STATISTICS Foundation Tier Paper 1

STATISTICS Foundation Tier Paper 1 Monday 12 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 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. *JUN23 3 21F01* IB/G/Jun23/E11 8382/1F Answer all questions in the spaces provided. Do not write outside the box 1 Here is a fair spinner. It is spun once. What is the probability that it lands on a 1? Circle your answer. [1 mark] 2 Here are some data. warm warm hot cold cold warm hot hot warm cold hot warm 2 (a) Circle the word that best describes this type of data. [1 mark] quantitative continuous discrete qualitative 2 (b) Which of these diagrams would not be suitable to represent these data? Circle your answer. [1 mark] 3 A, B, C and D are scatter diagrams. Which diagram shows positive correlation? Circle your answer. [1 mark] Do not write outside the box Turn over for the next question Turn over ► 4 (b) The table shows her results. Do not write outside the box Number of hairstyling products used each day 0 1 2 3 4 Frequency 7 12 6 5 2 4 (b) (i) Write down the mode for the number of hairstyling products used each day. [1 mark] Answer 4 (b) (ii) What fraction of the class used more than 1 hairstyling product each day? [2 marks] Answer Turn over for the next question Do not write outside the box Turn over ► 5 Pria owns a café. She wants to begin offering soup at lunchtime. Pria collects information about her customers’ favourite soup. The table shows her results. Do not write outside the box Favourite soup Number of customers Vegetable 12 Chicken 18 Tomato 20 Mushroom 8 Other 3 5 (a) Write down two conclusions from Pria’s results. [2 marks] Conclusion 1 Conclusion 2 5 (c) Pria wants to know how often her customers eat soup for lunch. She produces this questionnaire. Do not write outside the box 5 (c) (i) Write down one problem with the question. [1 mark] 5 (c) (ii) Write down two problems with the response section. [2 marks] 1 2 *07* Question 5 continues on the next page Turn over ► Pria designs a more suitable questionnaire. She gives it to the first 25 customers who enter her café for lunch one day. 5 (d) (i) Name this sampling method. [1 mark] Answer 5 (d) (ii) Give one advantage of this sampling method. [1 mark] 5 (d) (iii) Give one disadvantage of this sampling method. [1 mark] *0* Do not write outside the box 6 (a) His hypothesis is, “Will more people subscribe to my channel?” Question 6 continues on the next page Do not write outside the box Turn over ► These data show the number of new subscribers to Nik’s channel for the first 14 days after the prize draw was set up. Do not write outside the box 170 400 1300 600 2400 1300 1300 3800 2400 4100 4100 3500 18 800 4300 6 (b) Nik’s friend says, “On average, the daily number of new subscribers during the 14 days is more than 3000” Nik comments, “It depends on which average you use.” Is Nik correct? You must show your working. [4 marks] Question 6 continues on the next page Do not write outside the box Turn over ► Do not write outside the box Turn over for the next question Do not write outside the box Turn over ► There are no questions printed on this page DO NOT WRITE ON THIS PAGE ANSWER IN THE SPACES PROVIDED Do not write outside the box 7 A travel company produced this graph to use in an advert. Average cost of a cruise 7 (a) (i) Give a reason why this graph is misleading. [1 mark] 7 (a) (ii) On the grid below, draw a graph that, • shows the same information • is not misleading. [2 marks] Average cost of a cruise Turn over ► Do not write outside the box 7 (b) The table shows the number of each type of holiday the travel company sold last week. Do not write outside the box Holiday type Ski Cruise Beach Adventure Frequency 5 34 34 17 7 (b) (i) Draw a fully labelled pie chart to illustrate the data in the table. [4 marks]