught the disease? Answer [1] 10 (b) One of the squares contains the first person to catch the disease. Examiner Only Suggest which square this might be. Marks Re-mark Row Number: Column letter: [1] Give a reason for your answer. Reason [1] 11 6 Jack asks the 20 students in his class to measure, to the nearest minute, Examiner Only how long it takes them to travel to school on a particular day. The Marks Re-mark responses were: 27 14 39 8 17 20 15 9 14 14 28 3 6 19 11 25 21 13 29 55 (a) Jack thinks that three of the students travelled to school together. Explain why he might think this from looking at the data. Reason [1] (b) Show the data in an ordered stem and leaf diagram. Rough Work Final Answer Key ….……. represents …… minutes [4] 12 Examiner Only (c) For these data Marks Re-mark (i) calculate the range [1] (ii) find the median [2] (d) Jack says that the data are negatively skewed. Is he correct? Explain your answer. Answer Reason [1] (e) The student who took 55 minutes to travel to school was delayed. Her usual journey time is 41 minutes. What effect will changing the time from 55 minutes to 41 minutes have on the mean and median travel times? Tick the correct options. (i) The median will Increase Decrease Stay the same [1] (ii) The mean will Increase Decrease Stay the same [1] 13 7 In the 2016 Olympic games, Italy won 28 medals: Examiner Only Marks Re-mark Gold Silver Gold Bronze Gold Silver Silver Bronze Silver Silver Silver Bronze Gold Bronze Gold Gold Bronze Gold Silver Silver Bronze Silver Bronze Gold Silver Silver Bronze Silver [Correct at 26/08/16] (a) Complete the columns in the tally chart: Medal colour Tally Frequency Gold Silver Bronze [3] (b) The pie chart represents the number of gold medals won by the top 5 countries in the 2016 Olympic games. (i) Which one of the statements can you decide is true by using the pie chart? Tick the correct one. Statement 1: The USA won approximately one-third of all of the gold medals available at the 2016 Olympic games. Statement 2: Great Britain & Northern Ireland won approximately the same number of gold medals as China. Statement 3: Russia won fewer medals than Germany. [1] 14 (ii) Explain why you cannot decide that the other two statements are Examiner Only true from the pie chart. Give one reason for each statement. Marks Re-mark Statement Reason [1] Statement Reason [1] (c) Scott thinks that it would be useful to draw a pie chart to show the number of gold medals won by each of the 206 countries competing in the 2016 Olympic games.
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