2024_AQA-GCSE Statistics – Foundation Tier Paper 1 (Merged Question Paper and Marking Scheme) Wednesday 5 June 2024

2024_AQA-GCSE Statistics – Foundation Tier Paper 1 (Merged Question Paper and Marking Scheme) Wednesday 5 June 2024 Wednesday 5 June 2024 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. For Examiner’s Use Question Mark 1–4 5 6 7 8 9 10 11 12 13 TOTAL GCSE Statistics: Foundation Tier Paper 1 Summary The GCSE Statistics Foundation Tier Paper 1, scheduled for June 2025, will assess students' understanding of fundamental statistical concepts and their ability to apply them to real-world data. This paper is designed to test a range of basic statistical techniques, focusing on data collection, presentation, and interpretation, as well as an introduction to probability. Key Areas Covered: 1. Data Collection  Understanding Data: o Recognizing the difference between qualitative and quantitative data. o Identifying discrete and continuous data.  Sampling Methods: o Recognizing different sampling techniques such as random sampling, stratified sampling, and systematic sampling. o Understanding the importance of using representative samples and the potential impact of biased sampling.  Survey Design: o Designing simple surveys and questionnaires to collect data effectively. 2. Data Presentation  Tables and Charts: o Organizing data in frequency tables and using bar charts for categorical data. o Understanding and creating pie charts to represent proportional data. o Drawing pictograms and bar graphs, and understanding when each is appropriate for data presentation.  Histograms: o Creating and interpreting histograms to represent continuous data, including understanding how data is grouped into intervals.  Cumulative Frequency: o Constructing cumulative frequency tables and using them to create cumulative frequency graphs. o Interpreting cumulative frequency graphs to identify the median, quartiles, and range. 3. Measures of Central Tendency and Spread  Central Tendency: o Calculating the mean, median, and mode for different data sets, and knowing when to use each measure based on the nature of the data.  Measures of Spread: o Understanding and calculating the range of a dataset. o Introduction to the concept of interquartile range (IQR) as a measure of spread. 4. Probability  Basic Probability: o Understanding basic probability concepts and calculating simple probabilities, such as the likelihood of events occurring. o Using probability notation (e.g., P(A) for the probability of event A). o Calculating the probability of a single event and the probability of multiple events happening (independent and dependent events).  Probabilities of Events: o Using probability scale from 0 to 1 to represent the likelihood of events. o Understanding and calculating the probability of complementary events (e.g., the probability of not A).  Venn Diagrams: o Interpreting and using Venn diagrams to solve problems involving probability, including union and intersection of events. 5. Statistical Diagrams and Interpretation  Bar Charts and Line Graphs: o Drawing and interpreting bar charts and line graphs. o Understanding the importance of labeling axes and ensuring the scale is consistent.  Scatter Diagrams: o Creating scatter diagrams and interpreting the relationship between two variables. o Identifying the type of correlation (positive, negative, or none).  Box Plots: o Introduction to box plots for representing the distribution of data and understanding key features like the median, quartiles, and outliers. 6. Understanding of Data Distribution  Normal Distribution: o Recognizing the bell-shaped curve of the normal distribution and understanding how it can be used in real-world contexts.  Skewed Data: o Understanding the concept of skewed data, where the data distribution is not symmetrical, and how it affects measures of central tendency. *JUN2483821F01* IB/G/Jun24/G4004/E10 8382/1F 2 Answer all questions in the spaces provided. 1 Work out the range of these values. 3 6 6 6 8 9 11 15 Circle your answer below. [1 mark] 6 7 8 12 2 Circle the percentage that cannot be a probability. [1 mark] 0.01% 110% 10% 100% 3 Which of these is not a source of data? Circle your answer. [1 mark] Observation Simulation Census Stratification 4 Spearman’s rank correlation coefficients are calculated for four data sets. Which of these values represents a weak, negative correlation? Circle your answer. [1 mark] –1 0.02 –0.9 –0.4 Do not write outside the box 4 *02* IB/G/Jun24/8382/1F 3 5 There are 12 discs in a box. Colour Blue Red Green White Number of discs 2 3 3 4 A disc is picked at random from the box. 5 (a)Which two colours have the same probability of being picked? [1 mark] Answer and 5 (b)On the probability scale below, draw an arrow to mark the probability that the disc is blue. [1 mark] 5 (c)On the probability scale below, draw an arrow to mark the probability that the disc is pink. [1 mark] 5 (d)A different box contains discs that are 5 different colours. Kim says, “There are 5 different colours in the box. The probability of picking each colour must be 15 ” Give a reason why she may not be correct. [1 mark] Do not write outside the box 4 Turn over ► *03* IB/G/Jun24/8382/1F 4 6 Ben records the numbers of cars and lorries passing his house for the same hour each day for one week in June. Number of Number of cars lorries Monday 5 17 Tuesday 8 12 Wednesday 12 17 Thursday 10 16 Friday 7 16 Saturday 23 8 Sunday 19 10 6 (a)Write down the number of cars Ben records on Friday. [1 mark] Answer 6 (b)Write down the day Ben records 5 more lorries than cars. [1 mark] Answer 6 (c)How many cars and lorries did Ben record, in total, on Saturday and Sunday? [2 marks] Answer Do not write outside the box *04* IB/G/Jun24/8382/1F 5 6 (d)Work out the fraction of the vehicles he records on Tuesday that are cars. [2 marks] Answer 6 (e)Compare the number of cars recorded that Monday with those recorded that Saturday. [1 mark] Question 6 continues on the next page Do not write outside the box Turn over ► *05* IB/G/Jun24/8382/1F 6 Here is the table again. cars Number of Number of lorries Monday 5 17 Tuesday 8 12 Wednesday 12 17 Thursday 10 16 Friday 7 16 Saturday 23 8 Sunday 19 The composite bar chart represents the first five days for Ben’s data. 10 *06* IB/G/Jun24/8382/1F Do not write outside the box 7 6 (f) Complete the composite bar chart, including the key. [5 marks] 6 (g) Ben says, “My data tell me how many cars will be using the road