[{"data":1,"prerenderedAt":-1},["ShallowReactive",2],{"doc-detail-208332-en":3,"doc-seo-208332-105":30,"detail-sidebar-cat-0-en-105":91},{"code":4,"msg":5,"data":6},0,"success",{"doc_id":7,"user_id":8,"nickname":9,"user_avatar":10,"doc_module":4,"category_id":11,"category_name":12,"doc_title":13,"doc_description":14,"doc_content":15,"file_id":16,"file_url":17,"file_type":18,"file_size":19,"view_count":20,"is_deleted":4,"is_public":20,"is_downloadable":20,"audit_status":20,"page_count":21,"language":22,"language_code":23,"site_id":24,"html_lang":23,"table_of_contents":25,"faqs":26,"seo_title":27,"seo_description":14,"update_tm":28,"read_time":29},208332,2336477405376,"Stanley","https://ap-avatar.wpscdn.com/davatar_29158cc5080c5b710cf443261637dec0",4,"Exam","GCSE Statistics - Revision Notes","Comprehensive GCSE Statistics revision notes covering key data representation and interpretation methods. Includes step-by-step guidance for frequency diagrams, bar charts, pictograms, pie charts, histograms and frequency polygons, plus use of frequency tables to compute mean, median, mode and range. Extends to grouped-data calculations, estimating modal group and median from cumulative frequency curves, and drawing scatter graphs with lines of best fit to assess correlation. Also addresses questionnaires, sampling methods, expected/relative/absolute and relative/percentage error concepts, data types, and probability using tree diagrams and event relationships.","[questionbase.50megs.com](questionbase.50megs.com) GCSE Revision Notes  \nGCSE STATISTICS  \nYou should know:  \n1) How to draw a frequency diagram:  \ne.g. NUMBER  TALLY  FREQUENCY  \n1 3  \n2 5  \n2) How to draw a bar chart, a pictogram, and a pie chart.  \n3) How to use averages:  \na) Mean-add up all the numbers and divide by how many there are.  \nb) Median -Put all the numbers in order and find the middle one. If there are two, then find the mean of them.  \nc) Mode-The number that appears most often (there can be more than one).  \n4) How to calculate the range:  \nThe difference between the biggest number and the smallest number.  \n5) How to use a frequency table to find averages:  \nNUMBER  TALLY  FREQUENCY NUMBER x FREQUENCY  \n1 3 3  \n2 5 10  \nTotal-8 Total-13  \nMEAN-13 divided by 8 gives 1.625  \nMEDIAN-working down the table gives 2 and 2, the mean of which is 2.  \nMODE-it is clear that 2 is the mode.  \nRANGE- ‘2-1 = 1’  \n6) How to use multiple bar charts and component bar charts.  \n7) How to use grouped data.  \n8) How to draw a histogram, and a frequency polygon (lines to join the middle of each bar together) .  \n9) How to calculate averages for grouped data:  \n[questionbase.50megs.com](questionbase.50megs.com) GCSE Revision Notes  \nGROUP  MID-POINT FREQUENCY  MID-POINT x FREQUENCY  \n> 0 \u003C= 50 25 6 150  \n> 50 \u003C= 100 75 8 600  \n> 100 \u003C= 150 125 11 1,375  \nTotal-25 Total-2125  \nMEAN-estimated at 2125 / 25 = 85  \nMODAL GROUP- ‘> 100 \u003C= 150’  \nMEDIAN-the number will be in the ‘> 50 \u003C= 100’ group. The median is the 13th number, and there are the 7th up to the 14th numbers in this group. There are  \n8 numbers, so the 13th number will be 7/8 into the group. It covers 50, so 7/8 of 50 = 43.75. This is the estimated median.  \n10) How to write out questionnaires.  \n11) That a sample can be used in a survey when you cannot ask everyone. It should be selected at random, for if groups of people are not included then it will be biased. The bigger a sample is, the better. If it is not possible to use random sampling, then systematic sampling should be used. This is when the names are in a list, and you choose, for instance, every 5th person on the list.  \n12) That the expected frequency is the amount of times you would expect something to happen, e.g. if you tossed a coin 100 times, you would expect 50 heads and 50 tails.  \n13) That the relative frequency is the relative number of times you would expect something to happen, e.g. you would expect a coin to show heads ½ of the time and tails ½ of the time when it is tossed. This is the probability of an event happening, and the sample space is the list of events that could happen (i.e. heads or tails) .  \n14) That the absolute error of a measurement is the maximum error that can be made, e.g. a measurement to the nearest millimetre has an absolute error of ½ a millimetre. The relative error is the absolute error divided by the measurement taken, and the percentage error is the relative error times 100.  \n15) That data can be either quantitative (when it is numbers) or qualitative (when it is something else, like a description) .  \n16) Quantitative data can be either discrete (when it is only certain numbers and can’tbe in between them) or continuous (when it can be absolutely any number and to any degree of accuracy, like a measurement for instance) .  \n17) That you must use the class boundaries of data to find the mid-point of each group.  \n18) That to estimate the mode with grouped data, you need to find the modal group on the histogram, and draw a line from the top left hand corner of the bar to the top left  \n[questionbase.50megs.com](questionbase.50megs.com) GCSE Revision Notes  \nhand corner of the bar on its right, and do the same for the top right hand corner and the bar on the left. You can then draw a line straight down to the x-axis, and take the reading as an estimate of the mode.  \n19) How to draw a cumulative frequency curve.  \n20) That to find the median on a cumulative frequency c","cbCaidruxKYnCkDc","https://ap.wps.com/l/cbCaidruxKYnCkDc","pdf",26867,1,7,"English","en",105,"# Frequency and Charts\n## Frequency tables and averages\n## Grouped data and histograms\n# Sampling and Questionnaires\n## Sampling methods\n# Error, Data Types, and Probability\n## Errors and data types\n## Probability and event relationships","[{\"question\":\"How do you calculate the mean, median, and mode for an ungrouped set of numbers?\",\"answer\":\"Mean is found by adding all values and dividing by the number of values. Median is the middle value once numbers are ordered (average the two middle values if there are two). Mode is the value that appears most often (there can be more than one).\"},{\"question\":\"What is the process for estimating the median and mode using grouped data and cumulative frequency curves?\",\"answer\":\"For grouped data, calculate the median by determining which group contains the middle position, then estimate using the fraction into that group. On a cumulative frequency curve, find the middle y-value, draw to the curve, then drop to the x-axis to read the median estimate. Mode for grouped data is estimated from the modal group on the histogram using the bar corner-to-x-axis reading approach described in the notes.\"},{\"question\":\"How are sampling and probability concepts handled in these revision notes?\",\"answer\":\"A sample should be selected at random when you cannot survey everyone to avoid bias, and the notes discuss when systematic sampling can be used. Expected frequency and relative frequency link to probabilities, while absolute, relative, and percentage error explain different ways to quantify measurement uncertainty. Probability is computed using the number of outcomes over total outcomes, with relationships like independent, dependent, and mutually exclusive events, plus tree diagrams.\"}]","GCSE Statistics - Revision Notes | PDF",1788603525,18,{"code":4,"msg":31,"data":32},"ok",{"site_id":24,"language":23,"slug":33,"title":13,"keywords":34,"description":14,"schema_data":35,"social_meta":86,"head_meta":88,"extra_data":90,"updated_unix":28},"gcse-statistics-revision-notes","",{"@graph":36,"@context":85},[37,53,68],{"@type":38,"itemListElement":39},"BreadcrumbList",[40,44,48,51],{"item":41,"name":42,"@type":43,"position":20},"https://docshare.wps.com","Home","ListItem",{"item":45,"name":46,"@type":43,"position":47},"https://docshare.wps.com/document/","Document",2,{"item":49,"name":12,"@type":43,"position":50},"https://docshare.wps.com/document/exam/",3,{"item":52,"name":13,"@type":43,"position":11},"https://docshare.wps.com/document/gcse-statistics-revision-notes/208332/",{"url":52,"name":13,"@type":54,"author":55,"headline":13,"publisher":57,"fileFormat":60,"inLanguage":23,"description":14,"dateModified":61,"datePublished":62,"encodingFormat":60,"isAccessibleForFree":63,"interactionStatistic":64},"DigitalDocument",{"name":9,"@type":56},"Person",{"url":41,"name":58,"@type":59},"DocShare","Organization","application/pdf","2026-09-06","2026-09-05",true,{"@type":65,"interactionType":66,"userInteractionCount":20},"InteractionCounter",{"@type":67},"ViewAction",{"@type":69,"mainEntity":70},"FAQPage",[71,77,81],{"name":72,"@type":73,"acceptedAnswer":74},"How do you calculate the mean, median, and mode for an ungrouped set of numbers?","Question",{"text":75,"@type":76},"Mean is found by adding all values and dividing by the number of values. Median is the middle value once numbers are ordered (average the two middle values if there are two). Mode is the value that appears most often (there can be more than one).","Answer",{"name":78,"@type":73,"acceptedAnswer":79},"What is the process for estimating the median and mode using grouped data and cumulative frequency curves?",{"text":80,"@type":76},"For grouped data, calculate the median by determining which group contains the middle position, then estimate using the fraction into that group. On a cumulative frequency curve, find the middle y-value, draw to the curve, then drop to the x-axis to read the median estimate. Mode for grouped data is estimated from the modal group on the histogram using the bar corner-to-x-axis reading approach described in the notes.",{"name":82,"@type":73,"acceptedAnswer":83},"How are sampling and probability concepts handled in these revision notes?",{"text":84,"@type":76},"A sample should be selected at random when you cannot survey everyone to avoid bias, and the notes discuss when systematic sampling can be used. Expected frequency and relative frequency link to probabilities, while absolute, relative, and percentage error explain different ways to quantify measurement uncertainty. Probability is computed using the number of outcomes over total outcomes, with relationships like independent, dependent, and mutually exclusive events, plus tree diagrams.","https://schema.org",{"og:url":52,"og:type":87,"og:title":13,"og:site_name":58,"og:description":14},"article",{"robots":89,"canonical":52},"index,follow",{"doc_id":7,"site_id":24},{"code":4,"msg":5,"data":92},[93,97,101,104,109,114,118,123,128,131,135],{"id":20,"doc_module":4,"doc_module_name":46,"category_name":94,"show_sort_weight":95,"slug":96},"Story & Novel",90,"story-novel",{"id":47,"doc_module":4,"doc_module_name":46,"category_name":98,"show_sort_weight":99,"slug":100},"Literature",80,"literature",{"id":11,"doc_module":4,"doc_module_name":46,"category_name":12,"show_sort_weight":102,"slug":103},70,"exam",{"id":105,"doc_module":4,"doc_module_name":46,"category_name":106,"show_sort_weight":107,"slug":108},5,"Comic",60,"comic",{"id":110,"doc_module":4,"doc_module_name":46,"category_name":111,"show_sort_weight":112,"slug":113},6,"Technology",50,"technology",{"id":21,"doc_module":4,"doc_module_name":46,"category_name":115,"show_sort_weight":116,"slug":117},"Healthcare",40,"healthcare",{"id":119,"doc_module":4,"doc_module_name":46,"category_name":120,"show_sort_weight":121,"slug":122},8,"Research & Report",30,"research-report",{"id":124,"doc_module":4,"doc_module_name":46,"category_name":125,"show_sort_weight":126,"slug":127},9,"Religion & Spirituality",20,"religion-spirituality",{"id":126,"doc_module":4,"doc_module_name":46,"category_name":129,"show_sort_weight":126,"slug":130},"World Cup","world-cup",{"id":132,"doc_module":4,"doc_module_name":46,"category_name":133,"show_sort_weight":132,"slug":134},10,"Lifestyle","lifestyle",{"id":136,"doc_module":4,"doc_module_name":46,"category_name":137,"show_sort_weight":105,"slug":138},19,"General","general"]