AQA GCSE STATISTICS Foundation Tier Paper 1 MAY 2023

GCSE STATISTICS Foundation Tier Paper 1 Practice paper Time allowed: 1 hour 45 minutes Materials Instructions • Use black ink or black ball-point pen. Draw diagrams in pencil. • Fill in the boxes at the top of th ...

GCSE STATISTICS Foundation Tier Paper 1 Practice paper Time allowed: 1 hour 45 minutes Materials Instructions • Use black ink or black ball-point pen. Draw diagrams in pencil. • Fill in the boxes at the top of the 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. • Do all rough work in this book. Cross through any work you do not want to be marked. Information • The marks for 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 book. For this paper you must have: • a calculator • mathematical instruments. PRACTICE PAPER Please write clearly, in block capitals. Centre number Candidate number Surname Forename(s) Candidate signature F Version 1.0 2 Do not write outside the Answer box all questions in the spaces provided. 1 Sam sends 10 texts. 6 of them are to his brother. What is the relative frequency of the number of texts to his brother? Circle your answer. [1 mark] 0.4 0.6 4 6 2 A company makes rocking horses. The number of rocking horses sold between 2010 and 2017 is shown in the table. Year Number of rocking horses sold 2010 33 2011 39 2012 32 2013 44 2014 46 2015 46 2016 50 2017 50 Work out the range of the number of rocking horses sold. Circle your answer. [1 mark] 7 17 18 45 8382/1F 3 Do not write outside the 3 The Venn diagram below shows information about 500 students who study at a college. box In the diagram F represents the students who study full-time A represents the students who study agriculture. How many students study agriculture full-time? Circle your answer. [1 mark] 47 132 179 434 4 Which of these is not a possible solution to a poor response rate to a postal questionnaire? Tick one box. [1 mark] Offer a pre-paid envelope in which to return questionnaires Send twice as many questionnaires out Let recipients know that returned questionnaires will be entered into a prize draw Offer to collect the questionnaires by hand Practice paper Version 1.0 Turn over  4 Do not write outside the 5 Zak lives near an open-air venue where events are often held. box He records whether it is quiet (Q), noisy (N) or very noisy (V) over 13 Saturdays in June, July and August. The results are V Q V N Q N N V V V N Q N 5 (a) Complete the table below to summarise the data, giving the second and third columns a suitable heading. [4 marks] Noise level Q N V 5 (b) Give one advantage of your table over the raw data. [1 mark] 8382/1F 5 Do not write outside the 5 (c) Zak had to work all day from home on one of these Saturdays. box What is the probability that it was quiet (Q)? [2 marks] Answer Question 5 continues on the next page Practice paper Version 1.0 Turn over  6 Do not write outside the 5 box (d) The pie chart below shows the same information for 14 Saturdays in November, December and January. 5 (d)(i) Calculate the number of these 14 Saturdays that were quiet (Q). [3 marks] Answer 8382/1F 7 Do not write outside the 5 (d)(ii)Give one possible reason for the big differences in the two sets of data. box [1 mark] Turn over for the next question Practice paper Version 1.0 Turn over  8 Do not write outside the 6 A bus should arrive at the bus station at 9 am. box Olive records the number of minutes early or late it is over a period of several weeks. (Early is shown by negative numbers and late is shown by positive numbers.) The results for the first 10 days are 3 –1 0 2 5 0 –2 39 2 2 6 (a) What is the mean time of arrival for the bus over these 10 days? [3 marks] Answer am 6 (b) Why is the mean not a very good measure of average with these data? [1 m