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The activities use real vehicle emissions data to explore boxplots, reductions in NOX emissions, outliers via the IQR rule, and comparisons between diesel and petrol distributions. Further tasks link to Desmos graphing, hypothesis formulation, scatter diagrams, interpretation of correlation and regression, and discussion of causation versus correlation, culminating in ideas such as normal fits and estimating population parameters from sample statistics.",{"@graph":69,"@context":122},[70,84,105],{"@type":71,"itemListElement":72},"BreadcrumbList",[73,77,79,82],{"item":74,"name":75,"@type":76,"position":8},"https://docshare.wps.com","Home","ListItem",{"item":78,"name":9,"@type":76,"position":14},"https://docshare.wps.com/document/",{"item":80,"name":20,"@type":76,"position":81},"https://docshare.wps.com/document/exam/",3,{"item":83,"name":65,"@type":76,"position":19},"https://docshare.wps.com/document/a-level-maths-getting-real-with-statistics-activity/619144/",{"url":83,"name":65,"@type":85,"image":86,"author":91,"headline":65,"publisher":94,"fileFormat":97,"inLanguage":63,"description":67,"dateModified":98,"datePublished":99,"encodingFormat":97,"isAccessibleForFree":100,"interactionStatistic":101},"DigitalDocument",{"url":87,"@type":88,"width":89,"height":90},"https://docshare.wps.com/thumbnails/a-level-maths-getting-real-with-statistics-activity/619144.png","ImageObject",300,407,{"name":92,"@type":93},"Lucas Martin","Person",{"url":74,"name":95,"@type":96},"DocShare","Organization","application/vnd.openxmlformats-officedocument.presentationml.presentation","2026-11-02","2026-10-20",true,{"@type":102,"interactionType":103,"userInteractionCount":34},"InteractionCounter",{"@type":104},"ViewAction",{"@type":106,"mainEntity":107},"FAQPage",[108,114,118],{"name":109,"@type":110,"acceptedAnswer":111},"What is the LDS used for in these activities?","Question",{"text":112,"@type":113},"The LDS is used to select samples, explore real data, and generate graphing outputs. It supports sampling and graphing workflows that can be used in the classroom.","Answer",{"name":115,"@type":110,"acceptedAnswer":116},"How do learners identify outliers from boxplots in the materials?",{"text":117,"@type":113},"Outliers are defined as values more than 1.5 times the IQR below Q1 or above Q3. Learners apply this rule to determine whether each sample contains outliers.",{"name":119,"@type":110,"acceptedAnswer":120},"What comparisons and statistical interpretations are students asked to make?",{"text":121,"@type":113},"Students compare distributions of NOX emissions for diesel versus petrol, discuss assumptions needed to support claims, and use median and quartiles. They also construct scatter diagrams and interpret correlation and regression results.","https://schema.org",{"og:url":83,"og:type":124,"og:title":65,"og:site_name":95,"og:description":67},"article",{"robots":126,"canonical":83},"index,follow",{"doc_id":128,"site_id":62},619144,1792525868,{"code":4,"msg":5,"data":131},{"doc_id":128,"user_id":132,"nickname":92,"user_avatar":133,"doc_module":4,"category_id":19,"category_name":20,"doc_title":65,"doc_description":67,"doc_content":134,"file_id":135,"file_url":136,"file_type":137,"file_size":138,"view_count":34,"is_deleted":4,"is_public":8,"is_downloadable":8,"audit_status":8,"page_count":139,"language":140,"language_code":63,"site_id":62,"html_lang":63,"table_of_contents":141,"faqs":142,"seo_title":143,"seo_description":67,"update_tm":144,"read_time":145,"preview_page_count":4},8796095360427,"https://ap-avatar.wpscdn.com/davatar_994ba38a5ba835b3df7d355c54d3ed8d","Activity\n© 2023 AQA and its licensors. All rights reserved.\nOn your table you will find some questions based on data from the LDS.\nPlease read the questions and discuss your answers.\n1\nNOX emissions for diesel cars registered in NW in 2002 (above) and in 2016 (below)\n© 2023 AQA and its licensors. All rights reserved.\n2\nUsing information from the boxplots find an appropriate value for the percentage reduction in NOX emissions between 2002 and 2016.\nRose claims that these graphs show there was a very large reduction in the NOX emissions of cars in the UK.\nWhat assumptions would Rose have to make to support her claim, based on these graphs?\nAn outlier is defined as a value more than 1.5 times the IQR below Q1 or above Q3\nDetermine whether either of the samples represented in these boxplots contains any outliers.\nNOX emissions for cars registered in NW in 2016 – diesel (above) and petrol (below)\n© 2023 AQA and its licensors. All rights reserved.\n3\nCompare the distributions of NOX emissions for diesel and petrol cars.\nJulian claims that, based on this evidence, petrol engines are much better for the environment than diesel engines. He says that the proposed ban on diesel engines is justified.\nWhat assumptions must Julian make, based on this evidence, to support his claim?\nThis meeting will be recorded\nExam boards have an Ofqual requirement to record event audio.\nRecordings are kept for the lifetime of the specification and not shared as an accompaniment to session resources.\nThe recording will begin now.\n© 2023 AQA and its licensors. All rights reserved.\n4\nA-level Maths:Getting real with statistics\nDan Rogan\nMathsConf 31\nMarch 2023\nWelcome\n© 2023 AQA and its licensors. All rights reserved.\n6\nWhat will we do today?\n© 2023 AQA and its licensors. All rights reserved.\nUse the enhanced LDS with built in sampling and graphing tools.\nSee how easy it is to pick up data and paste it into Desmos to draw graphs you can use in the classroom.\nShare ideas about how to use the LDS to help teach statistics.\nConsider exam questions and the material advantage.\n7\nWhere did the LDS come from?\n© 2023 AQA and its licensors. All rights reserved.\nWhilst looking for a replacement for the Family Food LDS, I wondered whether I could get vehicle emissions data from the DfT.\nThey offered me their stock vehicle database, which contains over 30 million vehicles.\nI chose some restrictions and got down to 1.5 million vehicles.\nI then introduced further restrictions to reduce it to a manageable size.\nYou don’t want a really large data set!\n8\nGetting to know the LDS\n© 2023 AQA and its licensors. All rights reserved.\nUse a straightforward worksheet to explore the data in the LDS.\nThe worksheet (in your booklet) takes about an hour to work through and makes a good intro to the LDS.\nThe LDS tool and LDS worksheets are on AQA All About Maths.\n9\nSampling from the LDS\n© 2023 AQA and its licensors. All rights reserved.\nYou can select simple random samples by choosing criteria from the fields in the large data set.\nThis allows you to compare data from two different groups.\nThe LDS tool is designed to be easy to use so you can present real data in the classroom.\n10\nHow can you use this in the classroom?\n© 2023 AQA and its licensors. All rights reserved.\n11\nSelect a small sample, say of size 10, and ask students to use their calculators to find the mean and standard deviation.\nAsk students to identify the positions of outliers using a sample you have selected.\nCompare two distributions using median and quartiles.\nQ11 P2 AS Maths 2022\n© 2023 AQA and its licensors. All rights reserved.\n12\nGraphs in Desmos\n© 2023 AQA and its licensors. All rights reserved.\n13\nFormulating hypotheses\n© 2023 AQA and its licensors. All rights reserved.\n14\nFormulating hypotheses – try it\n© 2023 AQA and its licensors. All rights reserved.\n15\nCan you improve these?\nCars are less polluting than they used to be.\nDiesels have higher emissions than petrol cars.\nToyotas have more variable emissions than BMW","cbCaitmR1yR065rG","https://ap.wps.com/l/cbCaitmR1yR065rG","pptx",3467913,27,"English","# Welcome\n## What will we do today?\n# Where did the LDS come from?\n## Getting to know the LDS\n## Sampling from the LDS\n# How can you use this in the classroom?\n## Graphs in Desmos\n## Formulating hypotheses\n# Bivariate data with the LDS tool\n## Using a scatter diagram\n# Causation or correlation\n# Hypothesis testing for PMCC\n# More ideas\n## Any questions?","[{\"question\":\"What is the LDS used for in these activities?\",\"answer\":\"The LDS is used to select samples, explore real data, and generate graphing outputs. It supports sampling and graphing workflows that can be used in the classroom.\"},{\"question\":\"How do learners identify outliers from boxplots in the materials?\",\"answer\":\"Outliers are defined as values more than 1.5 times the IQR below Q1 or above Q3. Learners apply this rule to determine whether each sample contains outliers.\"},{\"question\":\"What comparisons and statistical interpretations are students asked to make?\",\"answer\":\"Students compare distributions of NOX emissions for diesel versus petrol, discuss assumptions needed to support claims, and use median and quartiles. They also construct scatter diagrams and interpret correlation and regression results.\"}]","A-level Maths - Getting real with statistics - Activity | PPTX",1792462552,68]